diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bad_ruc.json b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bad_ruc.json new file mode 100644 index 000000000..d80a8b2de --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bad_ruc.json @@ -0,0 +1 @@ +{"elements": {"bus": {"Abel": {"id": "101", "base_kv": 138.0, "matpower_bustype": "PV", "vm": 1.04777, "va": -7.74152, "v_min": 0.95, "v_max": 1.05, "area": "1", "zone": "11.0"}, "Adams": {"id": "102", "base_kv": 138.0, "matpower_bustype": "PV", "vm": 1.04783, "va": -7.81784, "v_min": 0.95, "v_max": 1.05, "area": "1", "zone": "12.0"}, "Adler": {"id": "103", "base_kv": 138.0, "matpower_bustype": "PQ", "vm": 1.01085, "va": -7.2109, "v_min": 0.95, "v_max": 1.05, "area": "1", "zone": "11.0"}, "Agricola": {"id": "104", "base_kv": 138.0, "matpower_bustype": "PQ", "vm": 1.01765, "va": -10.56614, "v_min": 0.95, 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b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/bus_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/contingency_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/contingency_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/daily_summary.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/daily_summary.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/hourly_gen_summary.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/hourly_gen_summary.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/hourly_summary.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/hourly_summary.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/line_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/line_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/renewables_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/renewables_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/runtimes.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/runtimes.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/thermal_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/thermal_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/virtual_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_multiperiod_usc/virtual_detail.csv new file mode 100644 index 000000000..e69de29bb diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/bidder_detail.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/bidder_detail.csv new file mode 100644 index 000000000..dedb2f50a --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/bidder_detail.csv @@ -0,0 +1,97 @@ +Generator,Date,Hour,Power 0 [MW],Cost 0 [$],Power 1 [MW],Cost 1 [$],Power 2 [MW],Cost 2 [$],Power 3 [MW],Cost 3 [$],Power 4 [MW],Cost 4 [$],Power 5 [MW],Cost 5 [$] +102_STEAM_3,2020-07-10,0,286,6339.48172,321.66,7308.720520000001,350,8079.00172,400,9438.00172,430,10253.40172,460,11068.80172 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b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/bidding_model_detail.csv @@ -0,0 +1,97 @@ +Date,Hour,Horizon [hr],Thermal Power Generated [MW],Total Cost [$],Hot Tank Level [MT],Plant Heat Duty [MWth],Storage Power [MW],Plant Power [MW],HXC Duty,HXD Duty,HXC Salt Flow,HXD Salt Flow,HXC Salt T in,HXC Salt T out,HXD Salt T in,HXD Salt T out,HXD Steam T out,HXD Steam out Vfrac,Scenario +2020-07-10,,0,321.66,50607831.18,76000.0,676.89,1.66,320.0,10.0,10.0,20.87,20.87,513.15,831.0,831.0,513.15,824.74,0.0,0 +2020-07-10,,1,285.67,45740764.71,76000.0,599.69,1.67,284.0,10.0,10.0,20.87,20.87,513.15,831.0,831.0,513.15,822.6,0.0,0 +2020-07-10,,2,285.67,45740764.71,76000.0,599.69,1.67,284.0,10.0,10.0,20.87,20.87,513.15,831.0,831.0,513.15,822.6,0.0,0 +2020-07-10,,3,285.67,45740764.71,76000.0,599.69,1.67,284.0,10.0,10.0,20.87,20.87,513.15,831.0,831.0,513.15,822.6,0.0,0 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+1,3505 @@ +Date,Hour,Minute,Bus,Demand,Shortfall,Overgeneration,LMP,LMP DA +2020-07-10,0,0,Abel,53.084538,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Adams,47.677779,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Adler,88.474229,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Agricola,36.372739,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Aiken,34.898168,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Alber,66.847195,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Alder,61.440437,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Alger,84.050518,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Ali,86.016612,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Allen,95.847082,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Anna,0.0,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Archer,0.0,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Arne,130.253726,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Arnold,95.355558,0.0,0.0,19.983547,20.400003 +2020-07-10,0,0,Arthur,155.812948,0.0,0.0,19.983547,20.400003 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a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/daily_summary.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/daily_summary.csv new file mode 100644 index 000000000..24a9010f2 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/daily_summary.csv @@ -0,0 +1,3 @@ +Date,Demand,Renewables available,Renewables used,Renewables penetration rate,Average price,Fixed costs,Generation costs,Load shedding,Over generation,Reserve shortfall,Renewables curtailment,Number on/offs,Sum on/off ramps,Sum nominal ramps,Renewables energy payments,Renewables uplift payments,Thermal energy payments,Thermal uplift payments,Total energy payments,Total uplift payments,Total reserve payments,Total payments,Average payments 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a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/runtimes.csv b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/runtimes.csv new file mode 100644 index 000000000..7401d39d4 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/bidding_plugin_test_multiperiod_rankine/runtimes.csv @@ -0,0 +1,49 @@ +Date,Hour,Minute,Type,Solve Time +2020-07-10,0,0,SCED,0.084774 +2020-07-10,1,0,SCED,0.070816 +2020-07-10,2,0,SCED,0.048868 +2020-07-10,3,0,SCED,0.071795 +2020-07-10,4,0,SCED,0.056845 +2020-07-10,5,0,SCED,0.102722 +2020-07-10,6,0,SCED,0.055843 +2020-07-10,7,0,SCED,0.059834 +2020-07-10,8,0,SCED,0.053381 +2020-07-10,9,0,SCED,0.048868 +2020-07-10,10,0,SCED,0.055851 +2020-07-10,11,0,SCED,0.055817 +2020-07-10,12,0,SCED,0.051863 +2020-07-10,13,0,SCED,0.055887 +2020-07-10,14,0,SCED,0.059847 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-0,0 +1 @@ +Date,Hour,Minute,Generator,Output,Output DA,Unit Market Revenue,Unit Uplift Payment diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_double_loop_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_double_loop_usc.py new file mode 100644 index 000000000..2846b94ab --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_double_loop_usc.py @@ -0,0 +1,366 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +""" +This script describes a multiperiod class to build an object for the +integrated ultra-supercritical power plant and molten-salt based +thermal energy storage model. +""" + +__author__ = "Naresh Susarla" + +import pyomo.environ as pyo +import pandas as pd +from collections import deque +from dispatches.case_studies.fossil_case.ultra_supercritical_plant \ + .storage.multiperiod_integrated_storage_usc import create_multiperiod_usc_model + + +class MultiPeriodUsc: + def __init__( + self, model_data=None + ): + """ + Arguments: + horizon: Int64 - number of time points to use for associated multi-period model + + Returns: + Float64: Value of power output in last time step + """ + self.multiperiod_usc = None + self.result_list = [] + self.result_listimp = [] + self.model_data = model_data + + def populate_model(self, b, horizon): + """ + Create an integrated ultra-supercritical power plant and molten salt + thermal energy storage model using the `MultiPeriod` package. + + Arguments: + blk: this is an empty block passed in from either a bidder or tracker + + Returns: + None + """ + tank_min = 76000 # in kg + tank_max = 6739292 # in kg + + blk = b + if not blk.is_constructed(): + blk.construct() + + multiperiod_usc = create_multiperiod_usc_model( + n_time_points=horizon, + pmin=self.model_data.p_min, pmax=self.model_data.p_max + ) + blk.usc_mp = multiperiod_usc + + active_blks = multiperiod_usc.get_active_process_blocks() + active_blks[0].usc_mp.previous_salt_inventory_hot.fix(tank_min) + active_blks[0].usc_mp.previous_salt_inventory_cold.fix(tank_max-tank_min) + active_blks[0].usc_mp.previous_power.fix(380) + + # create expression that references underlying power variables + blk.HOUR = pyo.Set(initialize=range(horizon)) + blk.P_T = pyo.Expression(blk.HOUR) + blk.tot_cost = pyo.Expression(blk.HOUR) + blk.hot_level = pyo.Expression(blk.HOUR) + blk.storage_power = pyo.Expression(blk.HOUR) + blk.plant_power = pyo.Expression(blk.HOUR) + blk.plant_duty = pyo.Expression(blk.HOUR) + blk.hxc_salt = pyo.Expression(blk.HOUR) + blk.hxc_duty = pyo.Expression(blk.HOUR) + blk.hxc_salt_Tin = pyo.Expression(blk.HOUR) + blk.hxc_salt_Tout = pyo.Expression(blk.HOUR) + blk.hxd_salt = pyo.Expression(blk.HOUR) + blk.hxd_duty = pyo.Expression(blk.HOUR) + blk.hxd_salt_Tin = pyo.Expression(blk.HOUR) + blk.hxd_salt_Tout = pyo.Expression(blk.HOUR) + blk.hxd_steam_Tout = pyo.Expression(blk.HOUR) + blk.hxd_steam_vfrac = pyo.Expression(blk.HOUR) + for (t, b) in enumerate(active_blks): + blk.P_T[t] = b.usc_mp.fs.net_power + blk.hot_level[t] = b.usc_mp.salt_inventory_hot + blk.storage_power[t] = ((-1e-6) + * b.usc_mp.fs.es_turbine.work_mechanical[0]) + blk.plant_duty[t] = b.usc_mp.fs.plant_heat_duty[0] + blk.tot_cost[t] = ( + b.usc_mp.fs.operating_cost + + (b.usc_mp.fs.plant_fixed_operating_cost + + b.usc_mp.fs.plant_variable_operating_cost) / (365 * 24) + ) + blk.plant_power[t] = b.usc_mp.fs.plant_power_out[0] + blk.hxc_salt[t] = b.usc_mp.fs.hxc.tube_inlet.flow_mass[0] + blk.hxc_duty[t] = b.usc_mp.fs.hxc.heat_duty[0] + blk.hxc_salt_Tin[t] = b.usc_mp.fs.hxc.tube_inlet.temperature[0] + blk.hxc_salt_Tout[t] = b.usc_mp.fs.hxc.tube_outlet.temperature[0] + blk.hxd_salt[t] = b.usc_mp.fs.hxd.shell_inlet.flow_mass[0] + blk.hxd_duty[t] = b.usc_mp.fs.hxd.heat_duty[0] + blk.hxd_salt_Tin[t] = b.usc_mp.fs.hxd.shell_inlet.temperature[0] + blk.hxd_salt_Tout[t] = b.usc_mp.fs.hxd.shell_outlet.temperature[0] + blk.hxd_steam_Tout[t] = b.usc_mp.fs.hxd.cold_side.properties_out[0].temperature + blk.hxd_steam_vfrac[t] = b.usc_mp.fs.hxd.cold_side.properties_out[0].vapor_frac + + + self.multiperiod_usc = multiperiod_usc + return + + def update_model(self, b, implemented_power_output, realized_soc): + + """ + Update `blk` variables using the actual implemented power output. + + Arguments: + blk: the block that needs to be updated + realized soc, i.e. the hot salt storage tank level: + implemented_power_output: + + Returns: + None + """ + blk = b + multiperiod_usc = blk.usc_mp + active_blks = multiperiod_usc.get_active_process_blocks() + + implemented_power = round(implemented_power_output[-1]) + realized_soc = round(realized_soc[-1]) + print("Implemented Power (MPC)", implemented_power) + print("Realized SOC (MPC)", realized_soc) + + active_blks[0].usc_mp.previous_power.fix(implemented_power) + active_blks[0].usc_mp.previous_salt_inventory_hot.fix(realized_soc) + + return + + @staticmethod + def get_last_delivered_power(b, last_implemented_time_step): + + """ + Returns the last delivered power output. + + Arguments: + blk: the block + last_implemented_time_step: time index for the last implemented time + step + + Returns: + Float64: Value of power output in the last time step + """ + blk = b + return pyo.value(blk.P_T[last_implemented_time_step]) + + @staticmethod + def get_implemented_profile(b, last_implemented_time_step): + + """ + This method gets the implemented variable profiles in the last optimization solve. + + Arguments: + blk: a Pyomo block + last_implemented_time_step: time index for the last implemented time step + + Returns: + profile: the intended profile, {unit: [...]} + """ + blk = b + multiperiod_usc = blk.usc_mp + active_blks = multiperiod_usc.get_active_process_blocks() + implemented_power_output = deque( + [ + pyo.value(active_blks[t].usc_mp.fs.net_power) + for t in range(last_implemented_time_step + 1) + ] + ) + realized_soc = deque( + [ + pyo.value(active_blks[t].usc_mp.salt_inventory_hot) + for t in range(last_implemented_time_step + 1) + ] + ) + + return { + "implemented_power_output": implemented_power_output, + "realized_soc": realized_soc, + } + + def record_results(self, b, date=None, hour=None, **kwargs): + + """ + Record the operations stats for the model. + + Arguments: + blk: pyomo block + date: current simulation date + hour: current simulation hour + + Returns: + None + + """ + blk = b + df_list = [] + df_listimp = [] + for t in blk.HOUR: + result_dict = {} + result_implemented = {} + + result_dict["Date"] = date + result_dict["Hour"] = hour + + # simulation inputs + result_dict["Horizon [hr]"] = int(t) + + # model vars + result_dict["Thermal Power Generated [MW]"] = float( + round(pyo.value(blk.P_T[t]), 2) + ) + result_dict["Total Cost [$]"] = float( + round(pyo.value(blk.tot_cost[t]), 2) + ) + result_dict["Hot Tank Level [MT]"] = float( + round(pyo.value(blk.hot_level[t]), 2) + ) + result_dict["Plant Heat Duty [MWth]"] = float( + round(pyo.value(blk.plant_duty[t]), 2) + ) + result_dict["Storage Power [MW]"] = float( + round(pyo.value(blk.storage_power[t]), 2) + ) + result_dict["Plant Power [MW]"] = float( + round(pyo.value(blk.plant_power[t]), 2) + ) + result_dict["HXC Duty"] = float( + round(pyo.value(blk.hxc_duty[t] * 1e-6), 2) + ) + result_dict["HXD Duty"] = float( + round(pyo.value(blk.hxd_duty[t] * 1e-6), 2) + ) + result_dict["HXC Salt Flow"] = float( + round(pyo.value(blk.hxc_salt[t]), 2) + ) + result_dict["HXD Salt Flow"] = float( + round(pyo.value(blk.hxd_salt[t]), 2) + ) + result_dict["HXC Salt T in"] = float( + round(pyo.value(blk.hxc_salt_Tin[t]), 2) + ) + result_dict["HXC Salt T out"] = float( + round(pyo.value(blk.hxc_salt_Tout[t]), 2) + ) + result_dict["HXD Salt T in"] = float( + round(pyo.value(blk.hxd_salt_Tin[t]), 2) + ) + result_dict["HXD Salt T out"] = float( + round(pyo.value(blk.hxd_salt_Tout[t]), 2) + ) + result_dict["HXD Steam T out"] = float( + round(pyo.value(blk.hxd_steam_Tout[t]), 2) + ) + result_dict["HXD Steam out Vfrac"] = float( + round(pyo.value(blk.hxd_steam_vfrac[t]), 2) + ) + + if t == 0: + # simulation inputs + result_implemented["Date"] = date + result_implemented["Hour"] = hour + result_implemented["Horizon [hr]"] = int(t) + + # model vars + result_implemented["Thermal Power Generated [MW]"] = float( + round(pyo.value(blk.P_T[t]), 2) + ) + result_implemented["Total Cost [$]"] = float( + round(pyo.value(blk.tot_cost[t]), 2) + ) + result_implemented["Hot Tank Level [MT]"] = float( + round(pyo.value(blk.hot_level[t]), 2) + ) + result_implemented["Plant Heat Duty [MWth]"] = float( + round(pyo.value(blk.plant_duty[t]), 2) + ) + result_implemented["Storage Power [MW]"] = float( + round(pyo.value(blk.storage_power[t]), 2) + ) + result_implemented["Plant Power [MW]"] = float( + round(pyo.value(blk.plant_power[t]), 2) + ) + result_implemented["HXC Duty"] = float( + round(pyo.value(blk.hxc_duty[t] * 1e-6), 2) + ) + result_implemented["HXD Duty"] = float( + round(pyo.value(blk.hxd_duty[t] * 1e-6), 2) + ) + result_implemented["HXC Salt Flow"] = float( + round(pyo.value(blk.hxc_salt[t]), 2) + ) + result_implemented["HXD Salt Flow"] = float( + round(pyo.value(blk.hxd_salt[t]), 2) + ) + result_implemented["HXC Salt T in"] = float( + round(pyo.value(blk.hxc_salt_Tin[t]), 2) + ) + result_implemented["HXC Salt T out"] = float( + round(pyo.value(blk.hxc_salt_Tout[t]), 2) + ) + result_implemented["HXD Salt T in"] = float( + round(pyo.value(blk.hxd_salt_Tin[t]), 2) + ) + result_implemented["HXD Salt T out"] = float( + round(pyo.value(blk.hxd_salt_Tout[t]), 2) + ) + result_implemented["HXD Steam T out"] = float( + round(pyo.value(blk.hxd_steam_Tout[t]), 2) + ) + result_implemented["HXD Steam out Vfrac"] = float( + round(pyo.value(blk.hxd_steam_vfrac[t]), 2) + ) + for key in kwargs: + result_dict[key] = kwargs[key] + result_implemented[key] = kwargs[key] + + result_df = pd.DataFrame.from_dict(result_dict, orient="index") + df_list.append(result_df.T) + result_df2 = pd.DataFrame.from_dict(result_implemented, orient="index") + df_listimp.append(result_df2.T) + + # append to result list + self.result_list.append(pd.concat(df_list)) + self.result_listimp.append(pd.concat(df_listimp)) + + return + + def write_results(self, path): + """ + Write the saved results to a csv file. + + Arguments: + path: the path to write the results. + + Return: + None + """ + + pd.concat(self.result_list).to_csv(path, index=False) + pd.concat(self.result_listimp).to_csv("tracking_results.csv") + + @property + def power_output(self): + return "P_T" + + @property + def total_cost(self): + return ("tot_cost", 1) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_integrated_storage_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_integrated_storage_usc.py new file mode 100644 index 000000000..83537e7af --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_integrated_storage_usc.py @@ -0,0 +1,239 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +""" +This script uses the IDAES multiperiod class to create a steady state +multiperiod model for the integrated ultra-supercritical power plant and +energy storage system. The purpose of this script is to create a multiperiod +model that can be use for market analysis either using a pricetaker assumption +or in a real-time scenario using the double loop framework. The integrated +storage with ultra-supercritical power plant model is used a steady state model +for creating the multiperiod model. +""" + +__author__ = "Naresh Susarla and Soraya Rawlings" + +try: + from importlib import resources # Python 3.8+ +except ImportError: + import importlib_resources as resources # Python 3.7 + + +from pyomo.environ import (NonNegativeReals, ConcreteModel, Constraint, Var) +from idaes.apps.grid_integration.multiperiod.multiperiod import ( + MultiPeriodModel) +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage import ( + integrated_storage_with_ultrasupercritical_power_plant as usc) +from dispatches.case_studies.fossil_case.ultra_supercritical_plant import storage + + +def create_usc_model(pmin, pmax): + + # Set bounds for plant power + min_storage_heat_duty = 10 # in MW + max_storage_heat_duty = 200 # in MW + + max_power = 436 # in MW + min_power = int(0.65 * max_power) # 283 in MW + + m = ConcreteModel() + + with resources.path(storage, "initialized_integrated_storage_usc.json") as data_file_path: + assert data_file_path.is_file() + m.usc_mp = usc.main(max_power=max_power, + load_from_file=str(data_file_path)) + + m.usc_mp.fs.plant_min_power_eq = Constraint( + expr=m.usc_mp.fs.plant_power_out[0] >= min_power + ) + m.usc_mp.fs.plant_max_power_eq = Constraint( + expr=m.usc_mp.fs.plant_power_out[0] <= max_power + ) + + m.usc_mp.fs.hxc.heat_duty.setlb(min_storage_heat_duty * 1e6) + m.usc_mp.fs.hxd.heat_duty.setlb(min_storage_heat_duty * 1e6) + + m.usc_mp.fs.hxc.heat_duty.setub(max_storage_heat_duty * 1e6) + m.usc_mp.fs.hxd.heat_duty.setub(max_storage_heat_duty * 1e6) + + # Unfix data + m.usc_mp.fs.boiler.inlet.flow_mol[0].unfix() + + # Unfix storage system data + m.usc_mp.fs.ess_hp_split.split_fraction[0, "to_hxc"].unfix() + m.usc_mp.fs.ess_bfp_split.split_fraction[0, "to_hxd"].unfix() + for salt_hxc in [m.usc_mp.fs.hxc]: + salt_hxc.shell_inlet.unfix() + salt_hxc.tube_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxc.area.unfix() # 1 DOF + + for salt_hxd in [m.usc_mp.fs.hxd]: + salt_hxd.tube_inlet.unfix() + salt_hxd.shell_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxd.area.unfix() # 1 DOF + + for unit in [m.usc_mp.fs.cooler]: + unit.inlet.unfix() + m.usc_mp.fs.cooler.outlet.enth_mol[0].unfix() # 1 DOF + + # Fix storage heat exchangers area and salt temperatures + m.usc_mp.fs.hxc.area.fix(1904) + m.usc_mp.fs.hxd.area.fix(2830) + m.usc_mp.fs.hxc.tube_outlet.temperature[0].fix(831) + m.usc_mp.fs.hxd.shell_inlet.temperature[0].fix(831) + m.usc_mp.fs.hxd.shell_outlet.temperature[0].fix(513.15) + + return m + + +def create_usc_mp_block(pmin=None, pmax=None): + print('>>> Creating USC model and initialization for each time period') + + if pmin is None: + pmin = int(0.65 * 436) + 1 + if pmax is None: + pmax = 436 + 30 + + m = create_usc_model(pmin, pmax) + b1 = m.usc_mp + + # Add coupling variables + b1.previous_power = Var( + domain=NonNegativeReals, + initialize=300, + bounds=(pmin, pmax), + doc="Previous period power (MW)" + ) + + inventory_max = 1e7 + inventory_min = 75000 + tank_max = 6739292 # Units in kg + + b1.previous_salt_inventory_hot = Var( + domain=NonNegativeReals, + initialize=inventory_min, + bounds=(0, inventory_max), + doc="Hot salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_hot = Var( + domain=NonNegativeReals, + initialize=inventory_min, + bounds=(0, inventory_max), + doc="Hot salt inventory at the end of the hour (or time period), kg" + ) + b1.previous_salt_inventory_cold = Var( + domain=NonNegativeReals, + initialize=tank_max-inventory_min, + bounds=(0, inventory_max), + doc="Cold salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_cold = Var( + domain=NonNegativeReals, + initialize=tank_max-inventory_min, + bounds=(0, inventory_max), + doc="Cold salt inventory at the end of the hour (or time period), kg" + ) + + @b1.fs.Constraint(doc="Plant ramping down constraint") + def constraint_ramp_down(b): + return ( + b1.previous_power - 60 <= + b1.fs.plant_power_out[0]) + + @b1.fs.Constraint(doc="Plant ramping up constraint") + def constraint_ramp_up(b): + return ( + b1.previous_power + 60 >= + b1.fs.plant_power_out[0]) + + @b1.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_hot(b): + return ( + b1.salt_inventory_hot == + b1.previous_salt_inventory_hot + + (3600*b1.fs.hxc.tube_inlet.flow_mass[0] + - 3600*b1.fs.hxd.shell_inlet.flow_mass[0]) + ) + + @b1.fs.Constraint(doc="Max salt flow to hxd based on available hot salt") + def constraint_salt_maxflow_hot(b): + return ( + 3600*b1.fs.hxd.shell_inlet.flow_mass[0] <= + b1.previous_salt_inventory_hot + ) + + @b1.fs.Constraint(doc="Max salt flow to hxc based on available cold salt") + def constraint_salt_maxflow_cold(b): + return ( + 3600*b1.fs.hxc.tube_inlet.flow_mass[0] <= + b1.previous_salt_inventory_cold + ) + + @b1.fs.Constraint(doc="Maximum salt inventory at any time") + def constraint_salt_inventory(b): + return ( + b1.salt_inventory_hot + + b1.salt_inventory_cold == b1.fs.salt_amount) + + return m + + +# The tank level and power output are linked between the contiguous time periods +def get_usc_link_variable_pairs(b1, b2): + """ + b1: current time block + b2: next time block + """ + return [(b1.usc_mp.salt_inventory_hot, + b2.usc_mp.previous_salt_inventory_hot), + (b1.usc_mp.fs.plant_power_out[0], + b2.usc_mp.previous_power)] + + +# The tank level at the end of the last time period must be the same as at the +# beginning of the first time period +def get_usc_periodic_variable_pairs(b1, b2): + """ + b1: final time block + b2: first time block + """ + # return + return [(b1.usc_mp.salt_inventory_hot, + b2.usc_mp.previous_salt_inventory_hot)] + +# Create the multiperiod model object. You can pass arguments to your +# "process_model_func" for each time period using a dict of dicts as +# shown here. In this case, it is setting up empty dictionaries for +# each time period. + + +def create_multiperiod_usc_model(n_time_points=4, pmin=None, pmax=None): + """ + Create a multi-period usc_mp cycle object. This object contains a pyomo + model with a block for each time instance. + + n_time_points: Number of time blocks to create + """ + multiperiod_usc = MultiPeriodModel( + n_time_points, + lambda: create_usc_mp_block(pmin=None, pmax=None), + get_usc_link_variable_pairs, + get_usc_periodic_variable_pairs + ) + + # If you have no arguments, you don't actually need to pass in + # anything. NOTE: building the model will initialize each time block + multiperiod_usc.build_multi_period_model() + return multiperiod_usc diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_usc_storage_pricetaker.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_usc_storage_pricetaker.py new file mode 100644 index 000000000..bb7a72939 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/multiperiod_usc_storage_pricetaker.py @@ -0,0 +1,462 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +from idaes.apps.grid_integration.multiperiod.multiperiod import ( + MultiPeriodModel) + +import pyomo.environ as pyo +from pyomo.environ import (Param, Reals, Expression, + NonNegativeReals, + value, Var) +from pyomo.util.infeasible import (log_infeasible_constraints, + log_close_to_bounds) +import numpy as np + +from idaes.core.util.model_statistics import degrees_of_freedom + +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage import ( + integrated_storage_with_ultrasupercritical_power_plant as usc) + +# For plots +from matplotlib import pyplot as plt +import matplotlib +matplotlib.rc('font', size=24) +plt.rc('axes', titlesize=24) + + +def create_ss_rankine_model(): + p_lower_bound = 350 # MW + p_upper_bound = 450 # MW + boiler_heat_max = 918e6 # in W + boiler_heat_min = 626e6 # 586e6 # in W + + m = pyo.ConcreteModel() + m.rankine = usc.main() + # set bounds for net cycle power output + m.rankine.fs.plant_power_out[0].unfix() + # m.rankine.fs.eq_min_power = pyo.Constraint( + # expr=m.rankine.fs.plant_power_out[0] >= p_lower_bound) + + # m.rankine.fs.eq_max_power = pyo.Constraint( + # expr=m.rankine.fs.plant_power_out[0] <= p_upper_bound) + + m.rankine.fs.boiler.inlet.flow_mol[0].unfix() # normally fixed + # m.rankine.fs.boiler.inlet.flow_mol[0].setlb(1) + m.rankine.fs.boiler.inlet.flow_mol[0].setlb(11804) + m.rankine.fs.boiler.inlet.flow_mol[0].setub(17854) + + m.rankine.fs.boiler.heat_duty[0].setlb(boiler_heat_min) + m.rankine.fs.boiler.heat_duty[0].setub(boiler_heat_max) + + # Unfix all data + m.rankine.fs.ess_hp_split.split_fraction[0, "to_hxc"].unfix() + m.rankine.fs.ess_bfp_split.split_fraction[0, "to_hxd"].unfix() + for salt_hxc in [m.rankine.fs.hxc]: + salt_hxc.shell_inlet.unfix() + salt_hxc.tube_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxc.area.unfix() # 1 DOF + + for salt_hxd in [m.rankine.fs.hxd]: + salt_hxd.tube_inlet.unfix() + salt_hxd.shell_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxd.area.unfix() # 1 DOF + + for unit in [m.rankine.fs.cooler]: + unit.inlet.unfix() + m.rankine.fs.cooler.outlet.enth_mol[0].unfix() # 1 DOF + + # Fix storage heat exchangers area and salt temperatures + # m.rankine.fs.salt_hot_temperature = 831 + m.rankine.fs.hxc.area.fix(1904) # 1904 + m.rankine.fs.hxd.area.fix(1095) # 1095 + m.rankine.fs.hxc.tube_outlet.temperature[0].fix(831) + m.rankine.fs.hxd.shell_inlet.temperature[0].fix(831) + m.rankine.fs.hxd.shell_outlet.temperature[0].fix(513.15) + + return m + + +# with open('rts_results_all_prices.npy', 'rb') as f: +# dispatch = np.load(f) +# price = np.load(f) + +# plt.figure(figsize=(12, 8)) +# prices_used = copy.copy(price) +# prices_used[prices_used > 200] = 200 +# x = list(range(0, len(prices_used))) +# plt.bar(x, (prices_used)) +# plt.xlabel("Hour") +# plt.ylabel("LMP $/MWh") + +# weekly_prices = prices_used.reshape(52, 168) +# plt.figure(figsize=(12, 8)) +# for week in [0, 15, 25, 35, 45, 51]: +# plt.plot(weekly_prices[week]) +# plt.title("6 Representative Weeks") +# plt.xlabel("Hour") +# plt.ylabel("LMP $/MWh") + +# plt.figure(figsize=(12, 8)) +# for week in range(0, 52): +# plt.plot(weekly_prices[week], color="blue", alpha=0.1) +# plt.title("52 Representative Weeks") +# plt.xlabel("Hour") +# plt.ylabel("LMP $/MWh") + +# turbine_ramp_rate = 100 +# battery_ramp_rate = 50 +def create_mp_rankine_block(): + m = create_ss_rankine_model() + b1 = m.rankine + # DOF = 1 + print('DOFs within mp create 1 =', degrees_of_freedom(m)) + # Add coupling variable (next_power_output) + # b1.previous_power = Var( + # # b1.fs.time, + # domain=NonNegativeReals, + # initialize=400, + # bounds=(100, 450), + # # bounds=(0, 6739292), + # doc="Previous period power (MW)" + # ) + + b1.previous_salt_inventory_hot = Var( + # b1.fs.time, + domain=NonNegativeReals, + initialize=1, + bounds=(0, 1e7), + # bounds=(0, 1e12), + # bounds=(0, 6739292), + doc="Hot salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_hot = Var( + # b1.fs.time, + domain=NonNegativeReals, + initialize=80, + bounds=(0, 1e7), + # bounds=(0, 1e12), + # bounds=(0, 6739292), + doc="Hot salt inventory at the end of the hour (or time period), kg" + ) + b1.previous_salt_inventory_cold = Var( + # b1.fs.time, + domain=NonNegativeReals, + initialize=1, + bounds=(0, 1e7), + # bounds=(0, 1e12), + # bounds=(0, 6739292), + doc="Cold salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_cold = Var( + # b1.fs.time, + domain=NonNegativeReals, + initialize=80, + bounds=(0, 1e7), + # bounds=(0, 1e12), + # bounds=(0, 6739292), + doc="Cold salt inventory at the end of the hour (or time period), kg" + ) + + # @b1.fs.Constraint(doc="Plant ramping down constraint") + # def constraint_ramp_down(b): + # return ( + # b1.previous_power - 40 >= + # b1.fs.plant_power_out[0]) + + # @b1.fs.Constraint(doc="Plant ramping up constraint") + # def constraint_ramp_up(b): + # return ( + # b1.previous_power + 40 <= + # b1.fs.plant_power_out[0]) + + @b1.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_hot(b): + return ( + b1.salt_inventory_hot == + b1.previous_salt_inventory_hot + + 3600*b1.fs.hxc.tube_inlet.flow_mass[0] + - 3600*b1.fs.hxd.shell_inlet.flow_mass[0]) + + @b1.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_cold(b): + return ( + b1.salt_inventory_cold == + b1.previous_salt_inventory_cold + - 3600*b1.fs.hxc.tube_inlet.flow_mass[0] + + 3600*b1.fs.hxd.shell_inlet.flow_mass[0]) + + # @b1.fs.Constraint(doc="Maximum salt inventory at any time") + # def constraint_salt_inventory(b): + # return ( + # b1.salt_inventory_hot + + # b1.salt_inventory_cold == b1.fs.salt_amount) + # print('DOFs after mp create =', degrees_of_freedom(m)) + + @b1.fs.Constraint(doc="Maximum previous salt inventory at any time") + def constraint_salt_previous_inventory(b): + return ( + b1.previous_salt_inventory_hot + + b1.previous_salt_inventory_cold == b1.fs.salt_amount) + print('DOFs after mp create =', degrees_of_freedom(m)) + # raise Exception() + return m + +# the power output and battery state are linked between time periods + + +def get_rankine_link_variable_pairs(b1, b2): + """ + b1: current time block + b2: next time block + """ + return [(b1.rankine.salt_inventory_hot, + b2.rankine.previous_salt_inventory_hot)]#, + # (b1.rankine.fs.plant_power_out[0], + # b2.rankine.previous_power)] + +# the final power output and battery state must be the same +# as the intial power output and battery state + + +def get_rankine_periodic_variable_pairs(b1, b2): + """ + b1: final time block + b2: first time block + """ + # return + return [(b1.rankine.salt_inventory_hot, + b2.rankine.previous_salt_inventory_hot)]#, + # (b1.rankine.fs.plant_power_out[0], + # b2.rankine.previous_power)] + +number_hours = 4 +n_time_points = 1 * number_hours # hours in a week + +# create the multiperiod model object +mp_rankine = MultiPeriodModel( + n_time_points=n_time_points, + process_model_func=create_mp_rankine_block, + linking_variable_func=get_rankine_link_variable_pairs, + periodic_variable_func=get_rankine_periodic_variable_pairs + ) + +# you can pass arguments to your `process_model_func` +# for each time period using a dict of dicts as shown here. +# In this case, it is setting up empty dictionaries for each time period. + +# OPTIONAL KEYWORD ARGUMENTS +# time_points = np.arange(0,n_time_points) +# data_points = [{} for i in range(n_time_points)] +# data_kwargs = dict(zip(time_points,data_points)) +# mp_rankine.build_multi_period_model(data_kwargs); + +# if you have no arguments, you don't actually need to pass in anything. +mp_rankine.build_multi_period_model() +# NOTE: building the model will initialize each time block + +# retrieve pyomo model and active process blocks (i.e. time blocks) +m = mp_rankine.pyomo_model +blks = mp_rankine.get_active_process_blocks() + +# power = [310, 325, 420, 400] # , 310, 325, 420, 400] +# lmp = [21, 22, 50, 100] # , 22.4929, 21.8439, 23.4379, 23.4379] +power = [310, 325, 420, 400] #, 310, 325, 420, 400, 310, 325, 420, 400, + # 310, 325, 420, 400, 310, 325, 420, 400, 310, 325, 420, 400] +lmp = [10, 20, 50, 100] #, 21, 22, 50, 100, 21, 22, 50, 100, + # 21, 22, 50, 100, 21, 22, 50, 100, 21, 22, 50, 100] +# lmp = [22.4929, 21.8439, 23.4379, 23.4379, 23.4379, 21.6473, 21.6473] + +count = 0 +# add market data for each block +for blk in blks: + # dummy_water_cost = 1.5e-2 # $/mol + blk_rankine = blk.rankine + blk.lmp_signal = Param(default=0, mutable=True) + blk.net_power = Expression(expr=( + blk.rankine.fs.plant_power_out[0] + + (-1e-6) * blk.rankine.fs.es_turbine.work_mechanical[0])) + blk.revenue = lmp[count]*blk.net_power + # blk.revenue = blk.lmp_signal*blk_rankine.fs.plant_power_out[0] + blk.operating_cost = pyo.Expression( + expr=( + (blk_rankine.fs.operating_cost + + blk_rankine.fs.plant_fixed_operating_cost + + blk_rankine.fs.plant_variable_operating_cost) / (365 * 24) + # + blk_rankine.fs.condenser_mix.makeup.flow_mol[0] * dummy_water_cost * 3600 + ) + ) + blk.cost = pyo.Expression(expr=-(blk.revenue - blk.operating_cost)) + # blk.fix_power = pyo.Constraint( + # expr=power[count] == blk.net_power + # ) + # Cycle efficiency + blk.cycle_efficiency = Expression( + expr=blk.net_power / \ + blk.rankine.fs.plant_heat_duty[0] * 100 + ) + # blk.fix_power = pyo.Constraint( + # expr=blk.dispatch == ( + # blk.rankine.fs.plant_power_out[0] + # + (-1e-6) * blk.rankine.fs.es_turbine.work_mechanical[0] + # ) + # ) + count += 1 + +m.obj = pyo.Objective(expr=sum([blk.cost for blk in blks])) +blks[0].rankine.previous_salt_inventory_hot.fix(1) +# blks[0].rankine.previous_salt_inventory_cold.fix(1) +# blks[0].rankine.previous_power.fix(400) + +n_weeks = 1 +opt = pyo.SolverFactory('ipopt') +hot_tank_level = [] +net_power = [] + +for week in range(n_weeks): + print("Solving for week: ", week) + # for (i, blk) in enumerate(blks): + # blk.lmp_signal = weekly_prices[week][i] + opt.solve(m, tee=True) + hot_tank_level.append( + [pyo.value(blks[i].rankine.salt_inventory_hot) + for i in range(n_time_points)]) + net_power.append( + # [pyo.value(blks[i].rankine.fs.plant_power_out[0]) + [pyo.value(blks[i].net_power) + for i in range(n_time_points)]) +log_close_to_bounds(m) +log_infeasible_constraints(m) + +c = 0 +for blk in blks: + print() + print('Period {}'.format(c+1)) + print(' Previous hot salt inventory: {:.4f}'.format( + value(blks[c].rankine.previous_salt_inventory_hot))) + print(' Hot salt inventory: {:.4f}'.format( + value(blks[c].rankine.salt_inventory_hot))) + print(' Boiler heat duty: {:.4f}'.format( + value(blks[c].rankine.fs.boiler.heat_duty[0]) * 1e-6)) + print(' Boiler flow mol (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.boiler.outlet.flow_mol[0]))) + print(' Cycle efficiency (%): {:.4f}'.format( + value(blks[c].cycle_efficiency))) + print(' Net power (MW): {} (Plant Power Out: {:.4f}, ES Turbine: {:.4f})'.format( + value(blks[c].net_power), + value(blks[c].rankine.fs.plant_power_out[0]), + value(blks[c].rankine.fs.es_turbine.work_mechanical[0])*(-1e-6))) + print(' Salt from HXC (kg) [kg/s]: {:.4f} [{:.4f}]'.format( + value(blks[c].rankine.fs.hxc.tube_outlet.flow_mass[0]) * 3600, + value(blks[c].rankine.fs.hxc.tube_outlet.flow_mass[0]))) + print(' Salt from HXD (kg) [kg/s]: {:.4f} [{:.4f}]'.format( + value(blks[c].rankine.fs.hxd.shell_outlet.flow_mass[0]) * 3600, + value(blks[c].rankine.fs.hxd.shell_outlet.flow_mass[0]))) + print(' HXC Duty (MW): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.heat_duty[0]) * 1e-6)) + print(' HXD Duty (MW): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.heat_duty[0]) * 1e-6)) + print(' Split fraction to HXC: {:.4f}'.format( + value(blks[c].rankine.fs.ess_hp_split.split_fraction[0, "to_hxc"]))) + print(' Split fraction to HXD: {:.4f}'.format( + value(blks[c].rankine.fs.ess_bfp_split.split_fraction[0, "to_hxd"]))) + print(' Steam flow HXC (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.shell_outlet.flow_mol[0]))) + print(' Steam flow HXD (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.tube_outlet.flow_mol[0]))) + print(' Makeup water flow: {:.6f}'.format( + value(blks[c].rankine.fs.condenser_mix.makeup.flow_mol[0]))) + print(' Delta T in HXC (K): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.delta_temperature_in[0]))) + print(' Delta T out HXC (K): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.delta_temperature_out[0]))) + print(' Delta T in HXD (K): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.delta_temperature_in[0]))) + print(' Delta T out HXD (K): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.delta_temperature_out[0]))) + c += 1 + +n_weeks_to_plot = 1 +hours = np.arange(n_time_points*n_weeks_to_plot) +# lmp_array = weekly_prices[0:n_weeks_to_plot].flatten() +lmp_array = np.asarray(lmp[0:n_time_points]) +hot_tank_array = np.asarray(hot_tank_level[0:n_weeks_to_plot]).flatten() + +# Convert array to list to include hot tank level at time zero +lmp_list = [0] + lmp_array.tolist() +hot_tank_array0 = value(blks[0].rankine.previous_salt_inventory_hot) +hours_list = hours.tolist() + [number_hours] +hot_tank_list = [hot_tank_array0] + hot_tank_array.tolist() + +color = ['tab:green', 'b', 'r'] +plt.rcParams['lines.linewidth'] = 2 +font = {'size':16} +plt.rc('font', **font) + +fig1, ax1 = plt.subplots(figsize=(10, 5)) +ax1.spines["top"].set_visible(False) +ax1.spines["right"].set_visible(False) +ax1.grid(linestyle=':', which='both', + color='#696969', alpha=0.20) +ax1.set_xlabel('Time Period (hr)') +ax1.set_ylabel('Hot Tank Level [kg]', color=color[2]) +ax1.step(# [x + 1 for x in hours], hot_tank_array, + hours_list, hot_tank_list, + marker='.', ms=8, + ls='-', lw=1, + color=color[2]) +ax1.tick_params(axis='y', labelcolor=color[2]) +ax1.set_xticks(np.arange(0, n_time_points*n_weeks_to_plot + 1, step=1)) + +ax2 = ax1.twinx() +ax2.set_ylabel('LMP [$/MWh]', + color=color[1]) +ax2.step(# [x + 1 for x in hours], lmp_array, + hours_list, lmp_list, + marker='o', ls='-', lw=1, + color=color[1]) +ax2.tick_params(axis='y', labelcolor=color[1]) +plt.savefig('hot_tank_lmp_vs_hours.png') + +power_array = np.asarray(net_power[0:n_weeks_to_plot]).flatten() +# Convert array to list to include net power at time zero +power_array0 = 0 # zero since the plant is not operating +power_list = [power_array0] + power_array.tolist() + +fig2, ax3 = plt.subplots(figsize=(10, 5)) +ax3.spines["top"].set_visible(False) +ax3.spines["right"].set_visible(False) +ax3.grid(linestyle=':', which='both', + color='#696969', alpha=0.20) +ax3.set_xlabel('Time Period (hr)') +ax3.set_ylabel('Net Power [MW]', color=color[0]) +ax3.step(# [x + 1 for x in hours], power_array + hours_list, power_list, + marker='.', ms=8, + ls='-', lw=1, + color=color[0]) +ax3.tick_params(axis='y', + labelcolor=color[0]) +ax3.set_xticks(np.arange(0, n_time_points*n_weeks_to_plot + 1, step=1)) + +ax4 = ax3.twinx() +ax4.set_ylabel('LMP [$/MWh]', + color=color[1]) +ax4.step([x + 1 for x in hours], lmp_array, + marker='o', ls='-', lw=1, + color=color[1]) +ax4.tick_params(axis='y', + labelcolor=color[1]) +plt.savefig('net_power_lmp_vs_hours.png') +plt.show() diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/nlp_multiperiod_usc_static_doubleloop.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/nlp_multiperiod_usc_static_doubleloop.py new file mode 100644 index 000000000..33d50764a --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/nlp_multiperiod_usc_static_doubleloop.py @@ -0,0 +1,576 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +from idaes.apps.grid_integration.multiperiod.multiperiod import ( + MultiPeriodModel) + +import pyomo.environ as pyo +from pyomo.environ import (Param, Reals, + NonNegativeReals, + value, Var) +from pyomo.util.infeasible import log_close_to_bounds +import numpy as np + +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage import ( + integrated_storage_with_ultrasupercritical_power_plant as usc) + +# For plots +from matplotlib import pyplot as plt +import matplotlib +matplotlib.rc('font', size=24) +plt.rc('axes', titlesize=24) + +import logging +logging.getLogger('pyomo.repn.plugins.nl_writer').setLevel(logging.ERROR) + +max_power = 436 # in MW +min_power = int(0.65 * max_power) # 283 in MW +max_power_storage = 29 # in MW +min_power_storage = 2 # in MW +max_power_total = max_power + max_power_storage +min_power_total = min_power + min_power_storage +min_storage_heat_duty = 0.01 # in MW +max_storage_heat_duty = 150 # in MW +# TODO: Verify that this is the right data file +load_from_file = '../final_report/initialized_usc_storage_nlp_mp_unfixed_area.json' + +# Add number of days and hours per week +number_days = 1 +hours_per_day = 24 +number_hours = hours_per_day * number_days +n_time_points = 1 * number_hours # hours in a week + +lx = False +if lx: + scaling_obj = 1 + scaling_factor = 1e-3 +else: + scaling_obj = 1e-3 + scaling_factor = 1e-3 + +print() +print('Scaling_factor:', scaling_factor) + +tank_scenario = "hot_empty" # scenarios: "hot_empty", "hot_full", "hot_half_full" +tank_min = 1 * scaling_factor# in kg +tank_max = 6739292 * scaling_factor# in kg + +power_dispatch = [400, 386, 430, 410, + 450, 395, 380, 325, + 300, 0, 0, 0, + 0, 0, 0, 0, + 320, 360, 415, 450, + 455, 440, 445, 430] +# Select lmp source data and scaling factor according to that +use_rts_data = False +use_mod_rts_data = True +if use_rts_data: + print('>>>>>> Using RTS lmp data') + with open('rts_results_all_prices_base_case.npy', 'rb') as f: + dispatch = np.load(f) + price = np.load(f) +elif use_mod_rts_data: + # price = [22.9684, 21.1168, 20.4, 20.419, + # 20.419, 21.2877, 23.07, 25, + # 18.4634, 0, 0, 0, + # 0, 0, 0, 0, + # 19.0342, 23.07, 200, 200, + # 200, 200, 200, 200] + price = [22.9684, 21.1168, 20.4, 20.419, + 20.419, 21.2877, 23.07, 25, + 18.4634, 0, 0, 0, + 0, 0, 0, 0, + 19.0342, 23.07, 22.9684, 21.1168, + 19.0342, 23.07, 22.9684, 21.1168] + # 100, 100, 100, 100] +else: + print('>>>>>> Using NREL lmp data') + price = np.load("nrel_scenario_average_hourly.npy") + +def create_ss_rankine_model(): + + m = pyo.ConcreteModel() + m.rankine = usc.main(max_power=max_power, + load_from_file=load_from_file) + + # Set bounds for plant power + m.rankine.fs.plant_min_power_eq = pyo.Constraint( + expr=m.rankine.fs.plant_power_out[0] >= min_power + ) + m.rankine.fs.plant_max_power_eq = pyo.Constraint( + expr=m.rankine.fs.plant_power_out[0] <= max_power + ) + + # Set bounds for discharge turbine + m.rankine.fs.es_turbine_min_power_eq = pyo.Constraint( + expr=m.rankine.fs.es_turbine.work[0] * (-1e-6) >= min_power_storage + ) + m.rankine.fs.es_turbine_max_power_eq = pyo.Constraint( + expr=m.rankine.fs.es_turbine.work[0] * (-1e-6) <= max_power_storage + ) + + m.rankine.fs.hxc.heat_duty.setlb(min_storage_heat_duty * 1e6) + m.rankine.fs.hxd.heat_duty.setlb(min_storage_heat_duty * 1e6) + m.rankine.fs.hxc.heat_duty.setub(max_storage_heat_duty * 1e6) + # m.rankine.fs.hxd.heat_duty.setub(max_storage_heat_duty * 1e6 * (1 - 0.01)) + + # Unfix data + m.rankine.fs.boiler.inlet.flow_mol[0].unfix() + + # Unfix storage system data + m.rankine.fs.ess_hp_split.split_fraction[0, "to_hxc"].unfix() + m.rankine.fs.ess_bfp_split.split_fraction[0, "to_hxd"].unfix() + for salt_hxc in [m.rankine.fs.hxc]: + salt_hxc.shell_inlet.unfix() + salt_hxc.tube_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxc.area.unfix() # 1 DOF + + for salt_hxd in [m.rankine.fs.hxd]: + salt_hxd.tube_inlet.unfix() + salt_hxd.shell_inlet.flow_mass.unfix() # kg/s, 1 DOF + salt_hxd.area.unfix() # 1 DOF + + for unit in [m.rankine.fs.cooler]: + unit.inlet.unfix() + m.rankine.fs.cooler.outlet.enth_mol[0].unfix() # 1 DOF + + # Fix storage heat exchangers area and salt temperatures + m.rankine.fs.hxc.area.fix(1904) + m.rankine.fs.hxd.area.fix(2830) + m.rankine.fs.hxc.tube_outlet.temperature[0].fix(831) + m.rankine.fs.hxd.shell_inlet.temperature[0].fix(831) + m.rankine.fs.hxd.shell_outlet.temperature[0].fix(513.15) + + return m + + +def create_mp_rankine_block(): + print('>>> Creating USC model and initialization for each time period') + m = create_ss_rankine_model() + b1 = m.rankine + + # print('DOFs within mp create 1 =', degrees_of_freedom(m)) + + # Add coupling variables + b1.previous_power = Var( + domain=NonNegativeReals, + initialize=400, + bounds=(min_power, max_power_total), + doc="Previous period power (MW)" + ) + + inventory_max = 1e7 * scaling_factor + b1.previous_salt_inventory_hot = Var( + domain=NonNegativeReals, + initialize=1, + bounds=(0, inventory_max), + doc="Hot salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_hot = Var( + domain=NonNegativeReals, + initialize=80, + bounds=(0, inventory_max), + doc="Hot salt inventory at the end of the hour (or time period), kg" + ) + b1.previous_salt_inventory_cold = Var( + domain=NonNegativeReals, + initialize=1, + bounds=(0, inventory_max), + doc="Cold salt at the beginning of the hour (or time period), kg" + ) + b1.salt_inventory_cold = Var( + domain=NonNegativeReals, + initialize=80, + bounds=(0, inventory_max), + doc="Cold salt inventory at the end of the hour (or time period), kg" + ) + + @b1.fs.Constraint(doc="Plant ramping down constraint") + def constraint_ramp_down(b): + return ( + b1.previous_power - 60 <= + b1.fs.plant_power_out[0]) + + @b1.fs.Constraint(doc="Plant ramping up constraint") + def constraint_ramp_up(b): + return ( + b1.previous_power + 60 >= + b1.fs.plant_power_out[0]) + + @b1.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_hot(b): + return ( + b1.salt_inventory_hot == + b1.previous_salt_inventory_hot + + (3600*b1.fs.hxc.tube_inlet.flow_mass[0] + - 3600*b1.fs.hxd.shell_inlet.flow_mass[0]) * scaling_factor + ) + + @b1.fs.Constraint(doc="Maximum salt inventory at any time") + def constraint_salt_inventory(b): + return ( + b1.salt_inventory_hot + + b1.salt_inventory_cold == b1.fs.salt_amount * scaling_factor) + # print('DOFs after mp create =', degrees_of_freedom(m)) + + return m + + +# The tank level and power output are linked between time periods +def get_rankine_link_variable_pairs(b1, b2): + """ + b1: current time block + b2: next time block + """ + return [(b1.rankine.salt_inventory_hot, + b2.rankine.previous_salt_inventory_hot), + (b1.rankine.fs.plant_power_out[0], + b2.rankine.previous_power)] + + +# The final tank level and power output must be the same as the initial +# tank level and power output state +def get_rankine_periodic_variable_pairs(b1, b2): + """ + b1: final time block + b2: first time block + """ + # return + return [(b1.rankine.salt_inventory_hot, + b2.rankine.previous_salt_inventory_hot)]#, + # # (b1.rankine.fs.plant_power_out[0], + # # b2.rankine.previous_power)] + + +# Create the multiperiod model object. You can pass arguments to your +# "process_model_func" for each time period using a dict of dicts as +# shown here. In this case, it is setting up empty dictionaries for +# each time period. + +mp_rankine = MultiPeriodModel( + n_time_points=n_time_points, + process_model_func=create_mp_rankine_block, + linking_variable_func=get_rankine_link_variable_pairs, + # periodic_variable_func=get_rankine_periodic_variable_pairs +) + +# OPTIONAL KEYWORD ARGUMENTS +# time_points = np.arange(0,n_time_points) +# data_points = [{} for i in range(n_time_points)] +# data_kwargs = dict(zip(time_points,data_points)) +# mp_rankine.build_multi_period_model(data_kwargs); + +# If you have no arguments, you don't actually need to pass in +# anything. NOTE: building the model will initialize each time block +mp_rankine.build_multi_period_model() + +# Retrieve pyomo model and active process blocks (i.e. time blocks) +m = mp_rankine.pyomo_model +blks = mp_rankine.get_active_process_blocks() + +if use_rts_data: + lmp = price[0:number_hours].tolist() +elif use_mod_rts_data: + lmp = price +# print(lmp) + +# Add lmp market data for each block +count = 0 +for blk in blks: + blk_rankine = blk.rankine + blk.lmp_signal = Param(default=0, mutable=True) + blk.revenue = lmp[count]*blk.rankine.fs.net_power * scaling_factor + # blk.revenue = blk.lmp_signal*blk_rankine.fs.plant_power_out[0] + blk.operating_cost = pyo.Expression( + expr=( + (blk_rankine.fs.operating_cost + + blk_rankine.fs.plant_fixed_operating_cost + + blk_rankine.fs.plant_variable_operating_cost) / (365 * 24) + ) * scaling_factor + ) + blk.cost = pyo.Expression(expr=-(blk.revenue - blk.operating_cost)) + blk_rankine.fs.plant_power_dispatch_eq = pyo.Constraint( + expr=blk.rankine.fs.net_power >= power_dispatch[count] + ) + count += 1 + +m.obj = pyo.Objective(expr=sum([blk.cost for blk in blks]) * scaling_obj) + +# Initial state for salt tank for different scenarios +if tank_scenario == "hot_empty": + blks[0].rankine.previous_salt_inventory_hot.fix(tank_min) + blks[0].rankine.previous_salt_inventory_cold.fix(tank_max-tank_min) +elif tank_scenario == "hot_half_full": + blks[0].rankine.previous_salt_inventory_hot.fix(tank_max/2) + blks[0].rankine.previous_salt_inventory_cold.fix(tank_max/2) +elif tank_scenario == "hot_full": + blks[0].rankine.previous_salt_inventory_hot.fix(tank_max-tank_min) + blks[0].rankine.previous_salt_inventory_cold.fix(tank_min) +else: + print("Unrecognized scenario! Try hot_empty, hot_full, or hot_half_full") + +blks[0].rankine.previous_power.fix(400) + +# Plot results +n_weeks = 1 +opt = pyo.SolverFactory('ipopt') +opt.options = { + "max_iter": 100, +} +hot_tank_level = [] +cold_tank_level = [] +net_power = [] +hxc_duty = [] +hxd_duty = [] +for week in range(n_weeks): + print() + print(">>>>>> Solving for week {}: {} hours of operation in {} day(s) ".format(week + 1, number_hours, number_days)) + # for (i, blk) in enumerate(blks): + # blk.lmp_signal = weekly_prices[week][i] + results = opt.solve(m, tee=True) + hot_tank_level.append( + [(pyo.value(blks[i].rankine.salt_inventory_hot) / scaling_factor) * 1e-3 + for i in range(n_time_points)]) + cold_tank_level.append( + [(pyo.value(blks[i].rankine.salt_inventory_cold) / scaling_factor) * 1e-3 + for i in range(n_time_points)]) + # cold_tank_level.append( + # [((tank_max - pyo.value(blks[i].rankine.salt_inventory_hot)) / scaling_factor) * 1e-3 + # for i in range(n_time_points)]) + net_power.append( + [pyo.value(blks[i].rankine.fs.net_power) + for i in range(n_time_points)]) + hxc_duty.append( + [pyo.value(blks[i].rankine.fs.hxc.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + hxd_duty.append( + [pyo.value(blks[i].rankine.fs.hxd.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + +log_close_to_bounds(m) +# log_infeasible_constraints(m) +print(results) + +c = 0 +print('Objective: {:.4f}'.format(value(m.obj))) +for blk in blks: + print() + print('Period {}'.format(c+1)) + print(' Net power: {:.4f}'.format( + value(blks[c].rankine.fs.net_power))) + print(' Plant Power Out: {:.4f}'.format( + value(blks[c].rankine.fs.plant_power_out[0]))) + print(' ES Turbine Power: {:.4f}'.format( + value(blks[c].rankine.fs.es_turbine.work_mechanical[0])*(-1e-6))) + print(' Cost ($): {:.4f}'.format(value(blks[c].cost) / scaling_factor)) + print(' Revenue ($): {:.4f}'.format(value(blks[c].revenue) / scaling_factor)) + print(' Operating cost ($): {:.4f}'.format(value(blks[c].operating_cost) / scaling_factor)) + print(' Specific Operating cost ($/MWh): {:.4f}'.format( + (value(blks[c].operating_cost) / scaling_factor) / value(blks[c].rankine.fs.net_power))) + print(' Cycle efficiency (%): {:.4f}'.format( + value(blks[c].rankine.fs.cycle_efficiency))) + print(' Boiler efficiency (%): {:.4f}'.format( + value(blks[c].rankine.fs.boiler_eff) * 100)) + print(' Boiler heat duty: {:.4f}'.format( + value(blks[c].rankine.fs.boiler.heat_duty[0]) * 1e-6)) + print(' Boiler flow mol (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.boiler.outlet.flow_mol[0]))) + print(' Previous salt inventory (mton): {:.4f}'.format( + (value(blks[c].rankine.previous_salt_inventory_hot) / scaling_factor) * 1e-3)) + print(' Salt from HXC (mton): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.tube_outlet.flow_mass[0]) * 3600 * 1e-3)) + print(' Salt from HXD (mton): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.shell_outlet.flow_mass[0]) * 3600 * 1e-3)) + print(' HXC Duty (MW): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.heat_duty[0]) * 1e-6)) + print(' HXD Duty (MW): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.heat_duty[0]) * 1e-6)) + print(' Split fraction to HXC: {:.4f}'.format( + value(blks[c].rankine.fs.ess_hp_split.split_fraction[0, "to_hxc"]))) + print(' Split fraction to HXD: {:.4f}'.format( + value(blks[c].rankine.fs.ess_bfp_split.split_fraction[0, "to_hxd"]))) + print(' Salt flow HXC (kg/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.tube_outlet.flow_mass[0]))) + print(' Salt flow HXD (kg/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.shell_outlet.flow_mass[0]))) + print(' Steam flow HXC (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.shell_outlet.flow_mol[0]))) + print(' Steam flow HXD (mol/s): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.tube_outlet.flow_mol[0]))) + print(' Delta T in HXC (kg): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.delta_temperature_in[0]))) + print(' Delta T out HXC (kg): {:.4f}'.format( + value(blks[c].rankine.fs.hxc.delta_temperature_out[0]))) + print(' Delta T in HXD (kg): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.delta_temperature_in[0]))) + print(' Delta T out HXD (kg): {:.4f}'.format( + value(blks[c].rankine.fs.hxd.delta_temperature_out[0]))) + c += 1 + +n_weeks_to_plot = 1 +hours = np.arange(n_time_points*n_weeks_to_plot) +# lmp_array = weekly_prices[0:n_weeks_to_plot].flatten() +lmp_array = np.asarray(lmp[0:n_time_points]) +hot_tank_array = np.asarray(hot_tank_level[0:n_weeks_to_plot]).flatten() +cold_tank_array = np.asarray(cold_tank_level[0:n_weeks_to_plot]).flatten() + +# Convert array to list to include hot tank level at time zero +lmp_list = [0] + lmp_array.tolist() +hot_tank_array0 = (value(blks[0].rankine.previous_salt_inventory_hot) / scaling_factor) * 1e-3 +cold_tank_array0 = (value(blks[0].rankine.previous_salt_inventory_cold) / scaling_factor) * 1e-3 +hours_list = hours.tolist() + [number_hours] +hot_tank_list = [hot_tank_array0] + hot_tank_array.tolist() +cold_tank_list = [cold_tank_array0] + cold_tank_array.tolist() + +font = {'size':16} +plt.rc('font', **font) +fig1, ax1 = plt.subplots(figsize=(12, 8)) + +color = ['r', 'b', 'tab:green', 'k', 'tab:orange'] +ax1.set_xlabel('Time Period (hr)') +ax1.set_ylabel('Salt Tank Level (metric ton)', + color=color[3]) +ax1.spines["top"].set_visible(False) +ax1.spines["right"].set_visible(False) +ax1.grid(linestyle=':', which='both', + color='gray', alpha=0.30) +plt.axhline((tank_max / scaling_factor)*1e-3, ls=':', lw=1.75, + color=color[4]) +plt.text(number_hours / 2 - 1.5, (tank_max/scaling_factor)*1e-3 + 100, 'max salt', + color=color[4]) +ax1.step(# [x + 1 for x in hours], hot_tank_array, + hours_list, hot_tank_list, + marker='^', ms=4, label='Hot Salt', + lw=1, color=color[0]) +ax1.step(# [x + 1 for x in hours], hot_tank_array, + hours_list, cold_tank_list, + marker='v', ms=4, label='Cold Salt', + lw=1, color=color[1]) +ax1.legend(loc="center right", frameon=False) +ax1.tick_params(axis='y')#, + # labelcolor=color[3]) +ax1.set_xticks(np.arange(0, n_time_points*n_weeks_to_plot + 1, step=2)) + +ax2 = ax1.twinx() +ax2.set_ylabel('LMP ($/MWh)', + color=color[2]) +ax2.step([x + 1 for x in hours], lmp_array, + marker='o', ms=3, alpha=0.5, + ls='-', lw=1, + color=color[2]) +ax2.tick_params(axis='y', + labelcolor=color[2]) +plt.savefig('multiperiod_usc_storage_new_area_rts1_salt_tank_level_{}h.png'.format(hours_per_day)) + + +font = {'size':18} +plt.rc('font', **font) + +power_array = np.asarray(net_power[0:n_weeks_to_plot]).flatten() +# Convert array to list to include net power at time zero +power_array0 = value(blks[0].rankine.previous_power) +power_list = [power_array0] + power_array.tolist() + +fig2, ax3 = plt.subplots(figsize=(12, 8)) +ax3.set_xlabel('Time Period (hr)') +ax3.set_ylabel('Net Power Output (MW)', + color=color[1]) +ax3.spines["top"].set_visible(False) +ax3.spines["right"].set_visible(False) +ax3.grid(linestyle=':', which='both', + color='gray', alpha=0.30) +plt.text(number_hours / 2 - 3, max_power - 5.5, 'max plant power', + color=color[4]) +plt.text(number_hours / 2 - 2.8, max_power_total + 1, 'max net power', + color=color[4]) +plt.axhline(max_power, ls='-.', lw=1.75, + color=color[4]) +plt.axhline(max_power_total, ls=':', lw=1.75, + color=color[4]) +ax3.step(hours_list, power_list, + marker='o', ms=4, + lw=1, color=color[1]) +ax3.tick_params(axis='y', + labelcolor=color[1]) +ax3.set_xticks(np.arange(0, n_time_points*n_weeks_to_plot + 1, step=2)) + +ax4 = ax3.twinx() +ax4.set_ylabel('LMP ($/MWh)', + color=color[2]) +ax4.step([x + 1 for x in hours], lmp_array, + marker='o', ms=3, alpha=0.5, + ls='-', lw=1, + color=color[2]) +ax4.tick_params(axis='y', + labelcolor=color[2]) +plt.savefig('multiperiod_usc_storage_new_area_rts1_power_{}h.png'.format(hours_per_day)) + + +zero_point = True +hxc_array = np.asarray(hxc_duty[0:n_weeks_to_plot]).flatten() +hxd_array = np.asarray(hxd_duty[0:n_weeks_to_plot]).flatten() +hxc_duty0 = 0 # zero since the plant is not operating +hxc_duty_list = [hxc_duty0] + hxc_array.tolist() +hxd_duty0 = 0 # zero since the plant is not operating +hxd_duty_list = [hxd_duty0] + hxd_array.tolist() + +fig3, ax5 = plt.subplots(figsize=(12, 8)) +ax5.set_xlabel('Time Period (hr)') +ax5.set_ylabel('Storage Heat Duty (MW)', + color=color[3]) +ax5.spines["top"].set_visible(False) +ax5.spines["right"].set_visible(False) +ax5.grid(linestyle=':', which='both', + color='gray', alpha=0.30) +plt.text(number_hours / 2 - 2.2, max_storage_heat_duty + 1, 'max storage', + color=color[4]) +plt.text(number_hours / 2 - 2, min_storage_heat_duty - 6.5, 'min storage', + color=color[4]) +plt.axhline(max_storage_heat_duty, ls=':', lw=1.75, + color=color[4]) +plt.axhline(min_storage_heat_duty, ls=':', lw=1.75, + color=color[4]) +if zero_point: + ax5.step(hours_list, hxc_duty_list, + marker='^', ms=4, label='Charge', + color=color[0]) + ax5.step(hours_list, hxd_duty_list, + marker='v', ms=4, label='Discharge', + color=color[1]) +else: + ax5.step([x + 1 for x in hours], hxc_array, + marker='^', ms=4, lw=1, + label='Charge', + color=color[0]) + ax5.step([x + 1 for x in hours], hxd_array, + marker='v', ms=4, lw=1, + label='Discharge', + color=color[1]) +ax5.legend(loc="center right", frameon=False) +ax5.tick_params(axis='y', + labelcolor=color[3]) +ax5.set_xticks(np.arange(0, n_time_points*n_weeks_to_plot + 1, step=2)) + +ax6 = ax5.twinx() +ax6.set_ylabel('LMP ($/MWh)', + color=color[2]) +ax6.step([x + 1 for x in hours], lmp_array, + marker='o', ms=3, alpha=0.5, + ls='-', color=color[2]) +ax6.tick_params(axis='y', + labelcolor=color[2]) +plt.savefig('multiperiod_usc_storage_new_area_rts1_hxduty_{}h.png'.format(hours_per_day)) + +plt.show() diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plot_doubleloop_results.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plot_doubleloop_results.py new file mode 100644 index 000000000..a9a212b18 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plot_doubleloop_results.py @@ -0,0 +1,215 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +import os +from types import ModuleType +import pandas as pd +from importlib import resources +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.ticker import MultipleLocator, FormatStrFormatter, AutoMinorLocator +try: + from importlib import resources # Python 3.8+ +except ImportError: + import importlib_resources as resources # Python 3.7 +from dispatches.case_studies.fossil_case.ultra_supercritical_plant import storage +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage.double_loop import bidding_plugin_test_multiperiod_rankine + +# result_dir = 'bidding_plugin_test_multiperiod_rankine3d2s_0420' + + + +# comparison_result_dir = "no_plugin_result" +# result_dir = "double_loop_plugin_multiperiod_wind_battery" +# rts_dir = "/home/xgao1/DowlingLab/RTS-GMLC/RTS_Data/SourceData" + +fossil_gen = "102_STEAM_3" +bus = 102 + +MAJOR_TICK_SIZE = "xx-large" +MINOR_TICK_SIZE = "xx-large" +LABEL_SIZE = "xx-large" +LEGEND_SIZE = "xx-large" +TITLE_SIZE = "xx-large" + +# tracker_df = pd.read_csv(os.path.join(result_dir, "tracking_model_detail_new.csv")) +# tracker_df = pd.read_csv(os.path.join("tracking_results.csv")) +# tracker_df = tracker_df.loc[tracker_df["Horizon [hr]"]==0] +# tracker_df["Time Index"] = range(len(tracker_df)) +# tracker_df + +# fig, ax = plt.subplots(figsize=(10,5)) +# tracker_df.plot(x="Time Index", y="Power Dispatch [MW]", ax=ax, label='RT Dispatches') +# tracker_df.plot(x="Time Index", y="Power Output [MW]", ax=ax, label='Power Output') + +# ax.set_xlabel("Time [hr]", fontsize=LABEL_SIZE) +# ax.set_ylabel("Power Output [MW]", fontsize=LABEL_SIZE) +# ax.xaxis.set_minor_locator(MultipleLocator(4)) +# ax.xaxis.set_major_locator(MultipleLocator(24)) + +# ax.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) +# ax.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) + +# plt.rc('legend', fontsize = LEGEND_SIZE) +# plt.grid(False) +# plt.savefig('dispatch_results_3day_0413.png') + +# ax.grid() +# ax.set_title(f"{fossil_gen} Plugin Power Output", fontsize=TITLE_SIZE) +with resources.path(storage, "tracking_results.csv") as data_file_path: + assert data_file_path.is_file() + tracking_model_df = pd.read_csv(str(data_file_path)) +# with resources.path(bidding_plugin_test_multiperiod_rankine, "tracker_detail.csv") as data_file_path2: +# assert data_file_path2.is_file() +# tracking_model_df2 = pd.read_csv(str(data_file_path2)) + +# tracking_model_df = pd.read_csv(os.path.join(result_dir, "tracking_model_detail_new.csv")) +tracking_model_df = tracking_model_df.loc[tracking_model_df["Horizon [hr]"]==0] +# tracking_model_df2 = tracking_model_df2.loc[tracking_model_df2["Horizon [hr]"]==0] +tracking_model_df["Time Index"] = range(len(tracking_model_df)) +# tracking_model_df +tracking_model_df["Storage Tank Level [%]"] = tracking_model_df["Hot Tank Level [MT]"]/67392.92 +tracking_model_df["Boiler Duty [MWth]"] = tracking_model_df["Plant Heat Duty [MWth]"] + +fig, ax = plt.subplots(figsize=(12, 6)) +ax2 = ax.twinx() +cols = ["Plant Power [MW]", "Storage Power [MW]", "Time Index"] +ylabels = ["Plant Power [MW]", "Storage Power [MW]"] +tracking_model_df[cols].plot(x="Time Index", kind='bar', width=1, stacked=True, ax=ax, label=ylabels, ylim=(0, 600)) +# tracking_model_df[cols].plot.area(x="Time Index", ax=ax) +# tracking_model_df.plot(x="Time Index", y="Power Dispatch [MW]", drawstyle="steps-mid",ax=ax, label='RT Dispatches [MWe]', color="black", ylim=(0, 600)) +# plt.savefig('tracking_dispatch_results_3day.png') +# plt.show() + +tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, label='Storage Level [%]', color="red", ylim=(0, 600)) +tracking_model_df.plot(x="Time Index", y="Boiler Duty [MWth]", ax=ax, label='Boiler Duty [$MW_{th}$]', color="pink", ylim=(0, 600)) +# legend1 = pyplot.legend(plot_lines[0], ["algo1", "algo2", "algo3"], loc=1) +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") +# tracking_model_df.plot(x="Time Index", y="Power Prices [$/MWh]", ax=ax2, label='LMP [$/MWh]', color="gold", ylim=(0, 40)) +# legend1 = plt.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper left", bbox_to_anchor=(0.7,1.2)) +# tracker_df.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper left", bbox_to_anchor=(0.7,1.2)) +ax.set_xlabel("Time [hr]", fontsize=LABEL_SIZE) +# ax.set_ylabel("Power [MW]", fontsize=LABEL_SIZE) +ax2.set_ylabel("LMP [$/MWh]", fontsize=LABEL_SIZE) +ax.xaxis.set_minor_locator(MultipleLocator(4)) +ax.xaxis.set_major_locator(MultipleLocator(24)) +ax2.xaxis.set_minor_locator(MultipleLocator(4)) +ax2.xaxis.set_major_locator(MultipleLocator(24)) +ax.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper left", bbox_to_anchor=(0.26,1.3)) + +ax.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) +ax.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) +ax2.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) +ax2.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) + +# ax.grid() +# plt.ylim([0, 500]) +# plt.grid(False) +plt.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper left", bbox_to_anchor=(-0.01,1.2)) +plt.savefig('doubleloop_standard_0422_3d.png') +plt.show() + +fig, ax = plt.subplots(figsize=(10, 5)) +ax2 = ax.twinx() +# cols = ["Plant Power [MW]", "Storage Power [MW]", "Time Index"] +# tracking_model_df[cols].plot(x="Time Index", kind='bar', width=1, stacked=True, ax=ax) +# tracking_model_df[cols].plot.area(x="Time Index", ax=ax) +# tracker_df.plot(x="Time Index", y="Power Dispatch [MW]", drawstyle="steps-mid",ax=ax, label='RT Dispatches', color="black") +# plt.savefig('tracking_dispatch_results_3day.png') +# plt.show() +# tracking_model_df.plot(x="Time Index", y="Power Prices [$/MWh]", ax=ax, label='LMP [$/MWh]', color="green", ylim=(0,40)) +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, label='Tank Level [%]', color="red") +tracking_model_df.plot(x="Time Index", y="Hot Tank Level [MT]", drawstyle="steps-mid",ax=ax2, label='Tank Level [MT]', color="red", ylim=(0,3e6)) +# +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") + +ax.set_xlabel("Time [hr]", fontsize=LABEL_SIZE) +# ax.set_ylabel("LMP [$/MWh]", fontsize=LABEL_SIZE) +ax2.set_ylabel("Salt Level [MT]", fontsize=LABEL_SIZE) +ax.xaxis.set_minor_locator(MultipleLocator(4)) +ax.xaxis.set_major_locator(MultipleLocator(24)) + +ax.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) +ax.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) + +# ax.grid() +# plt.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper center", bbox_to_anchor=(0.5,1.35)) +# plt.ylim([0, 500]) +# plt.grid(False) +plt.savefig('LMP_SaltLevel_0422_3d.png') +plt.show() +# **************************************************** + +# ax.set_title(f"{fossil_gen} Plugin Tracking Power States", fontsize=TITLE_SIZE) + +# bidding_model_df = pd.read_csv(os.path.join(result_dir, "bidding_model_detail_3day.csv")) +# bidding_model_df = bidding_model_df.loc[bidding_model_df["Horizon [hr]"]<24] +# bidding_model_df["Time Index"] = range(len(bidding_model_df)) +# #bidding_model_df + +# fig, ax = plt.subplots(figsize=(10, 5)) +# cols = ["Plant Power [MW]", "Storage Power [MW]", "Time Index"] +# bidding_model_df[cols].plot(x="Time Index", kind='bar', width=1, stacked=True, ax=ax) +# bidding_model_df[cols].plot.area(x="Time Index", ax=ax) +# # tracker_df.plot(x="Time Index", y="Power Dispatch [MW]", ax=ax, label='RT Dispatches', color="black") +# # bidding_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") +# bidding_model_df.plot(x="Time Index", y="Total Power Output [MW]", drawstyle="steps-mid", ax=ax, color="black") + +# ax.set_xlabel("Time [hr]", fontsize=LABEL_SIZE) +# ax.set_ylabel("Power [MW]", fontsize=LABEL_SIZE) +# ax.xaxis.set_minor_locator(MultipleLocator(4)) +# ax.xaxis.set_major_locator(MultipleLocator(24)) + +# ax.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) +# ax.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) + +# plt.rc('legend', fontsize = LEGEND_SIZE) + +# ax.grid() +# ax.set_title(f"{fossil_gen} Plugin Bidding Power States", fontsize=TITLE_SIZE) + +fig, ax = plt.subplots(figsize=(10, 5)) +ax2 = ax.twinx() +# cols = ["Plant Power [MW]", "Storage Power [MW]", "Time Index"] +# tracking_model_df[cols].plot(x="Time Index", kind='bar', width=1, stacked=True, ax=ax) +# tracking_model_df[cols].plot.area(x="Time Index", ax=ax) +# tracker_df.plot(x="Time Index", y="Power Dispatch [MW]", drawstyle="steps-mid",ax=ax, label='RT Dispatches', color="black") +# plt.savefig('tracking_dispatch_results_3day.png') +# plt.show() +# tracking_model_df.plot(x="Time Index", y="Power Prices [$/MWh]", ax=ax, label='LMP [$/MWh]', color="green", ylim=(0,40)) +tracking_model_df.plot(x="Time Index", y="HXC Duty", drawstyle="steps-mid", ax=ax2, label='Charge Heat Exchanger [$MW_{th}$]', color="red", ylim=(0,200)) +tracking_model_df.plot(x="Time Index", y="HXD Duty", drawstyle="steps-mid",ax=ax2, label='Discharge Heat Exchanger [$MW_{th}$]', color="blue", ylim=(0,200)) + +ax.legend(loc = "upper left", bbox_to_anchor=(0.01,1)) + +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") +# tracking_model_df.plot(x="Time Index", y="Storage Tank Level [%]", drawstyle="steps-mid", ax=ax, color="red") + +ax.set_xlabel("Time [hr]", fontsize=LABEL_SIZE) +# ax.set_ylabel("LMP [$/MWh]", fontsize=LABEL_SIZE) +ax2.set_ylabel("Heat Duty [$MW_{th}$]", fontsize=LABEL_SIZE) +ax.xaxis.set_minor_locator(MultipleLocator(4)) +ax.xaxis.set_major_locator(MultipleLocator(24)) + +ax.tick_params(axis='both', which='major', labelsize=MAJOR_TICK_SIZE) +ax.tick_params(axis='both', which='minor', labelsize=MINOR_TICK_SIZE) + +# ax.grid() +# plt.legend(fontsize=LEGEND_SIZE, ncol=2, loc = "upper center", bbox_to_anchor=(0.5,1.35)) +# plt.ylim([0, 500]) +# plt.grid(False) +plt.savefig('hx_duties_0422_3d.png') +plt.show() diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plugin_double_loop_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plugin_double_loop_usc.py new file mode 100644 index 000000000..89a54c864 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/plugin_double_loop_usc.py @@ -0,0 +1,133 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +# custom plugin file for running the rankine cycle with a battery as a +# multi-period model in the Prescient double-loop +import pickle +import pandas as pd +import pyomo.environ as pyo +from pyomo.common.config import ConfigDict, ConfigValue +from pyomo.common.fileutils import this_file_dir + +from idaes.apps.grid_integration.examples.utils import ( + rts_gmlc_generator_dataframe, + rts_gmlc_bus_dataframe, + prescient_5bus, + daily_da_price_means, + daily_rt_price_means, + daily_da_price_stds, + daily_rt_price_stds, +) + +from idaes.apps.grid_integration import Tracker +from idaes.apps.grid_integration import Bidder +from idaes.apps.grid_integration import PlaceHolderForecaster +from idaes.apps.grid_integration import DoubleLoopCoordinator + +from multiperiod_double_loop_usc import MultiPeriodUsc +from idaes.apps.grid_integration.model_data import GeneratorModelData +from idaes.apps.grid_integration.model_data import ( + GeneratorModelData as _UpstreamGeneratorModelData, + RealValueValidator, + AtLeastPminValidator +) +import os.path + +# with open("usc_gen_data.pkl", "rb") as f: +# gen_data = pickle.load(f) + +generator_data = { + "gen_name": "102_STEAM_3", + "bus": "Carter", + "p_min": 286, + "p_max": 460, +} +model_data = GeneratorModelData(**generator_data) + +# default_bid_curve = gen_data["Original Marginal Cost Curve"] +# pmin = gen_data["PMin MW"] +# pmax = gen_data["PMax MW"] +# gen_name = gen_data["generator_name"] +# raise Exception() +tracking_horizon = 12 # hours +bidding_horizon = 48 # hours +day_ahead_horizon = 48 # hours +real_time_horizon = 4 # hours +n_scenario = 2 # for bidding +n_tracking_hour = 1 # advance n_tracking_hour (i.e. assume we solve every hour) + +# create forecasterprice_forecasts_df = pd.read_csv(os.path.join(this_file_dir(), "C:\\grid\\source_code\\idaes-pse\\idaes\\apps\\grid_integration\\examples\\lmp_forecasts_concat.csv")) +forecaster = PlaceHolderForecaster( + daily_da_price_means=daily_da_price_means, + daily_rt_price_means=daily_rt_price_means, + daily_da_price_stds=daily_da_price_stds, + daily_rt_price_stds=daily_rt_price_stds, +) +# create solver +solver = pyo.SolverFactory("ipopt") +solver.options = { + "max_iter": 200, +} + + +# Setup trackers, bidder, and coordinator +################################################################################# +# Tracker +mp_usc_tracker = MultiPeriodUsc( + model_data=model_data +) + +thermal_tracker = Tracker( + tracking_model_object=mp_usc_tracker, + tracking_horizon=tracking_horizon, + n_tracking_hour=n_tracking_hour, + solver=solver, +) + +# Projection Tracker +mp_usc_projection_tracker = MultiPeriodUsc( + model_data=model_data +) + +thermal_projection_tracker = Tracker( + tracking_model_object=mp_usc_projection_tracker, + tracking_horizon=tracking_horizon, + n_tracking_hour=n_tracking_hour, + solver=solver, +) + +# Bidder +mp_usc_bidder = MultiPeriodUsc( + model_data=model_data +) +thermal_bidder = Bidder( + bidding_model_object=mp_usc_bidder, + day_ahead_horizon=day_ahead_horizon, + real_time_horizon=real_time_horizon, + n_scenario=n_scenario, + solver=solver, + forecaster=forecaster, +) + +# Coordinator +coordinator = DoubleLoopCoordinator( + bidder=thermal_bidder, + tracker=thermal_tracker, + projection_tracker=thermal_projection_tracker, +) + +## Prescient requires the following functions in this module +get_configuration = coordinator.get_configuration +register_plugins = coordinator.register_plugins diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_double_loop_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_double_loop_usc.py new file mode 100644 index 000000000..d0941cffc --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_double_loop_usc.py @@ -0,0 +1,197 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +""" +This script uses the multiperiod object for the integrated fossil case study +to set up and run the double-loop framework. +""" + +__author__ = "Naresh Susarla" + +import os +from types import ModuleType +import pandas as pd +from importlib import resources +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.ticker import MultipleLocator, FormatStrFormatter, AutoMinorLocator +try: + from importlib import resources # Python 3.8+ +except ImportError: + import importlib_resources as resources # Python 3.7 + +# Import Pyomo packages +import pyomo.environ as pyo + +# Import IDAES packages +from idaes.apps.grid_integration import Tracker +from idaes.apps.grid_integration import Bidder +from idaes.apps.grid_integration import PlaceHolderForecaster +from idaes.apps.grid_integration import DoubleLoopCoordinator +# from idaes.apps.grid_integration.model_data import GeneratorModelData +from idaes.apps.grid_integration.model_data import ( + GeneratorModelData as _UpstreamGeneratorModelData, + RealValueValidator, + AtLeastPminValidator +) +from idaes.apps.grid_integration.examples.utils import ( + rts_gmlc_generator_dataframe, + rts_gmlc_bus_dataframe, + prescient_5bus, + daily_da_price_means, + daily_rt_price_means, + daily_da_price_stds, + daily_rt_price_stds, +) + +# Import Prescient simulator +from prescient.simulator import Prescient + +# Import integrated ultra-supercritical power plant with energy storage model +from dispatches_sample_data import rts_gmlc +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage import multiperiod_integrated_storage_usc +from dispatches.case_studies.fossil_case.ultra_supercritical_plant.storage.multiperiod_double_loop_usc import MultiPeriodUsc + +class GeneratorModelData(_UpstreamGeneratorModelData): + p_min_agc = RealValueValidator(min_val=0) + p_max_agc = AtLeastPminValidator() + + def __init__(self, **kwargs): + super().__init__(**kwargs) + self.p_min_agc = self.p_min + self.p_max_agc = self.p_max + +generator_data = { + "gen_name": "102_STEAM_3", + "bus": "Carter", + "p_min": 286, + "p_max": 460, +} +model_data = GeneratorModelData(**generator_data) + +tracking_horizon = 4 # hours +bidding_horizon = 48 # hours +day_ahead_horizon = 48 # hours +real_time_horizon = 4 # hours +n_scenario = 2 # for bidding +n_tracking_hour = 1 # advance n_tracking_hour (i.e. assume we solve every hour) +num_days = 2 + +forecaster = PlaceHolderForecaster( + daily_da_price_means=daily_da_price_means, + daily_rt_price_means=daily_rt_price_means, + daily_da_price_stds=daily_da_price_stds, + daily_rt_price_stds=daily_rt_price_stds, +) + +# create solver +solver = pyo.SolverFactory("ipopt") +solver.options = { + "max_iter": 200, +} + + +# Setup trackers, bidder, and coordinator +################################################################################# +# Tracker +mp_usc_tracker = MultiPeriodUsc( + model_data=model_data +) + +thermal_tracker = Tracker( + tracking_model_object=mp_usc_tracker, + tracking_horizon=tracking_horizon, + n_tracking_hour=n_tracking_hour, + solver=solver, +) + +# Projection Tracker +mp_usc_projection_tracker = MultiPeriodUsc( + model_data=model_data +) + +thermal_projection_tracker = Tracker( + tracking_model_object=mp_usc_projection_tracker, + tracking_horizon=tracking_horizon, + n_tracking_hour=n_tracking_hour, + solver=solver, +) + +# Bidder +mp_usc_bidder = MultiPeriodUsc( + model_data=model_data +) +thermal_bidder = Bidder( + bidding_model_object=mp_usc_bidder, + day_ahead_horizon=day_ahead_horizon, + real_time_horizon=real_time_horizon, + n_scenario=n_scenario, + solver=solver, + forecaster=forecaster, +) + +# Coordinator +coordinator = DoubleLoopCoordinator( + bidder=thermal_bidder, + tracker=thermal_tracker, + projection_tracker=thermal_projection_tracker, +) + + +class PrescientPluginModule(ModuleType): + def __init__(self, get_configuration, register_plugins): + self.get_configuration = get_configuration + self.register_plugins = register_plugins + + +plugin_module = PrescientPluginModule( + get_configuration=coordinator.get_configuration, + register_plugins=coordinator.register_plugins, +) + + +# If installing the dispatches-sample-data +rts_gmlc_data_dir = str(rts_gmlc.source_data_path) +# rts_gmlc_data_dir = "C:\\grid\\source_code\\Prescient\\downloads\\rts_gmlc\\RTS-GMLC\\RTS_Data\\SourceData" + +options = { + "data_path": rts_gmlc_data_dir, + "input_format": "rts-gmlc", + "simulate_out_of_sample": True, + "run_sced_with_persistent_forecast_errors": True, + "output_directory": "bidding_multiperiod_usc", + "start_date": "2020-07-10", + "num_days": num_days, + "sced_horizon": tracking_horizon, + "ruc_horizon": bidding_horizon, + "compute_market_settlements": True, + "day_ahead_pricing": "LMP", + "ruc_mipgap": 0.05, + "symbolic_solver_labels": True, + "reserve_factor": 0.0, + "deterministic_ruc_solver": "gurobi", + "output_ruc_solutions": True, + "sced_solver": "gurobi", + "print_sced": True, + "enforce_sced_shutdown_ramprate": True, + "plugin": { + "doubleloop": { + "module": plugin_module, + "bidding_generator": "102_STEAM_3", + } + }, +} + +Prescient().simulate(**options) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_prescient_double_loop_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_prescient_double_loop_usc.py new file mode 100644 index 000000000..814c7a1ea --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/run_prescient_double_loop_usc.py @@ -0,0 +1,105 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +from prescient.simulator import Prescient + +#point to rts_gmlc scenario data +print(" ") +print("------Start Prescient Simulation-------") +print(" ") +# raise Exception() +# rts_gmlc_data_dir = "C:\\grid\\source_code\\Prescient\\downloads\\rts_gmlc\\deterministic_with_network_scenarios" +rts_gmlc_data_dir = "C:\\grid\\source_code\\Prescient\\downloads\\rts_gmlc\\RTS-GMLC\\RTS_Data\\SourceData" + +options = { + "data_path": rts_gmlc_data_dir, + "input_format": "rts-gmlc", + "simulate_out_of_sample": True, + "run_sced_with_persistent_forecast_errors": True, + "output_directory": "bidding_plugin_test_multiperiod_rankine", + "start_date": "2020-07-10", + "num_days": 1, + "sced_horizon": 12, + "ruc_horizon": 48, + "compute_market_settlements": True, + "day_ahead_pricing": "LMP", + "ruc_mipgap": 0.01, + "symbolic_solver_labels": True, + "reserve_factor": 0.0, + "deterministic_ruc_solver": "gurobi", + "output_ruc_solutions": True, + "sced_solver": "gurobi", + "print_sced": True, + # "output_sced_loads": True, + "enforce_sced_shutdown_ramprate": True, + "plugin": { + "doubleloop": { + "module": "plugin_double_loop_usc.py", + "bidding_generator": "102_STEAM_3", + } + }, +} + +Prescient().simulate(**options) + +# # plot every bid curve over 96 hours +# from mpl_toolkits.mplot3d import Axes3D +# from matplotlib import cm +# costs = bid_profiles_sorted.iloc[:,0:6].to_numpy() +# powers = bid_profiles_sorted.iloc[:,6:-1].to_numpy() +# costs = np.array([costs[i][~np.isnan(costs[i])] for i in range(len(costs))]) +# powers = np.array([powers[i][~np.isnan(powers[i])] for i in range(len(powers))]) +# times = list(range(len(costs))) + +# plt.figure(figsize = (8,8)) +# t = np.arange(len(times)) +# ax = plt.subplot(projection='3d') +# for t in times: +# costs_plt = costs[t] +# powers_plt = powers[t] +# ax.plot(np.ones(len(costs_plt))*t, powers_plt,costs_plt,color="black") +# ax.set_xlabel("Hour") +# ax.set_ylabel("\nPower [MW]") +# ax.set_zlabel("\n Cost [$/MWh]",linespacing=3.0) +# plt.tight_layout() + + + +# rts_gmlc_data_dir = "/home/xgao1/DowlingLab/RTS-GMLC/RTS_Data/SourceData" +# options = { +# ​​​​​​"data_path": rts_gmlc_data_dir, +# "input_format":"rts-gmlc", +# "simulate_out_of_sample": True, +# "run_sced_with_persistent_forecast_errors": True, +# "output_directory": "bidding_plugin_test_multiperiod_rankine", +# "start_date": "01-02-2020", +# "num_days": 1, +# "sced_horizon": 4, +# "ruc_horizon": 48, +# "compute_market_settlements": True, +# "day_ahead_pricing": "LMP", +#     "ruc_mipgap": 0.05, +# "symbolic_solver_labels": True, +# "reserve_factor": 0.0, +# "deterministic_ruc_solver": "gurobi", +# "sced_solver": "gurobi", +# "plugin": {​​​​​​ +# "doubleloop": {​​​​​​ +# "module": "plugin_wind_battery_doubleloop.py", +# "bidding_generator": "309_WIND_1", +# }​​​​​​ +# }​​​​​​, +# }​​​​​​ + diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/usc_gen_data.pkl b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/usc_gen_data.pkl new file mode 100644 index 000000000..ffd052b24 Binary files /dev/null and b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/double_loop/usc_gen_data.pkl differ diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/CO2_capture.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/CO2_capture.py new file mode 100644 index 000000000..eeed3d2fd --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/CO2_capture.py @@ -0,0 +1,506 @@ +############################################################################## +# Institute for the Design of Advanced Energy Systems Process Systems +# Engineering Framework (IDAES PSE Framework) Copyright (c) 2018-2020, by the +# software owners: The Regents of the University of California, through +# Lawrence Berkeley National Laboratory, National Technology & Engineering +# Solutions of Sandia, LLC, Carnegie Mellon University, West Virginia +# University Research Corporation, et al. All rights reserved. +# +# Please see the files COPYRIGHT.txt and LICENSE.txt for full copyright and +# license information, respectively. Both files are also available online +# at the URL "https://github.com/IDAES/idaes-pse". +############################################################################## +""" +IDAES carbon capture system block, hybrid mass balances and surrogate models + +The unit has 1 inlet stream for fluegas: inlet +The unit has 2 outlet streams: pureCO2 and exhaust_gas + +The state variables are component flow mol, temperature, and pressure. +The state variables can be accessed thotough ports named: + +* inlet - flue gas from NGCC plant +* pure_CO2 - stream for compression train +* exhaust_gas - exhaust gas to DAC system or stack + +Surrogate models are used to compute solvent flow rate and specific reboiler duty. +The inlet variables to estimate such output variables are: lean loading and PZ molality. + +Inlet Vars: + +* flue gas (component molar flowrate [H20, CO2, O2, N2], temperature, pressure) +* solvent lean loading (0.1 to 0.6, mol CO2/mol PZ) +* solvent molality (PZ = 3, 5, 7 mol) + +Output Vars: + +* specific reboiler duty (GJ/t CO2 or MJ/kg CO2) +* lean solvent flowrate in kmol/s (0-100) +* L/G ratio for absorber columns (0 - 12) (only for Surrogate.PZ_ref1_90_capture) +* exhaust_gas (component molar flowrate [H20, CO2, O2, N2], temperature, pressure) +* pureCO2 (component molar flowrate [H20, CO2, O2, N2], temperature, pressure) + +Surrogate models, the team explored different surrogate models. We developed +different models using commercial software for running simulations for 90% CO2 Capture, +95 % CO2 capture, and 97% CO2 Capture. Then, we provide data from a public source (ref 1) +and finally, we develop a simple correction factor to provide data to train data for 5 molal PZAS technology. +The models available are: + +* PZ_90_capture: Conventional plant configuration to capture 90% capture +* PZ_95_capture: Conventional plant configuration to capture 95% capture +* PZ_97_capture: Conventional plant configuration to capture 97% capture +* PZ_90to97_capture: Conventional plant configuration to between 90 to 97% capture (using data obtained for previous surrogates) +* rel_PZAS_5mol_capture: using results for 5 molal PZ_90_capture applied a correction factor for SRD (using FEED studies). +* PZ_ref1_90_capture: Literature review, data obtained for reference 1 (see below). + +Users can select any of these models while constructing the models, see examples --> +idaes/power_generation/flowsheets/ngcc/ngcc_withCCS.py +and/or idaes/power_generation/carbon_capture/piperazine_surrogates/tests/test_co2capture.py + +Reference 1 (public data used to train surrogate models = PZ_ref1_90_capture): +Gaspar J. von Solms N., Thomsen K., Fosbol F. (2016) Multivariable Optimization + of the Piperazine CO2 Post-Combustion Process. Energy Procedia 86(2016)229-238 +""" +# Import IDAES cores +from idaes.core import declare_process_block_class, UnitModelBlockData, useDefault +import idaes.core.util.scaling as iscale +# Additional import for the unit operation +import pyomo.environ as pyo +from pyomo.environ import Var, units as pyunits, Constraint, exp, log +from pyomo.network import Port +import idaes.logger as idaeslog +# import gen_sm as ifit +from pyomo.common.config import ConfigBlock, ConfigValue, In +from enum import Enum +from idaes.power_generation.carbon_capture.piperazine_surrogates import L_G_ratio # surrogate model for L_G_ratio + +__author__ = "M. Zamarripa" +__version__ = "1.0.0" + +class Surrogates(Enum): + PZ_90_capture = 0 + PZ_95_capture = 1 + PZ_97_capture = 2 + PZ_90to97_capture = 3 + rel_PZAS_5mol_capture = 4 + PZ_ref1_90_capture = 5 + MEA = 6 + +class Technology(Enum): + ngcc = 0 # natural gas combined cycle + scpc = 1 # supercritical coal fired power plant + +# ---------------------------------------------------------------------------- +@declare_process_block_class("CO2Capture") +class CO2CaptureData(UnitModelBlockData): + ''' + CO2Capture surrogate model based on total flow of CO2 rich stream flow only + Assumptions: (toDo: update Assumptions) + Fixed composition, temperature, and pressure of feed stream + Fixed CO2 purity in the CO2 product stream + ''' + CONFIG = ConfigBlock() + CONFIG.declare("dynamic", ConfigValue( + domain=In([useDefault, True, False]), + default=useDefault, + description="Dynamic model flag", + doc="""Indicates whether this model will be dynamic or not, + **default** = useDefault. + **Valid values:** { + **useDefault** - get flag from parent (default = False), + **True** - set as a dynamic model, + **False** - set as a steady-state model.}""")) + CONFIG.declare("has_holdup", ConfigValue( + default=False, + domain=In([True, False]), + description="Holdup construction flag", + doc="""Indicates whether holdup terms should be constructed or not. + Must be True if dynamic = True, + **default** - False. + **Valid values:** { + **True** - construct holdup terms, + **False** - do not construct holdup terms}""")) + CONFIG.declare("CO2_capture_rate_surrogates", ConfigValue( + default=Surrogates.PZ_90_capture, + domain=In(Surrogates), + description='surrogate models to be used in SRD eqn', + doc='4 surrogates have been used, 90, 95, 97, and 90to97')) + CONFIG.declare("flue_gas_source", ConfigValue( + default=Technology.ngcc, + domain=In(Technology), + description='surrogate models to be used in SRD eqn', + doc='4 surrogates have been used, 90, 95, 97, and 90to97')) + + + def build(self): + # Call UnitModel.build to setup dynamics + super().build() + + self.component_list = ['CO2', 'H2O', 'O2', 'N2'] + + self.make_vars() + self.add_material_balances() + + # Add ports: 3 (1 for inlet and 2 for outlets) + self.inlet = Port(noruleinit=True, + doc="A port for co2 rich inlet stream") + self.pureCO2 = Port(noruleinit=True, + doc="A port for pure CO2 outlet stream") + self.exhaust_gas = Port(noruleinit=True, + doc="A port for vent gas outlet stream") + + # Add state vars to the ports + # self.inlet.add(self.inlet_flow_mol, "flow_mol") + self.inlet.add(self.inlet_temperature, "temperature") + self.inlet.add(self.inlet_pressure, "pressure") + self.inlet.add(self.inlet_flow_mol_comp, "flow_mol_comp") + + # self.pureco2.add(self.pureco2_flow_mol, "flow_mol") + self.pureCO2.add(self.pureCO2_temperature, "temperature") + self.pureCO2.add(self.pureCO2_pressure, "pressure") + self.pureCO2.add(self.pureCO2_flow_mol_comp, "flow_mol_comp") + + # self.exhaust_gas.add(self.exhaust_gas_flow_mol, "flow_mol") + self.exhaust_gas.add(self.exhaust_gas_temperature, "temperature") + self.exhaust_gas.add(self.exhaust_gas_pressure, "pressure") + self.exhaust_gas.add(self.exhaust_gas_flow_mol_comp, "flow_mol_comp") + + def make_vars(self): + ''' + This section builds port vars (Fc, T, P), CO2 capture rate + + ''' + + # units declaration for vars + flow_units = pyunits.mol/pyunits.s + pressure_units = pyunits.Pa + temperature_units = pyunits.K + heat_duty_units = pyunits.J/pyunits.s + + # Component mole flows [mol/s] + self.inlet_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=1400/len(self.component_list), + units=flow_units, + doc='Inlet stream: Component mole flow [mol/s]') + + self.pureCO2_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=1200/len(self.component_list), + units=flow_units, + doc='PureCO2 stream: Component mole flow [mol/s]') + + self.exhaust_gas_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=100/len(self.component_list), + units=flow_units, + doc='exhaust_gas stream: Component mole flow [mol/s]') + + # Temperature [K] + self.inlet_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='Inlet temperature [K]') + + self.pureCO2_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='PureCO2 temperature [K]') + + self.exhaust_gas_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='exhaust_gas temperature [K]') + + # Pressue [Pa] + self.inlet_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='Inlet pressure [Pa]') + + self.pureCO2_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='PureCO2 pressure [Pa]') + + self.exhaust_gas_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='exhaust_gas pressure [Pa]') + # CO2 Capture rate + self.CO2_capture_rate = Var(self.flowsheet().config.time, + initialize=0.9, + doc='CO2 capture rate') + # lean loading + self.lean_loading = Var(self.flowsheet().config.time, + initialize=0.1, + bounds=(0.1, 6.0), + doc='lean loading') + # Pz molality + self.Pz_mol = Var(self.flowsheet().config.time, + # domain=pyo.Integers, + initialize=3, + bounds=(3, 7), + doc='Pz molality') + + self.SRD = Var(self.flowsheet().config.time, + initialize=8, + bounds=(0, 100), + doc='Specific reboiler duty GJ/ton CO2 or MJ/kg CO2') + + def add_material_balances(self): + ''' This section is for material balance constraints''' + + # pureCO2 mass balance + @self.Constraint(self.flowsheet().config.time, + self.component_list, + doc="pureCO2 mass balances") + def pureCO2_eqn(b, t, c): + if c == "CO2": + return b.pureCO2_flow_mol_comp[t, c] == \ + b.inlet_flow_mol_comp[t, c] * b.CO2_capture_rate[t] + else: + return b.pureCO2_flow_mol_comp[t, c] == 0.0 + + # water drop in flue gas + @self.Expression(self.flowsheet().config.time, doc="water drop") + def water_drop(b, t): + return b.inlet_flow_mol_comp[0, 'H2O']*0.5 + + # Overall mass balances + @self.Constraint(self.flowsheet().config.time, + self.component_list, + doc="Inlet component mole flow eqn") + def flow_mol_comp_inlet_eqn(b, t, c): + if c == "H2O": + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] + b.water_drop[t] + elif c == "CO2": + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] \ + + b.pureCO2_flow_mol_comp[t, c] + else: + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] + + # Pressure equations + @self.Constraint(self.flowsheet().config.time, + doc="Pressure drop") + def exh_pressure_eqn(b, t): + return b.inlet_pressure[t] == b.exhaust_gas_pressure[t] + + @self.Constraint(self.flowsheet().config.time, + doc="Pressure drop") + def pureCO2_pressure_eqn(b, t): + return b.inlet_pressure[t] == b.pureCO2_pressure[t] + + # Temperature equations + @self.Constraint(self.flowsheet().config.time, + doc="Temperature") + def pureCO2_temp_eqn(b, t): + return b.inlet_temperature[t] == b.pureCO2_temperature[t] + + @self.Constraint(self.flowsheet().config.time, + doc="Temperature") + def exh_temp_eqn(b, t): + return b.inlet_temperature[t] == b.exhaust_gas_temperature[t] + + + @self.Constraint(self.flowsheet().config.time, + doc="Specific reboiler duty in GJ/t CO2 or MJ/ kg CO2") + def SRD_eqn(b, t): + CO2leanloading = b.lean_loading[t] + molality = b.Pz_mol[t] + Capture = b.CO2_capture_rate[t] + if b.config.flue_gas_source == Technology.ngcc: + if b.config.CO2_capture_rate_surrogates == Surrogates.PZ_90_capture: + return b.SRD[t] == - 3.6233485374100991016633 * log(molality/4.) + 0.33347583941977870791717E-001 * (molality/4.)**3 + 6.8390136776297296705707 * (molality*CO2leanloading/4.)**0.5 - 5.7867174977020807702388 * (molality*CO2leanloading/4.)**2 + 5.1342721429236659602680 * (molality*CO2leanloading/4.)**3 + 0.19963960036749664461730 * (molality/CO2leanloading/4.) + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_95_capture: + return b.SRD[t] == - 2.1195314593911489531308 * log(molality/4.) + 2.3838807672964539285942 * exp(CO2leanloading) + 0.17427301681432125213256 * (molality/4.)**2 + 0.12496410061822192660852 * (molality/CO2leanloading/4.) + 0.93458997890860340262975 * (CO2leanloading/molality/0.25) + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_97_capture: + return b.SRD[t] == - 912.90813190561812007218 * CO2leanloading + 963.87626280230563224904 * exp(CO2leanloading) - 840.95461087585590576055 * (molality/2.)**2 - 614.38277546147764951456 * CO2leanloading**2 + 274.40532024830611135258 * (molality/2.)**3 - 0.61984641382653959951199 * (molality*CO2leanloading/2.)**3 + 0.26430328623580695568407 * (molality/CO2leanloading/2.) - 11.869291574687059309667 * (CO2leanloading/molality/0.5) - 0.23630953358941128236714E-002 * (molality/CO2leanloading/2.)**2 + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_90to97_capture: + return b.SRD[t] == - 0.10526756950236890175709 * Capture + 0.52057178809591142520929 * CO2leanloading + 0.98788205977359255793857 * molality + 2.0990364304677582296677 * Capture**0.5 + 3.5938248110847506033849 * CO2leanloading**0.5 - 6.3111812164050720141972 * molality**0.5 + 2.4029805693688151002618 * CO2leanloading**3 - 0.10937466124959506139080E-001 * Capture/molality - 41.496993880686794398116 * CO2leanloading/Capture + 0.36946342949766633467767E-001 * molality/CO2leanloading + elif b.config.CO2_capture_rate_surrogates == Surrogates.rel_PZAS_5mol_capture: + return (- 22.312295301354438947783 * CO2leanloading + 117.51384451486856619340 * CO2leanloading**2 - 269.05987870514132964672 * CO2leanloading**3 + 234.98153128275288281657 * CO2leanloading**4 + 3.9380879255782788028739) + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_ref1_90_capture: + return b.SRD[t] == (- 15565.227507172588957474 * CO2leanloading + + 8.9237367058697429911263 * log(CO2leanloading) + + 15285.362653727905126289 * exp(CO2leanloading) + - 6741.0217492965430210461 * CO2leanloading**2 + - 3865.5900513667870654899 * CO2leanloading**3 + + 0.17312045830047528404555E-002 * molality**3 + - 1.2960483459315448317994 * CO2leanloading*molality + - 15235.956076189686427824) + else: + raise Exception('solvent is not supported for this technology') + elif b.config.flue_gas_source == Technology.scpc: + if b.config.CO2_capture_rate_surrogates == Surrogates.MEA: + return b.SRD[t] == 1135585.36238969 * CO2leanloading - 440.509698856962 * log(CO2leanloading) - 1127184.48012032 * exp(CO2leanloading) + 533953.122356288 * CO2leanloading**2 + 248202.546339126 * CO2leanloading**3 + 1125580.12992624 + else: + raise Exception('solvent not supported for this technology') + else: + raise Exception('Flue gas source is not supported') + + @self.Expression(self.flowsheet().config.time, + doc="Reboiler duty in MW") + def reboiler_duty(b, t): # mol/s /1000 = kgmol/s * 44 kg/kgmol = kg / s + return b.SRD[t] * (b.pureCO2_flow_mol_comp[t, "CO2"] + * 44.01 / 1000) + + @self.Expression(self.flowsheet().config.time, + doc="Lean loading flowrate - kmol.hr") + def LL_flowrate(b, t): + CO2leanloading = b.lean_loading[t] + molality = b.Pz_mol[t] + Capture = b.CO2_capture_rate[t] + if b.config.flue_gas_source == Technology.ngcc: + if b.config.CO2_capture_rate_surrogates == Surrogates.PZ_90_capture: + return - 33769665655.708782196045 * CO2leanloading - 85501806.085839942097664 * log(CO2leanloading) + 32051499965.332691192627 * exp(CO2leanloading) + 1399851299.6695346832275 * CO2leanloading**0.5 + 207401.67766238830517977 * (molality/4.)**2 - 13931345844.245344161987 * CO2leanloading**2 - 7882628979.2478094100952 * CO2leanloading**3 - 1216008.0524285589344800 * (molality*CO2leanloading/4.) - 721743.35243441292550415 * (molality/CO2leanloading/4.)**0.5 + 3619336.4956937171518803 * (CO2leanloading/molality/0.25) - 32534484771.443439483643 + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_95_capture: + return - 8128346023.5960435867310 * CO2leanloading + 8097036304.4302654266357 * exp(CO2leanloading) + 143943.79958957055350766 * (molality/4.)**2 - 3906104299.9280681610107 * CO2leanloading**2 - 1694548695.5476403236389 * CO2leanloading**3 - 326827.12907762406393886 * (molality*CO2leanloading/4.)**2 + 14089575.472042093053460 * (CO2leanloading/molality/0.25) - 4257.3482804741406653193 * (molality/CO2leanloading/4.)**2 - 22772347.982399865984917 * (CO2leanloading/molality/0.25)**2 + 131.22409336241202026940 * (molality/CO2leanloading/4.)**3 + 22174561.087608262896538 * (CO2leanloading/molality/0.25)**3 - 8094525387.7033281326294 + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_97_capture: + return - 11073017307.372232437134 * CO2leanloading + 868882.20868137793149799 * log(CO2leanloading) - 73653243483.647430419922 * exp(molality/2.) + 11052450134.832271575928 * exp(CO2leanloading) + 141797181109.30328369141 * (molality/2.)**2 - 5395322021.3101339340210 * CO2leanloading**2 - 920354.31067807460203767 * (molality*CO2leanloading/2.) - 117144381.90464735031128 * (molality*CO2leanloading/2.)**3 - 6153045658.4519367218018 * (CO2leanloading/molality/0.5)**3 + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_90to97_capture: + return 21493.893918343124823878 * Capture - 18837259.090658042579889 * CO2leanloading - 303798.35064064717153087 * molality - 547220.78199295536614954 * Capture**0.5 + 7997911.0828296802937984 * CO2leanloading**0.5 + 1594229.8231671806424856 * molality**0.5 + 16593654.797202151268721 * CO2leanloading**2 + 58165.759382280644786078 * Capture*CO2leanloading + 60595.207259644026635215 * Capture/molality + 60446137.647265411913395 * (CO2leanloading/molality)**2 + # No data for PZAS, using same as PZ 95 capture + elif b.config.CO2_capture_rate_surrogates == Surrogates.rel_PZAS_5mol_capture: + return - 8128346023.5960435867310 * CO2leanloading + 8097036304.4302654266357 * exp(CO2leanloading) + 143943.79958957055350766 * (molality/4.)**2 - 3906104299.9280681610107 * CO2leanloading**2 - 1694548695.5476403236389 * CO2leanloading**3 - 326827.12907762406393886 * (molality*CO2leanloading/4.)**2 + 14089575.472042093053460 * (CO2leanloading/molality/0.25) - 4257.3482804741406653193 * (molality/CO2leanloading/4.)**2 - 22772347.982399865984917 * (CO2leanloading/molality/0.25)**2 + 131.22409336241202026940 * (molality/CO2leanloading/4.)**3 + 22174561.087608262896538 * (CO2leanloading/molality/0.25)**3 - 8094525387.7033281326294 + elif b.config.CO2_capture_rate_surrogates == Surrogates.PZ_ref1_90_capture: + A2 = b.lean_loading[t] + B2 = b.Pz_mol[t] + return (291019.778242091 * A2 - 4.98043194086976 * B2 - 287661.899241911 * exp(A2) + 130101.667827899 * A2**2 + 71279.9986297754 * A2**3 + 0.0148339624265494 * (B2/A2)**2 + 287396.698159522) + else: + raise Exception('CO2 surrogate model is not supported') + elif b.config.flue_gas_source == Technology.scpc: + if b.config.CO2_capture_rate_surrogates == Surrogates.MEA: + return 1 # No data available for solvent flowrate + else: + raise Exception('solvent not supported for this technology') + else: + raise Exception('Flue gas source is not supported') + + if self.config.CO2_capture_rate_surrogates == Surrogates.PZ_ref1_90_capture: + # This surrogate model is only valid for reference 1 + @self.Expression(self.flowsheet().config.time, + doc="L/G ratio") + def L_Gratio(b, t): + x1 = b.lean_loading[t] + x2 = b.Pz_mol[t] + return L_G_ratio.f(b.lean_loading[t], b.Pz_mol[t]) + + @self.Expression(self.flowsheet().config.time, + doc="lean loading cost $/year") + def solvent_cost(b, t): + basis = 1 # 1 kg H2O basis for estimating mol fractions + PZ_MW = 86.1356 + H2O_MW = 18.0153 # kg/kgmol + mol_H2O = basis / H2O_MW * 1000 # mol fraction + mol_CO2 = b.lean_loading[t] * b.Pz_mol[t] + PZ_mol_frac = b.Pz_mol[t]/(b.Pz_mol[t] + mol_H2O + mol_CO2) + H2O_mol_frac = mol_H2O / (b.Pz_mol[t] + mol_H2O + mol_CO2) + CO2_mol_frac = mol_CO2 / (b.Pz_mol[t] + mol_H2O + mol_CO2) + PZ_cost = 9 * PZ_MW # PZ $9/kg - converting to $/kmol + PZ_makeup = 0.02 # 2 % of total flowrate + return b.LL_flowrate[t] * PZ_makeup * PZ_mol_frac * 24 * 365 * PZ_cost + + def initialize(blk, + outlvl=idaeslog.NOTSET, + solver='ipopt', + optarg={'tol': 1e-6}): + ''' + CO2 pure pyomo block initialization routine + + Keyword Arguments: + outlvl : sets output level of initialisation routine + + optarg : solver options dictionary object (default={'tol': 1e-6}) + solver : str indicating whcih solver to use during + initialization (default = 'ipopt') + + Returns: + None + ''' + iscale.calculate_scaling_factors(blk) # remove to solve using baron + init_log = idaeslog.getInitLogger(blk.name, outlvl, tag="unit") + solve_log = idaeslog.getSolveLogger(blk.name, outlvl, tag="unit") + opt = pyo.SolverFactory(solver) + opt.options = optarg + + init_log.info_low("Starting initialization...") + + blk.inlet.flow_mol_comp[0, 'CO2'].fix() + blk.inlet.flow_mol_comp[0, 'O2'].fix() + blk.inlet.flow_mol_comp[0, 'H2O'].fix() + blk.inlet.flow_mol_comp[0, 'N2'].fix() + blk.CO2_capture_rate.fix() + + # solve model + with idaeslog.solver_log(solve_log, idaeslog.DEBUG) as slc: + res = opt.solve(blk, tee=slc.tee) + init_log.info_high( + "Initialization Step 1 {}.".format(idaeslog.condition(res)) + ) + init_log.info_high("Initialization Step 1 Complete.") + + # ToDo: release state + init_log.info("Initialization Complete.") + + def calculate_scaling_factors(self): + super().calculate_scaling_factors() + + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'CO2'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'H2O'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'O2'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'N2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'CO2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'H2O'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'O2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'N2'], 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'CO2'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'H2O'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'O2'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'N2'], + 1e-3) + iscale.set_scaling_factor(self.inlet_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.pureCO2_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.exhaust_gas_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.inlet_pressure[0.0], 1e-5) + iscale.set_scaling_factor(self.pureCO2_pressure[0.0], 1e-5) + iscale.set_scaling_factor(self.exhaust_gas_pressure[0.0], 1e-5) + + for t, c in self.exh_pressure_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_pressure[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_pressure_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_pressure[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_temp_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_temperature[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.exh_temp_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_temperature[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.flow_mol_comp_inlet_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_flow_mol_comp[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_flow_mol_comp[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/co2_capture_system.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/co2_capture_system.py new file mode 100644 index 000000000..a7ce59e9a --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/co2_capture_system.py @@ -0,0 +1,384 @@ +############################################################################### +# Institute for the Design of Advanced Energy Systems Process Systems +# Engineering Framework (IDAES PSE Framework) Copyright (c) 2018-2020, by the +# software owners: The Regents of the University of California, through +# Lawrence Berkeley National Laboratory, National Technology & Engineering +# Solutions of Sandia, LLC, Carnegie Mellon University, West Virginia +# University Research Corporation, et al. All rights reserved. +# +# Please see the files COPYRIGHT.txt and LICENSE.txt for full copyright and +# license information, respectively. Both files are also available online +# at the URL "https://github.com/IDAES/idaes-pse". +############################################################################### +""" +IDAES carbon capture system block, hybrid mass balances and surrogate models + +The unit has 1 inlet stream for rich CO2 inlet: inlet +the unit has 2 outlet streams: pureCO2 and exhaust_gas + +The state variables are component flow mol, temperature, and pressure. +The state variables can be accessed thotough ports named: + inlet - flue gas from NGCC plant + pure_CO2 - stream for compression train + exhaust_gas - exhaust gas to DAC system or stack + +Surrogate models are used to compute operating costs as a function of solvent +flow rate, and specific reboiler duty. The inlet variables to estimate such +output variables are: lean loading and PZ molality. +Inlet Vars: + +* solvent lean loading (0.1 to 0.6) +* solvent molality (PZ = 3, 5, 7 mol) + +Output Vars: + +* L/G ratio for absorber columns (0 - 12) +* lean solvent flowrate in kmol/s (0-100) +* specific reboiler duty (GJ/t CO2) + +Reference: +Gaspar J. von Solms N., Thomsen K., Fosbol F. (2016) Multivariable Optimization + of the Piperazine CO2 Post-Combustion Process. Energy Procedia 86(2016)229-238 +""" +# Import IDAES cores +from idaes.core import declare_process_block_class, UnitModelBlockData +import idaes.core.util.scaling as iscale +# Additional import for the unit operation +import pyomo.environ as pyo +from pyomo.environ import Var, units as pyunits, exp, log +from pyomo.network import Port +import idaes.logger as idaeslog + +__author__ = "M. Zamarripa" +__version__ = "1.0.0" + + +# ---------------------------------------------------------------------------- +@declare_process_block_class("CO2Capture") +class CO2CaptureData(UnitModelBlockData): + ''' + CO2Capture surrogate model based on total flow of CO2 rich stream flow only + Assumptions: (toDo: update Assumptions) + Fixed composition, temperature, and pressure of feed stream + Fixed CO2 purity in the CO2 product stream + + ''' + + def build(self): + + self.component_list = ['CO2', 'H2O', 'O2', 'N2', 'Ar'] + + self.make_vars() + self.add_material_balances() + # self.add_surrogates() + # self.add_costing() + + # Add ports: 3 (1 for inlet and 2 for outlets) + self.inlet = Port(noruleinit=True, + doc="A port for co2 rich inlet stream") + self.pureCO2 = Port(noruleinit=True, + doc="A port for pure CO2 outlet stream") + self.exhaust_gas = Port(noruleinit=True, + doc="A port for vent gas outlet stream") + + # Add state vars to the ports + # self.inlet.add(self.inlet_flow_mol, "flow_mol") + self.inlet.add(self.inlet_temperature, "temperature") + self.inlet.add(self.inlet_pressure, "pressure") + self.inlet.add(self.inlet_flow_mol_comp, "flow_mol_comp") + + # self.pureco2.add(self.pureco2_flow_mol, "flow_mol") + self.pureCO2.add(self.pureCO2_temperature, "temperature") + self.pureCO2.add(self.pureCO2_pressure, "pressure") + self.pureCO2.add(self.pureCO2_flow_mol_comp, "flow_mol_comp") + + # self.exhaust_gas.add(self.exhaust_gas_flow_mol, "flow_mol") + self.exhaust_gas.add(self.exhaust_gas_temperature, "temperature") + self.exhaust_gas.add(self.exhaust_gas_pressure, "pressure") + self.exhaust_gas.add(self.exhaust_gas_flow_mol_comp, "flow_mol_comp") + + def make_vars(self): + ''' + This section builds port vars (Fc, T, P), CO2 capture rate + + ''' + # units declaration for vars + flow_units = pyunits.mol/pyunits.s + pressure_units = pyunits.Pa + temperature_units = pyunits.K + # heat_duty_units = pyunits.J/pyunits.s + + # Component mole flows [mol/s] + self.inlet_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=1400/len(self.component_list), + units=flow_units, + doc='Inlet stream: Component mole flow [mol/s]') + + self.pureCO2_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=1200/len(self.component_list), + units=flow_units, + doc='PureCO2 stream: Component mole flow [mol/s]') + + self.exhaust_gas_flow_mol_comp = Var( + self.flowsheet().config.time, + self.component_list, + initialize=100/len(self.component_list), + units=flow_units, + doc='exhaust_gas stream: Component mole flow [mol/s]') + + # Temperature [K] + self.inlet_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='Inlet temperature [K]') + + self.pureCO2_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='PureCO2 temperature [K]') + + self.exhaust_gas_temperature = Var(self.flowsheet().config.time, + initialize=110, + units=temperature_units, + doc='exhaust_gas temperature [K]') + + # Pressue [Pa] + self.inlet_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='Inlet pressure [Pa]') + + self.pureCO2_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='PureCO2 pressure [Pa]') + + self.exhaust_gas_pressure = Var(self.flowsheet().config.time, + initialize=17, + units=pressure_units, + doc='exhaust_gas pressure [Pa]') + # CO2 Capture rate + self.CO2_capture_rate = Var(self.flowsheet().config.time, + initialize=0.9, + doc='CO2 capture rate') + # lean loading + self.lean_loading = Var(self.flowsheet().config.time, + initialize=0.1, + bounds=(0.1, 6.0), + doc='lean loading') + # Pz molality + self.Pz_mol = Var(self.flowsheet().config.time, + initialize=3, + bounds=(3, 7), + doc='Pz molality') + + self.SRD = Var(self.flowsheet().config.time, + initialize=8, + bounds=(0, 100), + doc='Specific reformer duty GJ/ton CO2') + + def add_material_balances(self): + ''' This section is for material balance constraints''' + + # pureCO2 mass balance + @self.Constraint(self.flowsheet().config.time, + self.component_list, + doc="pureCO2 mass balances") + def pureCO2_eqn(b, t, c): + if c == "CO2": + return b.pureCO2_flow_mol_comp[t, "CO2"] == \ + b.inlet_flow_mol_comp[t, "CO2"] * b.CO2_capture_rate[t] + else: + return b.pureCO2_flow_mol_comp[t, c] == 0.0 + + # water drop in flue gas + @self.Expression(self.flowsheet().config.time, doc="water drop") + def water_drop(b, t): + return b.inlet_flow_mol_comp[0, 'H2O']*0.5 + + # Overall mass balances + @self.Constraint(self.flowsheet().config.time, + self.component_list, + doc="Inlet component mole flow eqn") + def flow_mol_comp_inlet_eqn(b, t, c): + if c == "H2O": + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] + b.water_drop[t] + elif c == "CO2": + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] \ + + b.pureCO2_flow_mol_comp[t, "CO2"] + else: + return b.inlet_flow_mol_comp[t, c] == \ + b.exhaust_gas_flow_mol_comp[t, c] + + # Pressure equations + @self.Constraint(self.flowsheet().config.time, + doc="Pressure drop") + def exh_pressure_eqn(b, t): + return b.inlet_pressure[t] == b.exhaust_gas_pressure[t] + + @self.Constraint(self.flowsheet().config.time, + doc="Pressure drop") + def pureCO2_pressure_eqn(b, t): + return b.inlet_pressure[t] == b.pureCO2_pressure[t] + + # Temperature equations + @self.Constraint(self.flowsheet().config.time, + doc="Temperature") + def pureCO2_temp_eqn(b, t): + return b.inlet_temperature[t] == b.pureCO2_temperature[t] + + @self.Constraint(self.flowsheet().config.time, + doc="Temperature") + def exh_temp_eqn(b, t): + return b.inlet_temperature[t] == b.exhaust_gas_temperature[t] + + # surrogates and additional constraints/expressions + ''' This section is to add the surrogate models''' + + @self.Constraint(self.flowsheet().config.time, + doc="Specific reboiler duty in GJ/t CO2 or MJ/kg CO2") + def SRD_eqn(b, t): + x1 = b.lean_loading[t] + x2 = b.Pz_mol[t] + # return b.SRD[t] == (1135585.36238969 * x1 + # - 440.509698856962 * log(x1) + # - 1127184.48012032 * exp(x1) + # + 533953.122356288 * x1**2 + # + 248202.546339126 * x1**3 + # + 1125580.12992624) + return b.SRD[t] == (- 15565.227507172588957474 * x1 + + 8.9237367058697429911263 * log(x1) + + 15285.362653727905126289 * exp(x1) + - 6741.0217492965430210461 * x1**2 + - 3865.5900513667870654899 * x1**3 + + 0.17312045830047528404555E-002 * x2**3 + - 1.2960483459315448317994 * x1*x2 + - 15235.956076189686427824) + + @self.Expression(self.flowsheet().config.time, + doc="Reboiler duty in MW") + def reboiler_duty(b, t): # mol/s/1000 = kgmol/s * 44 kg/kgmol = kg/s + return b.SRD[t] * (b.pureCO2_flow_mol_comp[t, "CO2"] + * 44.01 / 1000) + + @self.Expression(self.flowsheet().config.time, + doc="Lean loading flowrate - kmol.hr") + def LL_flowrate(b, t): + x1 = b.lean_loading[t] + x2 = b.Pz_mol[t] + return (- 4402167.2503122268244624 * x1 + - 4.4210697568168892956919 * x2 + + 42394.191672889020992443 * log(x1) + + 4021949.9049337119795382 * exp(x1) + - 1394566.6646474981680512 * x1**2 + - 1225122.9083037786185741 * x1**3 + - 3898754.8073137737810612) + + def initialize(blk, + outlvl=idaeslog.NOTSET, + solver='ipopt', + optarg={'tol': 1e-6}): + ''' + CO2 pure pyomo block initialization routine + + Keyword Arguments: + outlvl : sets output level of initialisation routine + + optarg : solver options dictionary object (default={'tol': 1e-6}) + solver : str indicating whcih solver to use during + initialization (default = 'ipopt') + + Returns: + None + ''' + iscale.calculate_scaling_factors(blk) # remove to solve using baron + init_log = idaeslog.getInitLogger(blk.name, outlvl, tag="unit") + solve_log = idaeslog.getSolveLogger(blk.name, outlvl, tag="unit") + opt = pyo.SolverFactory(solver) + opt.options = optarg + + init_log.info_low("Starting initialization...") + + blk.inlet.flow_mol_comp[0, 'CO2'].fix() + blk.inlet.flow_mol_comp[0, 'O2'].fix() + blk.inlet.flow_mol_comp[0, 'Ar'].fix() + blk.inlet.flow_mol_comp[0, 'H2O'].fix() + blk.inlet.flow_mol_comp[0, 'N2'].fix() + blk.CO2_capture_rate.fix() + + # solve model + with idaeslog.solver_log(solve_log, idaeslog.DEBUG) as slc: + res = opt.solve(blk, tee=slc.tee) + init_log.info_high( + "Initialization Step 1 {}.".format(idaeslog.condition(res)) + ) + init_log.info_high("Initialization Step 1 Complete.") + + # ToDo: release state + init_log.info("Initialization Complete.") + + def calculate_scaling_factors(self): + super().calculate_scaling_factors() + + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'CO2'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'H2O'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'O2'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'N2'], 1e-3) + iscale.set_scaling_factor(self.inlet_flow_mol_comp[0.0, 'Ar'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'CO2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'H2O'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'O2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'N2'], 1e-3) + iscale.set_scaling_factor(self.pureCO2_flow_mol_comp[0.0, 'Ar'], 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'CO2'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'H2O'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'O2'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'N2'], + 1e-3) + iscale.set_scaling_factor(self.exhaust_gas_flow_mol_comp[0.0, 'Ar'], + 1e-3) + iscale.set_scaling_factor(self.inlet_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.pureCO2_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.exhaust_gas_temperature[0.0], 1e-2) + iscale.set_scaling_factor(self.inlet_pressure[0.0], 1e-5) + iscale.set_scaling_factor(self.pureCO2_pressure[0.0], 1e-5) + iscale.set_scaling_factor(self.exhaust_gas_pressure[0.0], 1e-5) + + for t, c in self.exh_pressure_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_pressure[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_pressure_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_pressure[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_temp_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_temperature[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.exh_temp_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_temperature[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.flow_mol_comp_inlet_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_flow_mol_comp[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) + + for t, c in self.pureCO2_eqn.items(): + sf = iscale.get_scaling_factor( + self.inlet_flow_mol_comp[t], default=1, warning=True) + iscale.constraint_scaling_transform(c, sf) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/discharge_design_ccs.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/discharge_design_ccs.py new file mode 100644 index 000000000..bf220d365 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/discharge_design_ccs.py @@ -0,0 +1,1917 @@ +################################################################################# +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2022 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +################################################################################# + +"""This is a Generalized Disjunctive Programming model for the +conceptual design of an ultra supercritical coal-fired power plant +integrated with a discharge storage system + +""" + +__author__ = "Naresh Susarla and Soraya Rawlings" + +import logging + +# Import Python libraries +from math import pi +from IPython import embed + +# Import Pyomo libraries +import pyomo.environ as pyo +from pyomo.environ import (Block, Param, Constraint, Objective, + TransformationFactory, SolverFactory, + Expression, value, log, exp, Var) +from pyomo.environ import units as pyunits +from pyomo.network import Arc +from pyomo.util.calc_var_value import calculate_variable_from_constraint +from pyomo.gdp import Disjunct, Disjunction +from pyomo.network.plugins import expand_arcs +from pyomo.contrib.fbbt.fbbt import _prop_bnds_root_to_leaf_map +from pyomo.core.expr.numeric_expr import ExternalFunctionExpression + +# Import IDAES libraries +import idaes.logger as idaeslog +import idaes.core.util.scaling as iscale +from idaes.core.util.initialization import propagate_state +from idaes.core.solvers.get_solver import get_solver +from idaes.core.util.model_statistics import degrees_of_freedom +from idaes.core import UnitModelCostingBlock +from idaes.models.unit_models import HeatExchanger, Heater, MomentumMixingType +from idaes.models.unit_models.heat_exchanger import delta_temperature_underwood_callback +from idaes.models_extra.power_generation.unit_models.helm import (HelmTurbineStage, + HelmSplitter, + HelmMixer) +from idaes.models.costing.SSLW import ( + SSLWCosting, + SSLWCostingData +) +from idaes.core.util.exceptions import ConfigurationError + +# Import ultra supercritical power plant model +from dispatches.case_studies.fossil_case.ultra_supercritical_plant import ( + ultra_supercritical_powerplant as usc) + +# Import properties package for Solar salt +from dispatches.properties import solarsalt_properties +from pyomo.util.infeasible import (log_infeasible_constraints, + log_close_to_bounds) +from IPython import embed +logging.getLogger('pyomo.repn.plugins.nl_writer').setLevel(logging.ERROR) +logging.basicConfig(level=logging.INFO) + + +scaling_obj = 1 + +def create_discharge_model(m, add_efficiency=None, power_max=None): + """Create flowsheet and add unit models. + + """ + + # Create a block to add charge storage model + m.fs.discharge = Block() + + # Add model data + _add_data(m) + + # Add Solar salt properties + m.fs.solar_salt_properties = solarsalt_properties.SolarsaltParameterBlock() + + ########################################################################### + # Add unit models + ########################################################################### + + # Declare splitter to divert condensate to discharge storage heat + # exchanger + m.fs.discharge.es_split = HelmSplitter( + property_package=m.fs.prop_water, + outlet_list=["to_fwh", "to_hxd"], + ) + + # Declare discharge storage heat exchanger + m.fs.discharge.hxd = HeatExchanger( + delta_temperature_callback=delta_temperature_underwood_callback, + hot_side_name="shell", + cold_side_name="tube", + shell={"property_package": m.fs.solar_salt_properties}, + tube={"property_package": m.fs.prop_water}, + ) + + + ########################################################################### + # Add constraints + ########################################################################### + _make_constraints(m, add_efficiency=add_efficiency, power_max=power_max) + + _solar_salt_ohtc_calculation(m) + + ########################################################################### + # Declare disjuncts + ########################################################################### + # Disjunction 1 for the sink of discharge HX consists of 2 disjuncts: + # 1. condpump_source_disjunct ======> condensate from condenser pump + # 2. fwh4_source_disjunct ======> condensate from feed water heater 4 + # 3. booster_source_disjunct ======> condensate from booster pump + # 4. bfp_source_disjunct ======> condensate from boiler feed water pump + # 5. fwh9_source_disjunct ======> condensate from feed water heater 9 + + # Declare disjuncts in disjunction 1 + m.fs.discharge.condpump_source_disjunct = Disjunct( + rule=condpump_source_disjunct_equations) + m.fs.discharge.fwh4_source_disjunct = Disjunct( + rule=fwh4_source_disjunct_equations) + m.fs.discharge.booster_source_disjunct = Disjunct( + rule=booster_source_disjunct_equations) + m.fs.discharge.bfp_source_disjunct = Disjunct( + rule=bfp_source_disjunct_equations) + m.fs.discharge.fwh9_source_disjunct = Disjunct( + rule=fwh9_source_disjunct_equations) + + # Declare disjuncts in disjunction 2 + m.fs.discharge.iplp_source_disjunct = Disjunct( + rule=iplp_source_disjunct_equations) + m.fs.discharge.hxd_source_disjunct = Disjunct( + rule=hxd_source_disjunct_equations) + + ########################################################################### + # Create stream arcs + ########################################################################### + + m.fs.discharge.essplit_to_hxd = Arc( + source=m.fs.discharge.es_split.to_hxd, + destination=m.fs.discharge.hxd.tube_inlet, + doc="Connection from ES splitter to HXD" + ) + TransformationFactory("network.expand_arcs").apply_to(m.fs.discharge) + + return m + + +def _add_data(m): + """Add data to the model + """ + + # Add Chemical Engineering cost index for 2019 + m.CE_index = 607.5 + + # Add operating hours + m.fs.discharge.hours_per_day = pyo.Param( + initialize=6, + doc='Number of hours of charging per day' + ) + + # Define number of years over which the costs are annualized + m.fs.discharge.num_of_years = pyo.Param( + initialize=30, + doc='Number of years for cost annualization') + + # Add data to compute overall heat transfer coefficient for the + # Solar salt storage heat exchanger using the Sieder-Tate + # correlation. Parameters for tube diameter and thickness assumed + # from the data in (2017) He et al., Energy Procedia 105, 980-985 + m.fs.discharge.data_hxd = { + 'tube_inner_dia': 0.032, + 'tube_outer_dia': 0.036, + 'k_steel': 21.5, + 'number_tubes': 20, + 'shell_inner_dia': 1 + } + m.fs.discharge.hxd_tube_inner_dia = pyo.Param( + initialize=m.fs.discharge.data_hxd['tube_inner_dia'], + doc='Tube inner diameter in m') + m.fs.discharge.hxd_tube_outer_dia = pyo.Param( + initialize=m.fs.discharge.data_hxd['tube_outer_dia'], + doc='Tube outer diameter in m') + m.fs.discharge.hxd_k_steel = pyo.Param( + initialize=m.fs.discharge.data_hxd['k_steel'], + doc='Thermal conductivity of steel in W/m.K') + m.fs.discharge.hxd_n_tubes = pyo.Param( + initialize=m.fs.discharge.data_hxd['number_tubes'], + doc='Number of tubes') + m.fs.discharge.hxd_shell_inner_dia = pyo.Param( + initialize=m.fs.discharge.data_hxd['shell_inner_dia'], + doc='Shell inner diameter in m') + + # Calculate sectional area of storage heat exchanger + m.fs.discharge.hxd_tube_cs_area = pyo.Expression( + expr=(pi / 4) * + (m.fs.discharge.hxd_tube_inner_dia**2), + doc="Tube inside cross sectional area in m2") + m.fs.discharge.hxd_tube_out_area = pyo.Expression( + expr=(pi / 4) * + (m.fs.discharge.hxd_tube_outer_dia**2), + doc="Tube cross sectional area including thickness in m2") + m.fs.discharge.hxd_shell_eff_area = pyo.Expression( + expr=( + (pi / 4) * + m.fs.discharge.hxd_shell_inner_dia**2 - + m.fs.discharge.hxd_n_tubes * + m.fs.discharge.hxd_tube_out_area + ), + doc="Effective shell cross sectional area in m2") + + m.fs.discharge.hxd_tube_dia_ratio = ( + m.fs.discharge.hxd_tube_outer_dia / m.fs.discharge.hxd_tube_inner_dia) + m.fs.discharge.hxd_log_tube_dia_ratio = log(m.fs.discharge.hxd_tube_dia_ratio) + + # Add fuel cost data + m.data_cost = { + 'coal_price': 2.11e-9, + } + m.fs.discharge.coal_price = pyo.Param( + initialize=m.data_cost['coal_price'], + doc='Coal price based on HHV in $/J') + + # Add parameters to calculate the Solar salt pump costing. Since + # the unit is not explicitly modeled, the IDAES cost method is not + # used for this equipment. The primary purpose of the salt pump + # is to move the molten salt without changing the pressure. Thus, + # the pressure head is computed assuming that the salt is moved on + # an average of 5m linear distance. + m.data_salt_pump = { + 'FT': 1.5, + 'FM': 2.0, + 'head': 3.281*5, + 'motor_FT': 1, + 'nm': 1 + } + m.fs.discharge.spump_FT = pyo.Param( + initialize=m.data_salt_pump['FT'], + doc='Pump Type Factor for vertical split case') + m.fs.discharge.spump_FM = pyo.Param( + initialize=m.data_salt_pump['FM'], + doc='Pump Material Factor Stainless Steel') + m.fs.discharge.spump_head = pyo.Param( + initialize=m.data_salt_pump['head'], + doc='Pump Head 5m in ft.') + m.fs.discharge.spump_motorFT = pyo.Param( + initialize=m.data_salt_pump['motor_FT'], + doc='Motor Shaft Type Factor') + m.fs.discharge.spump_nm = pyo.Param( + initialize=m.data_salt_pump['nm'], + doc='Motor Shaft Type Factor') + + +def _make_constraints(m, add_efficiency=None, power_max=None): + """Declare constraints for the discharge model + + """ + + m.fs.discharge_power_out = pyo.Var( + initialize=30, + bounds=(0, 200), + doc="Coal heat duty supplied to boiler in MW") + + m.fs.net_power = pyo.Expression( + expr=(m.fs.plant_power_out[0] + m.fs.discharge_power_out) + ) + + m.fs.boiler_efficiency = pyo.Var(initialize=0.9, + bounds=(0, 1), + doc="Boiler efficiency") + m.fs.boiler_efficiency_eq = pyo.Constraint( + expr=m.fs.boiler_efficiency == ( + 0.2143 * + (m.fs.net_power / power_max) + + 0.7357 + ), + doc="Boiler efficiency in fraction" + ) + m.fs.coal_heat_duty = pyo.Var( + initialize=1000, + bounds=(0, 1e5), + doc="Coal heat duty supplied to boiler in MW") + + if add_efficiency: + m.fs.coal_heat_duty_eq = pyo.Constraint( + expr=m.fs.coal_heat_duty * + m.fs.boiler_efficiency == + m.fs.plant_heat_duty[0] + ) + else: + m.fs.coal_heat_duty_eq = pyo.Constraint( + expr=m.fs.coal_heat_duty == m.fs.plant_heat_duty[0] + ) + + m.fs.cycle_efficiency = pyo.Var(initialize=0.4, + bounds=(0, 1), + doc="Cycle efficiency") + m.fs.cycle_efficiency_eq = pyo.Constraint( + expr=( + m.fs.cycle_efficiency * + m.fs.coal_heat_duty + ) == m.fs.net_power, + doc="Cycle efficiency" + ) + + +def _solar_salt_ohtc_calculation(m): + """Block of equations to compute overall heat transfer coefficient for + Solar salt heat exchanger + + """ + + # Calculate Reynolds number for the salt + m.fs.discharge.hxd.salt_reynolds_number = pyo.Expression( + expr=( + (m.fs.discharge.hxd.shell_inlet.flow_mass[0] * + m.fs.discharge.hxd_tube_outer_dia) / + (m.fs.discharge.hxd_shell_eff_area * + m.fs.discharge.hxd.hot_side.properties_in[0].visc_d_phase["Liq"]) + ), + doc="Salt Reynolds Number") + + # Calculate Prandtl number for the salt + m.fs.discharge.hxd.salt_prandtl_number = pyo.Expression( + expr=( + m.fs.discharge.hxd.hot_side.properties_in[0].cp_mass["Liq"] * + m.fs.discharge.hxd.hot_side.properties_in[0].visc_d_phase["Liq"] / + m.fs.discharge.hxd.hot_side.properties_in[0].therm_cond_phase["Liq"] + ), + doc="Salt Prandtl Number") + + # Calculate Prandtl Wall number for the salt + m.fs.discharge.hxd.salt_prandtl_wall = pyo.Expression( + expr=( + m.fs.discharge.hxd.hot_side.properties_out[0].cp_mass["Liq"] * + m.fs.discharge.hxd.hot_side.properties_out[0].visc_d_phase["Liq"] / + m.fs.discharge.hxd.hot_side.properties_out[0].therm_cond_phase["Liq"] + ), + doc="Salt Prandtl Number at wall") + + # Calculate Nusselt number for the salt + m.fs.discharge.hxd.salt_nusselt_number = pyo.Expression( + expr=( + 0.35 * + (m.fs.discharge.hxd.salt_reynolds_number**0.6) * + (m.fs.discharge.hxd.salt_prandtl_number**0.4) * + ((m.fs.discharge.hxd.salt_prandtl_number / + m.fs.discharge.hxd.salt_prandtl_wall) ** 0.25) * + (2**0.2) + ), + doc="Salt Nusslet Number from 2019, App Ener (233-234), 126") + + # Calculate Reynolds number for the steam + m.fs.discharge.hxd.steam_reynolds_number = pyo.Expression( + expr=( + m.fs.discharge.hxd.tube_inlet.flow_mol[0] * + m.fs.discharge.hxd.cold_side.properties_in[0].mw * + m.fs.discharge.hxd_tube_inner_dia / + (m.fs.discharge.hxd_tube_cs_area * + m.fs.discharge.hxd_n_tubes * + m.fs.discharge.hxd.cold_side.properties_in[0].visc_d_phase["Vap"]) + ), + doc="Steam Reynolds Number") + + # Calculate Reynolds number for the steam + m.fs.discharge.hxd.steam_prandtl_number = pyo.Expression( + expr=( + (m.fs.discharge.hxd.cold_side.properties_in[0].cp_mol / + m.fs.discharge.hxd.cold_side.properties_in[0].mw) * + m.fs.discharge.hxd.cold_side. + properties_in[0].visc_d_phase["Vap"] / + m.fs.discharge.hxd.cold_side.properties_in[0].therm_cond_phase["Vap"] + ), + doc="Steam Prandtl Number") + + # Calculate Reynolds number for the steam + m.fs.discharge.hxd.steam_nusselt_number = pyo.Expression( + expr=( + 0.023 * + (m.fs.discharge.hxd.steam_reynolds_number**0.8) * + (m.fs.discharge.hxd.steam_prandtl_number**(0.33)) * + ( + (m.fs.discharge.hxd.cold_side.properties_in[0].visc_d_phase["Vap"] / + m.fs.discharge.hxd.cold_side.properties_out[0].visc_d_phase["Liq"]) ** 0.14 + ) + ), + doc="Steam Nusslet Number from 2001 Zavoico, Sandia") + + # Calculate heat transfer coefficients for the salt and steam + # sides of discharge heat exchanger + m.fs.discharge.hxd.h_salt = pyo.Expression( + expr=( + m.fs.discharge.hxd.hot_side.properties_in[0].therm_cond_phase["Liq"] * + m.fs.discharge.hxd.salt_nusselt_number / + m.fs.discharge.hxd_tube_outer_dia + ), + doc="Salt side convective heat transfer coefficient in W/m.K") + m.fs.discharge.hxd.h_steam = pyo.Expression( + expr=( + m.fs.discharge.hxd.cold_side.properties_in[0].therm_cond_phase["Vap"] * + m.fs.discharge.hxd.steam_nusselt_number / + m.fs.discharge.hxd_tube_inner_dia + ), + doc="Steam side convective heat transfer coefficient in W/m.K") + + # Calculate overall heat transfer coefficient for Solar salt heat + # exchanger + @m.fs.discharge.hxd.Constraint(m.fs.time) + def constraint_hxd_ohtc(b, t): + return ( + m.fs.discharge.hxd.overall_heat_transfer_coefficient[t] * ( + 2 * m.fs.discharge.hxd_k_steel * + m.fs.discharge.hxd.h_steam + + m.fs.discharge.hxd_tube_outer_dia * + m.fs.discharge.hxd_log_tube_dia_ratio * + m.fs.discharge.hxd.h_salt * + m.fs.discharge.hxd.h_steam + + m.fs.discharge.hxd_tube_dia_ratio * + m.fs.discharge.hxd.h_salt * + 2 * m.fs.discharge.hxd_k_steel + ) + ) == (2 * m.fs.discharge.hxd_k_steel * + m.fs.discharge.hxd.h_salt * + m.fs.discharge.hxd.h_steam) + + +def disconnect_arcs(m): + """Disconnect arcs from ultra-supercritical plant base model to + connect the Solar salt discharge storage system + + """ + + for arc_s in [ + m.fs.condpump_to_fwh1, + m.fs.fwh4_to_fwh5, + m.fs.booster_to_fwh6, + m.fs.bfp_to_fwh8, + m.fs.fwh9_to_boiler, + m.fs.t6split_to_bfpt, + # m.fs.rh2_to_turb5, + # m.fs.cond_to_condpump + # m.fs.bfpt_to_condmix + ]: + arc_s.expanded_block.enth_mol_equality.deactivate() + arc_s.expanded_block.flow_mol_equality.deactivate() + arc_s.expanded_block.pressure_equality.deactivate() + + +def add_disjunction(m): + """Add disjunction for the selection of condensate source to integrate + the discharge storage system to the power plant model + + """ + + # Add disjunction 2 for ccs steam source selection + m.fs.ccs_source_disjunction = Disjunction( + expr=[ + m.fs.discharge.iplp_source_disjunct, + m.fs.discharge.hxd_source_disjunct + ] + ) + + # Add disjunction 1 for condensate source selection + m.fs.hxd_source_disjunction = Disjunction( + expr=[ + m.fs.discharge.booster_source_disjunct, + m.fs.discharge.bfp_source_disjunct, + m.fs.discharge.fwh4_source_disjunct, + m.fs.discharge.fwh9_source_disjunct, + m.fs.discharge.condpump_source_disjunct + ] + ) + + # Expand arcs within the disjuncts + expand_arcs.obj_iter_kwds['descend_into'] = (Block, Disjunct) + TransformationFactory("network.expand_arcs").apply_to(m.fs.discharge) + + return m + + +# def rh2_source_disjunct_equations(disj): +# """Block of equations for disjunct 1 in disjunction 1 for the selection +# of condensate water source from condenser pump + +# """ + +# m = disj.model() + +# # Declare turbine for storage system +# m.fs.discharge.rh2_source_disjunct.es_turbine = HelmTurbineStage( +# property_package=m.fs.prop_water +# ) + +# m.fs.discharge.rh2_source_disjunct.es_turbine.efficiency_isentropic.fix(0.8) + +# for est in [m.fs.discharge.rh2_source_disjunct.es_turbine.control_volume]: +# iscale.set_scaling_factor(est.work, 1e-6) + +# # + (m.fs.discharge.es_turbine.control_volume.work[0] * (-1e-6)) +# # Add a constraint to storage turbine to ensure that the outlet +# # temperature is at the saturation temperature +# @m.fs.discharge.rh2_source_disjunct.es_turbine.Constraint( +# m.fs.time, +# doc="Turbine outlet should be a saturated steam") +# def constraint_esturbine_temperature_out(b, t): +# return ( +# b.control_volume.properties_out[t].temperature == +# b.control_volume.properties_out[t].temperature_sat + 1 +# ) +# @m.fs.discharge.rh2_source_disjunct.Constraint( +# m.fs.time, +# doc="Turbine outlet should be a saturated steam") +# def constraint_storage_power_out(b, t): +# return ( +# m.fs.discharge_power_out == +# (b.es_turbine.control_volume.work[0] * (-1e-6)) +# ) + +# m.fs.discharge.rh2_source_disjunct.hxd_to_esturbine = Arc( +# source=m.fs.discharge.hxd.tube_outlet, +# destination=m.fs.discharge.rh2_source_disjunct.es_turbine.inlet, +# doc="Connection from HXD to ES turbine" +# ) + +# # Add splitter to send a fraction of steam to the charge storage +# # system +# m.fs.discharge.rh2_source_disjunct.ccs_split = HelmSplitter( +# property_package=m.fs.prop_water, +# outlet_list=["to_ccs", "to_turb"], +# ) + +# m.fs.discharge.rh2_source_disjunct.rh2_to_rhsplit = Arc( +# source=m.fs.reheater[2].outlet, +# destination=m.fs.discharge.rh2_source_disjunct.ccs_split.inlet, +# doc="Connection from RH2 to T5 split" +# ) +# m.fs.discharge.rh2_source_disjunct.rhsplit_to_bfpt = Arc( +# source=m.fs.discharge.rh2_source_disjunct.ccs_split.to_turb, +# destination=m.fs.turbine[5].inlet, +# doc="Connection from RH split to T5" +# ) +# m.fs.discharge.rh2_source_disjunct.rhsplit_to_ccs = Arc( +# source=m.fs.discharge.rh2_source_disjunct.ccs_split.to_ccs, +# destination=m.fs.ccs_reboiler.inlet, +# doc="Connection from bfpt split to ccs reboiler" +# ) + +# for unit_k in [m.fs.discharge.rh2_source_disjunct.es_turbine]: +# unit_k.inlet.flow_mol[:].setlb(0) +# unit_k.inlet.flow_mol[:].setub(10000) +# unit_k.outlet.flow_mol[:].setlb(0) +# unit_k.outlet.flow_mol[:].setub(10000) + +# unit_k.control_volume.work[:].setub(0) +# unit_k.control_volume.work[:].setlb(-1e9) +# # unit_k.inlet.pressure[:].setlb(0) +# # unit_k.inlet.pressure[:].setub(1e12) +# # unit_k.outlet.pressure[:].setlb(0) +# # unit_k.outlet.pressure[:].setub(1e12) +# unit_k.deltaP[:].setlb(0) +# unit_k.deltaP[:].setub(1e9) + + +def iplp_source_disjunct_equations(disj): + """Block of equations for disjunct 1 in disjunction 1 for the selection + of condensate water source from condenser pump + + """ + + m = disj.model() + + # Declare turbine for storage system + m.fs.discharge.iplp_source_disjunct.es_turbine = HelmTurbineStage( + property_package=m.fs.prop_water + ) + + m.fs.discharge.iplp_source_disjunct.es_turbine.efficiency_isentropic.fix(0.8) + + for est in [m.fs.discharge.iplp_source_disjunct.es_turbine.control_volume]: + iscale.set_scaling_factor(est.work, 1e-6) + + # + (m.fs.discharge.es_turbine.control_volume.work[0] * (-1e-6)) + # Add a constraint to storage turbine to ensure that the outlet + # temperature is at the saturation temperature + @m.fs.discharge.iplp_source_disjunct.es_turbine.Constraint( + m.fs.time, + doc="Turbine outlet should be a saturated steam") + def constraint_esturbine_temperature_out(b, t): + return ( + b.control_volume.properties_out[t].temperature == + b.control_volume.properties_out[t].temperature_sat + 1 + ) + # m.fs.discharge.iplp_source_disjunct.es_turbine.control_volume.properties_out[0].enth_mol.fix(20000) + # m.fs.discharge.iplp_source_disjunct.es_turbine.ratioP[0].fix(0.02) + @m.fs.discharge.iplp_source_disjunct.Constraint( + m.fs.time, + doc="Turbine outlet should be a saturated steam") + def constraint_storage_power_out(b, t): + return ( + m.fs.discharge_power_out == + (b.es_turbine.control_volume.work[0] * (-1e-6)) + ) + + m.fs.discharge.iplp_source_disjunct.hxd_to_esturbine = Arc( + source=m.fs.discharge.hxd.tube_outlet, + destination=m.fs.discharge.iplp_source_disjunct.es_turbine.inlet, + doc="Connection from HXD to ES turbine" + ) + + # Add splitter to send a fraction of steam to the charge storage + # system + m.fs.discharge.iplp_source_disjunct.ccs_split = HelmSplitter( + property_package=m.fs.prop_water, + outlet_list=["to_ccs", "to_turb"], + ) + + m.fs.discharge.iplp_source_disjunct.t6split_to_ccsplit = Arc( + source=m.fs.turbine_splitter[6].outlet_3, + destination=m.fs.discharge.iplp_source_disjunct.ccs_split.inlet, + doc="Connection from Turbine 6 outlet 3 to ccs split" + ) + m.fs.discharge.iplp_source_disjunct.bfptsplit_to_bfpt = Arc( + source=m.fs.discharge.iplp_source_disjunct.ccs_split.to_turb, + destination=m.fs.bfpt.inlet, + doc="Connection from ccs split to bfpt" + ) + m.fs.discharge.iplp_source_disjunct.ccsplit_to_ccs = Arc( + source=m.fs.discharge.iplp_source_disjunct.ccs_split.to_ccs, + destination=m.fs.ccs_reboiler.inlet, + doc="Connection from bfpt split to ccs reboiler" + ) + + +def hxd_source_disjunct_equations(disj): + """Block of equations for disjunct 1 in disjunction 1 for the selection + of condensate water source from condenser pump + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge_power_out.fix(0) + + # m.fs.discharge.hxd_source_disjunct.rh2_to_turb5 = Arc( + # source=m.fs.reheater[2].outlet, + # destination=m.fs.turbine[5].inlet + # ) + m.fs.discharge.hxd_source_disjunct.t6split_to_bfpt = Arc( + source=m.fs.turbine_splitter[6].outlet_3, + destination=m.fs.bfpt.inlet + ) + m.fs.discharge.hxd_source_disjunct.hxd_to_ccs = Arc( + source=m.fs.discharge.hxd.tube_outlet, + destination=m.fs.ccs_reboiler.inlet, + doc="Connection from Turbine 6 outlet 3 to ccs split" + ) + +def condpump_source_disjunct_equations(disj): + """Block of equations for disjunct 1 in disjunction 1 for the selection + of condensate water source from condenser pump + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge.condpump_source_disjunct.condpump_to_essplit = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.discharge.es_split.inlet, + doc="Connection from Condenser pump to ES splitter" + ) + m.fs.discharge.condpump_source_disjunct.essplit_to_fwh1 = Arc( + source=m.fs.discharge.es_split.to_fwh, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from ES splitter to FWH1" + ) + + m.fs.discharge.condpump_source_disjunct.fwh4_to_fwh5 = Arc( + source=m.fs.fwh[4].tube_outlet, + destination=m.fs.fwh[5].tube_inlet, + doc="Connection from FWH4 to FWH5" + ) + + m.fs.discharge.condpump_source_disjunct.booster_to_fwh6 = Arc( + source=m.fs.booster.outlet, + destination=m.fs.fwh[6].tube_inlet, + doc="Connection from booster pump to FWH6" + ) + + m.fs.discharge.condpump_source_disjunct.bfp_to_fwh8 = Arc( + source=m.fs.bfp.outlet, + destination=m.fs.fwh[8].tube_inlet, + doc="Connection from BFP to FWH8" + ) + + m.fs.discharge.condpump_source_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet, + doc="Connection from FWH9 to boiler" + ) + + +def fwh4_source_disjunct_equations(disj): + """Block of equations for disjunct 2 in disjunction 1 for the selection + of condensate water source from feed water heater 4 + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge.fwh4_source_disjunct.fwh4_to_essplit = Arc( + source=m.fs.fwh[4].tube_outlet, + destination=m.fs.discharge.es_split.inlet, + doc="Connection from FWH4 to ES splitter" + ) + m.fs.discharge.fwh4_source_disjunct.essplit_to_fwh5 = Arc( + source=m.fs.discharge.es_split.to_fwh, + destination=m.fs.fwh[5].tube_inlet, + doc="Connection from ES splitter to FWH5" + ) + + m.fs.discharge.fwh4_source_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + m.fs.discharge.fwh4_source_disjunct.booster_to_fwh6 = Arc( + source=m.fs.booster.outlet, + destination=m.fs.fwh[6].tube_inlet, + doc="Connection from booster pump to FWH6" + ) + + m.fs.discharge.fwh4_source_disjunct.bfp_to_fwh8 = Arc( + source=m.fs.bfp.outlet, + destination=m.fs.fwh[8].tube_inlet, + doc="Connection from BFP to FWH8" + ) + + m.fs.discharge.fwh4_source_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet, + doc="Connection from FWH9 to boiler" + ) + + +def booster_source_disjunct_equations(disj): + """Block of equations for disjunct 3 in disjunction 1 for the + selection of condensate water source from booster pump + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge.booster_source_disjunct.booster_to_essplit = Arc( + source=m.fs.booster.outlet, + destination=m.fs.discharge.es_split.inlet, + doc="Connection from Booster pump to ES splitter" + ) + m.fs.discharge.booster_source_disjunct.essplit_to_fwh6 = Arc( + source=m.fs.discharge.es_split.to_fwh, + destination=m.fs.fwh[6].tube_inlet, + doc="Connection from ES splitter to FWH6" + ) + + m.fs.discharge.booster_source_disjunct.fwh4_to_fwh5 = Arc( + source=m.fs.fwh[4].tube_outlet, + destination=m.fs.fwh[5].tube_inlet, + doc="Connection from FWH4 to FWH5" + ) + + m.fs.discharge.booster_source_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + m.fs.discharge.booster_source_disjunct.bfp_to_fwh8 = Arc( + source=m.fs.bfp.outlet, + destination=m.fs.fwh[8].tube_inlet, + doc="Connection from BFP to FWH8" + ) + + m.fs.discharge.booster_source_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet, + doc="Connection from FWH9 to boiler" + ) + + +def bfp_source_disjunct_equations(disj): + """Block of equations for disjunct 2 in disjunction 1 for the + selection of condensate water source from boiler feed water pump + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge.bfp_source_disjunct.bfp_to_essplit = Arc( + source=m.fs.bfp.outlet, + destination=m.fs.discharge.es_split.inlet, + doc="Connection from BFP to ES splitter" + ) + m.fs.discharge.bfp_source_disjunct.essplit_to_fwh8 = Arc( + source=m.fs.discharge.es_split.to_fwh, + destination=m.fs.fwh[8].tube_inlet, + doc="Connection from ES splitter to FWH8" + ) + + m.fs.discharge.bfp_source_disjunct.fwh4_to_fwh5 = Arc( + source=m.fs.fwh[4].tube_outlet, + destination=m.fs.fwh[5].tube_inlet, + doc="Connection from FWH4 to FWH5" + ) + + m.fs.discharge.bfp_source_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + m.fs.discharge.bfp_source_disjunct.booster_to_fwh6 = Arc( + source=m.fs.booster.outlet, + destination=m.fs.fwh[6].tube_inlet, + doc="Connection from booster pump to FWH6" + ) + + m.fs.discharge.bfp_source_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet, + doc="Connection from FWH9 to boiler" + ) + + +def fwh9_source_disjunct_equations(disj): + """Block of equations for disjunct 2 in disjunction 1 for the + selection of condensate water source from feed water heater 9 + + """ + + m = disj.model() + + # Define arcs to connect units within disjunct + m.fs.discharge.fwh9_source_disjunct.fwh9_to_essplit = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.discharge.es_split.inlet, + doc="Connection from FWH9 to the ES SPlitter" + ) + m.fs.discharge.fwh9_source_disjunct.essplit_to_boiler = Arc( + source=m.fs.discharge.es_split.to_fwh, + destination=m.fs.boiler.inlet, + doc="Connection from ES splitter to Boiler" + ) + + m.fs.discharge.fwh9_source_disjunct.fwh4_to_fwh5 = Arc( + source=m.fs.fwh[4].tube_outlet, + destination=m.fs.fwh[5].tube_inlet, + doc="Connection from FWH4 to FWH5" + ) + + m.fs.discharge.fwh9_source_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + m.fs.discharge.fwh9_source_disjunct.booster_to_fwh6 = Arc( + source=m.fs.booster.outlet, + destination=m.fs.fwh[6].tube_inlet, + doc="Connection from booster to FWH6" + ) + + m.fs.discharge.fwh9_source_disjunct.bfp_to_fwh8 = Arc( + source=m.fs.bfp.outlet, + destination=m.fs.fwh[8].tube_inlet, + doc="Connection from BFP to FWH8" + ) + + +def set_model_input(m): + """Define model inputs such as fixed variables and parameter + values. The arameter values in this block, unless otherwise stated + explicitly, are either assumed or estimated for a total power out + of 437 MW. The inputs fixed in this function are the necessary + inputs to obtain a square model (0 degrees of freedom). + + Unless stated otherwise, the units are: temperature in K, pressure + in Pa, flow in mol/s, massic flow in kg/s, and heat and heat duty + in W + + """ + + ########################################################################### + # Fix data in discharge system + ########################################################################### + # Add heat exchanger area from supercritical plant model_input. For + # conceptual design optimization, area is unfixed and optimized + m.fs.discharge.hxd.area.fix(2000) + + # Define storage fluid conditions. The fluid inlet flow is fixed + # during initialization, but is unfixed and determined during + # optimization + m.fs.discharge.hxd.shell_inlet.flow_mass.fix(200) + m.fs.discharge.hxd.shell_inlet.temperature.fix(831.15) + m.fs.discharge.hxd.shell_inlet.pressure.fix(101325) + + m.fs.discharge.es_split.inlet.flow_mol.fix(17854) + m.fs.discharge.es_split.inlet.enth_mol.fix(52232) + m.fs.discharge.es_split.inlet.pressure.fix(3.4958e7) + + ########################################################################### + # Fix data in condensate source splitter + ########################################################################### + # The model is built for a fixed flow of condensate through the + # discharge heat exchanger. This condensate flow is unfixed and + # determined during design optimization + m.fs.discharge.es_split.split_fraction[0, "to_hxd"].fix(0.2) + + ########################################################################### + # Inputs for flue gas and capture units + ########################################################################### + m.fs.fg_to_ccs_splitfraction[:].fix(1) + m.fs.ccs_reboiler.inlet.pressure[0].fix(31126000) + m.fs.ccs_reboiler.inlet.enth_mol[0].fix(61493) + m.fs.ccs_reboiler.inlet.flow_mol[0].fix(10740) + m.fs.ccs_reboiler.outlet.pressure[0].fix(7000) + # m.fs.ccs_reboiler.outlet.enth_mol[0].fix(3000) + +def set_scaling_factors(m): + """Scaling factors in the flowsheet + + """ + + # Include scaling factors for solar discharge heat exchanger + iscale.set_scaling_factor( + m.fs.ccs_reboiler.control_volume.heat, 1e-6) + for htf in [m.fs.discharge.hxd]: + iscale.set_scaling_factor(htf.area, 1e-2) + iscale.set_scaling_factor( + htf.overall_heat_transfer_coefficient, 1e-3) + iscale.set_scaling_factor(htf.tube.heat, 1e-6) + iscale.set_scaling_factor(htf.shell.heat, 1e-6) + + + +def initialize(m, solver=None, optarg=None, outlvl=idaeslog.NOTSET): + """Initialize the units included in the discharge model + + """ + # Include scaling factors + iscale.calculate_scaling_factors(m) + + # Initialize splitter + propagate_state(m.fs.discharge.fwh4_source_disjunct.fwh4_to_essplit) + propagate_state(m.fs.discharge.condpump_source_disjunct.condpump_to_essplit) + propagate_state(m.fs.discharge.booster_source_disjunct.booster_to_essplit) + propagate_state(m.fs.discharge.bfp_source_disjunct.bfp_to_essplit) + propagate_state(m.fs.discharge.fwh9_source_disjunct.fwh9_to_essplit) + m.fs.discharge.es_split.initialize(outlvl=outlvl, + optarg=optarg) + + # Deactivate feed water heat constraints for initialization + for i in m.set_fwh: + m.fs.fwh[i].fwh_vfrac_constraint.deactivate() + + # Initialize feed water heat 1 + propagate_state(m.fs.discharge.condpump_source_disjunct.essplit_to_fwh1) + propagate_state(m.fs.discharge.fwh4_source_disjunct.condpump_to_fwh1) + propagate_state(m.fs.discharge.booster_source_disjunct.condpump_to_fwh1) + propagate_state(m.fs.discharge.bfp_source_disjunct.condpump_to_fwh1) + propagate_state(m.fs.discharge.fwh9_source_disjunct.condpump_to_fwh1) + m.fs.fwh[1].initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize feed water heat 5 + propagate_state(m.fs.discharge.condpump_source_disjunct.fwh4_to_fwh5) + propagate_state(m.fs.discharge.fwh4_source_disjunct.essplit_to_fwh5) + propagate_state(m.fs.discharge.booster_source_disjunct.fwh4_to_fwh5) + propagate_state(m.fs.discharge.bfp_source_disjunct.fwh4_to_fwh5) + propagate_state(m.fs.discharge.fwh9_source_disjunct.fwh4_to_fwh5) + m.fs.fwh[5].initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize feed water heat 6 + propagate_state(m.fs.discharge.condpump_source_disjunct.booster_to_fwh6) + propagate_state(m.fs.discharge.fwh4_source_disjunct.booster_to_fwh6) + propagate_state(m.fs.discharge.booster_source_disjunct.essplit_to_fwh6) + propagate_state(m.fs.discharge.bfp_source_disjunct.booster_to_fwh6) + propagate_state(m.fs.discharge.fwh9_source_disjunct.booster_to_fwh6) + m.fs.fwh[6].initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize feed water heat 8 + propagate_state(m.fs.discharge.condpump_source_disjunct.bfp_to_fwh8) + propagate_state(m.fs.discharge.fwh4_source_disjunct.bfp_to_fwh8) + propagate_state(m.fs.discharge.booster_source_disjunct.bfp_to_fwh8) + propagate_state(m.fs.discharge.bfp_source_disjunct.essplit_to_fwh8) + propagate_state(m.fs.discharge.fwh9_source_disjunct.bfp_to_fwh8) + m.fs.fwh[8].initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize boiler + propagate_state(m.fs.discharge.condpump_source_disjunct.fwh9_to_boiler) + propagate_state(m.fs.discharge.fwh4_source_disjunct.fwh9_to_boiler) + propagate_state(m.fs.discharge.booster_source_disjunct.fwh9_to_boiler) + propagate_state(m.fs.discharge.bfp_source_disjunct.fwh9_to_boiler) + propagate_state(m.fs.discharge.fwh9_source_disjunct.essplit_to_boiler) + m.fs.boiler.initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize discharge heat exchanger + propagate_state(m.fs.discharge.essplit_to_hxd) + m.fs.discharge.hxd.initialize(outlvl=outlvl, + optarg=optarg) + + # Deactivate IP-LP source turbine constraint for initialization + m.fs.discharge.iplp_source_disjunct.es_turbine.constraint_esturbine_temperature_out.deactivate() + + # Initialize IP-LP source turbine + propagate_state(m.fs.discharge.iplp_source_disjunct.hxd_to_esturbine) + + m.fs.discharge.iplp_source_disjunct.es_turbine.initialize(outlvl=outlvl, + optarg=optarg) + + # Initialize turbine splitter 6 + m.fs.turbine_splitter[6].initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize IP-LP source CCS splitter + propagate_state(m.fs.discharge.iplp_source_disjunct.t6split_to_ccsplit) + m.fs.discharge.iplp_source_disjunct.ccs_split.initialize(outlvl=outlvl, + optarg=solver.options) + + # Initialize boiler feed pump turbine + propagate_state(m.fs.discharge.hxd_source_disjunct.t6split_to_bfpt) + propagate_state(m.fs.discharge.iplp_source_disjunct.bfptsplit_to_bfpt) + m.fs.bfpt.initialize(outlvl=outlvl, + optarg=solver.options) + + # Deactivate CCS reboiler constraint for initialization + # m.fs.eq_reboiler_heat_duty.deactivate() + + # Initialize CCS reboiler + propagate_state(m.fs.discharge.hxd_source_disjunct.hxd_to_ccs) + propagate_state(m.fs.discharge.iplp_source_disjunct.ccsplit_to_ccs) + m.fs.ccs_reboiler.initialize(outlvl=outlvl, + optarg=solver.options) + + # Reactivate feed water heater and IP-LP source turbine constraints + for j in m.set_fwh: + m.fs.fwh[j].fwh_vfrac_constraint.activate() + m.fs.discharge.iplp_source_disjunct.es_turbine.constraint_esturbine_temperature_out.activate() + m.fs.eq_reboiler_heat_duty.activate() + + # Fix disjuncts for initialization + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(False) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(False) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(False) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(False) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(False) + + m.fs.discharge.iplp_source_disjunct.indicator_var.fix(False) + m.fs.discharge.hxd_source_disjunct.indicator_var.fix(False) + + # Add options to GDPopt + m_init = m.clone() + m_init_var_names = [v for v in m_init.component_data_objects(Var)] + m_orig_var_names = [v for v in m.component_data_objects(Var)] + + TransformationFactory("gdp.fix_disjuncts").apply_to(m_init) + + # Check and raise an error if the degrees of freedom are not 0 + if not degrees_of_freedom(m_init) == 0: + raise ConfigurationError( + "The degrees of freedom after building the model are not 0. " + "You have {} degrees of freedom. " + "Please check your inputs to ensure a square problem " + "before initializing the model.".format(degrees_of_freedom(m)) + ) + + # Solve initialization + init_results = solver.solve(m_init, options=optarg) + print("Discharge model initialization solver termination = ", + init_results.solver.termination_condition) + + for v1, v2 in zip(m_init_var_names, m_orig_var_names): + v2.value == v1.value + + + print("Discharge model initialization solver termination:", + init_results.solver.termination_condition) + print("************* Discharge Model Initialized ******************") + + +def build_costing(m, solver=None): + """Add cost correlations for the storage design analysis + + This function is used to estimate the capital and operating cost + of integrating a discharge storage system to the power plant and + it contains cost correlations to estimate: (i) the capital cost of + discharge heat exchanger and Solar salt pump, and (ii) the + operating costs for 1 year + + """ + + ########################################################################### + # Add capital cost + # 1. Calculate discharge heat exchanger cost + # 2. Calculate Solar salt pump purchase cost + # 3. Calculate total capital cost of discharge system + + # Main assumptions + # 1. Salt life is assumed to outlast the plant life + # 2. The economic objective is to minimize total annualized cost. So, cash + # flows, discount rate, and NPV are not included in this study. + ########################################################################### + # Add capital cost: 1. Calculate discharge heat exchanger cost + ########################################################################### + # Calculate and initialize Solar salt discharge heat exchanger + # cost, which is estimated using the IDAES costing method with + # default options, i.e. a U-tube heat exchanger, stainless steel + # material, and a tube length of 12ft. Refer to costing + # documentation to change any of the default options. The purchase + # cost of heat exchanger has to be annualized when used + m.fs.costing = SSLWCosting() + + m.fs.discharge.hxd.costing = UnitModelCostingBlock( + flowsheet_costing_block=m.fs.costing, + costing_method=SSLWCostingData.cost_heat_exchanger, + ) + + ########################################################################### + # Add capital cost: 2. Calculate Solar salt pump purchase cost + ########################################################################### + # Pump for moving Solar salt is not explicity modeled. To compute + # the capital costs for this pump the capital cost expressions are + # added below. All cost expressions are from the same reference + # as the IDAES costing framework and is given below: Seider, + # Seader, Lewin, Windagdo, 3rd Ed. John Wiley and Sons, Chapter + # 22. Cost Accounting and Capital Cost Estimation, Section 22.2 Cost + # Indexes and Capital Investment + + # ---------- Solar salt ---------- + # Calculate purchase cost of Solar salt pump + m.fs.discharge.spump_Qgpm = pyo.Expression( + expr=(m.fs.discharge.hxd. + hot_side.properties_in[0].flow_mass * + (264.17 * pyo.units.gallon / pyo.units.m**3) * + (60 * pyo.units.s / pyo.units.min) / + (m.fs.discharge.hxd. + hot_side.properties_in[0].dens_mass["Liq"])), + doc="Conversion of Solar salt flow mass to volumetric flow in gallons/min" + ) + m.fs.discharge.dens_lbft3 = pyo.units.convert( + m.fs.discharge.hxd.hot_side.properties_in[0].dens_mass["Liq"], + to_units=pyo.units.pound / pyo.units.foot**3 + ) + m.fs.discharge.spump_sf = pyo.Expression( + expr=(m.fs.discharge.spump_Qgpm * + (m.fs.discharge.spump_head ** 0.5)), + doc="Pump size factor" + ) + # Expression for pump base purchase cost + m.fs.discharge.pump_CP = pyo.Expression( + expr=( + m.fs.discharge.spump_FT * m.fs.discharge.spump_FM * + exp( + 9.7171 - + 0.6019 * log(m.fs.discharge.spump_sf) + + 0.0519 * ((log(m.fs.discharge.spump_sf))**2) + ) + ), + doc="Base purchase cost of Solar salt pump in $" + ) + # Expression for pump efficiency + m.fs.discharge.spump_np = pyo.Expression( + expr=( + -0.316 + + 0.24015 * log(m.fs.discharge.spump_Qgpm) - + 0.01199 * ((log(m.fs.discharge.spump_Qgpm))**2) + ), + doc="Fractional efficiency of the pump in horsepower" + ) + m.fs.discharge.motor_pc = pyo.Expression( + expr=( + (m.fs.discharge.spump_Qgpm * + m.fs.discharge.spump_head * + m.fs.discharge.dens_lbft3) / + (33000 * + m.fs.discharge.spump_np * + m.fs.discharge.spump_nm) + ), + doc="Power consumption of motor in horsepower" + ) + + # Defining a local variable for the log of motor's power consumption + # This will help writing the motor's purchase cost expressions conciesly + _log_motor_pc = log(m.fs.discharge.motor_pc) + + # Expression for motor's purchase cost + m.fs.discharge.motor_CP = pyo.Expression( + expr=( + m.fs.discharge.spump_motorFT * + exp( + 5.8259 + + 0.13141 * _log_motor_pc + + 0.053255 * (_log_motor_pc**2) + + 0.028628 * (_log_motor_pc**3) - + 0.0035549 * (_log_motor_pc**4) + ) + ), + doc="Base cost of Solar salt pump's motor in $" + ) + + # Calculate and initialize total cost of Solar salt pump + m.fs.discharge.spump_purchase_cost = pyo.Var( + initialize=100000, + bounds=(0, 1e7), + doc="Total purchase cost of Solar salt pump in $" + ) + + def solar_spump_purchase_cost_rule(b): + return ( + m.fs.discharge.spump_purchase_cost == ( + m.fs.discharge.pump_CP + + m.fs.discharge.motor_CP) * + (m.CE_index / 394) + ) + m.fs.discharge.spump_purchase_cost_eq = pyo.Constraint( + rule=solar_spump_purchase_cost_rule) + + calculate_variable_from_constraint( + m.fs.discharge.spump_purchase_cost, + m.fs.discharge.spump_purchase_cost_eq) + + ########################################################################### + # Add capital cost: 3. Calculate total capital cost for discharge system + ########################################################################### + + # Add capital cost variable at flowsheet level to handle the Solar + # salt capital cost + m.fs.discharge.capital_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e10), + doc="Annualized capital cost in $/year") + + # Calculate and initialize annualized capital cost for the Solar + # salt discharge storage system + def solar_cap_cost_rule(b): + return ( + m.fs.discharge.capital_cost * + m.fs.discharge.num_of_years + ) == (m.fs.discharge.spump_purchase_cost + + m.fs.discharge.hxd.costing.capital_cost) + m.fs.discharge.cap_cost_eq = pyo.Constraint( + rule=solar_cap_cost_rule) + + calculate_variable_from_constraint( + m.fs.discharge.capital_cost, + m.fs.discharge.cap_cost_eq) + + ########################################################################### + # Add operating cost + ########################################################################### + m.fs.discharge.operating_hours = pyo.Expression( + expr=365 * 3600 * m.fs.discharge.hours_per_day, + doc="Number of operating hours per year") + m.fs.discharge.operating_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e11), + doc="Operating cost in $/year") + + def op_cost_rule(b): + return m.fs.discharge.operating_cost == ( + m.fs.discharge.operating_hours * + m.fs.discharge.coal_price * + m.fs.coal_heat_duty * 1e6 + ) + m.fs.discharge.op_cost_eq = pyo.Constraint(rule=op_cost_rule) + + # Initialize operating cost + calculate_variable_from_constraint( + m.fs.discharge.operating_cost, + m.fs.discharge.op_cost_eq) + + # Check and raise an error if the degrees of freedom are not 0 + if not degrees_of_freedom(m) == 0: + raise ConfigurationError( + "The degrees of freedom after building costing block are not 0. " + "You have {} degrees of freedom. " + "Please check your inputs to ensure a square problem " + "before initializing the model.".format(degrees_of_freedom(m)) + ) + + # Solve cost initialization + + # Add options to GDPopt + m_init = m.clone() + m_init_var_names = [v for v in m_init.component_data_objects(Var)] + m_orig_var_names = [v for v in m.component_data_objects(Var)] + + TransformationFactory("gdp.fix_disjuncts").apply_to(m_init) + + # Check and raise an error if the degrees of freedom are not 0 + if not degrees_of_freedom(m_init) == 0: + raise ConfigurationError( + "The degrees of freedom after building the model are not 0. " + "You have {} degrees of freedom. " + "Please check your inputs to ensure a square problem " + "before initializing the model.".format(degrees_of_freedom(m)) + ) + + # Solve initialization + # Add options to NLP solver + optarg = {"tol": 1e-8, + "max_iter": 300} + cost_results = solver.solve(m_init, options=optarg) + print("Cost pre-initialization solver termination = ", + cost_results.solver.termination_condition) + + for v1, v2 in zip(m_init_var_names, m_orig_var_names): + v2.value == v1.value + print() + print("Cost initialization solver termination:", + cost_results.solver.termination_condition) + print("******************** Costing Initialized *************************") + print() + print() + + +def add_bounds(m, power_max=None): + """Add bounds to all units in discharge model + + """ + + m.flow_max = m.main_flow * 3 # Units in mol/s + m.storage_flow_max = 0.2 * m.flow_max # Units in mol/s + m.salt_flow_max = 1000 # Units in kg/s + m.heat_duty_bound = 200e6 # Units in MW + m.power_max = power_max # Units in MW + + # Add bounds to Solar salt discharge heat exchanger + for hxd in [m.fs.discharge.hxd]: + hxd.tube_inlet.flow_mol.setlb(0) + hxd.tube_inlet.flow_mol.setub(m.storage_flow_max) + hxd.shell_inlet.flow_mass.setlb(0) + hxd.shell_inlet.flow_mass.setub(m.salt_flow_max) + hxd.tube_outlet.flow_mol.setlb(0) + hxd.tube_outlet.flow_mol.setub(m.storage_flow_max) + hxd.shell_outlet.flow_mass.setlb(0) + hxd.shell_outlet.flow_mass.setub(m.salt_flow_max) + hxd.shell_inlet.pressure.setlb(101320) + hxd.shell_inlet.pressure.setub(101330) + hxd.shell_outlet.pressure.setlb(101320) + hxd.shell_outlet.pressure.setub(101330) + hxd.heat_duty.setlb(0) + hxd.heat_duty.setub(m.heat_duty_bound) + hxd.shell.heat.setlb(-m.heat_duty_bound) + hxd.shell.heat.setub(0) + hxd.tube.heat.setlb(0) + hxd.tube.heat.setub(m.heat_duty_bound) + hxd.shell.properties_in[0].enth_mass.setlb(0) + hxd.shell.properties_in[0].enth_mass.setub(1.5e6) + hxd.shell.properties_out[0].enth_mass.setlb(0) + hxd.shell.properties_out[0].enth_mass.setub(1.5e6) + hxd.overall_heat_transfer_coefficient.setlb(0) + hxd.overall_heat_transfer_coefficient.setub(10000) + hxd.area.setlb(0) + hxd.area.setub(5000) + hxd.costing.pressure_factor.setlb(0) + hxd.costing.pressure_factor.setub(1e5) + hxd.costing.capital_cost.setlb(0) + hxd.costing.capital_cost.setub(1e7) + hxd.costing.base_cost_per_unit.setlb(0) + hxd.costing.base_cost_per_unit.setub(1e6) + hxd.costing.material_factor.setlb(0) + hxd.costing.material_factor.setub(10) + hxd.delta_temperature_in.setlb(10) + hxd.delta_temperature_out.setlb(9) + hxd.delta_temperature_in.setub(298) + hxd.delta_temperature_out.setub(500) + + # Add bounds needed in units declared in condensate source + # disjunction + for split in [m.fs.discharge.es_split]: + split.inlet.flow_mol[:].setlb(0) + split.inlet.flow_mol[:].setub(m.flow_max) + split.to_hxd.flow_mol[:].setlb(0) + split.to_hxd.flow_mol[:].setub(m.storage_flow_max) + split.to_fwh.flow_mol[:].setlb(0) + split.to_fwh.flow_mol[:].setub(m.flow_max) + split.split_fraction[0.0, "to_hxd"].setlb(0) + split.split_fraction[0.0, "to_hxd"].setub(1) + split.split_fraction[0.0, "to_fwh"].setlb(0) + split.split_fraction[0.0, "to_fwh"].setub(1) + + # m.fs.plant_power_out[0].setlb(300) + # m.fs.plant_power_out[0].setub(m.power_max) + + # m.fs.turbine_splitter[6].split_fraction[0.0, "outlet_3"].setlb(0) + # m.fs.turbine_splitter[6].split_fraction[0.0, "outlet_3"].setub(1) + m.fs.turbine_splitter[6].outlet_3.flow_mol.setlb(0) + m.fs.turbine_splitter[6].outlet_3.flow_mol.setub(m.flow_max) + + for unit_k in [m.fs.booster]: + unit_k.inlet.flow_mol[:].setlb(0) + unit_k.inlet.flow_mol[:].setub(m.flow_max) + unit_k.outlet.flow_mol[:].setlb(0) + unit_k.outlet.flow_mol[:].setub(m.flow_max) + + for unit_k in [m.fs.discharge.iplp_source_disjunct.es_turbine]: + unit_k.inlet.flow_mol[:].setlb(0) + unit_k.inlet.flow_mol[:].setub(m.storage_flow_max) + unit_k.outlet.flow_mol[:].setlb(0) + unit_k.outlet.flow_mol[:].setub(m.storage_flow_max) + + # unit_k.inlet.pressure[:].setlb(0) + # unit_k.inlet.pressure[:].setub(1e12) + # unit_k.outlet.pressure[:].setlb(0) + # unit_k.outlet.pressure[:].setub(1e12) + # unit_k.ratioP[:].setlb(0) + # unit_k.ratioP[:].setub(1e12) + + for unit_k in [m.fs.ccs_reboiler]: + unit_k.inlet.flow_mol[:].setlb(0) + unit_k.inlet.flow_mol[:].setub(m.flow_max) + unit_k.outlet.flow_mol[:].setlb(0) + unit_k.outlet.flow_mol[:].setub(m.flow_max) + + for k in m.set_turbine: + m.fs.turbine[k].work.setlb(-1e10) + m.fs.turbine[k].work.setub(0) + + for unit_k in [m.fs.discharge.iplp_source_disjunct.es_turbine]: + unit_k.inlet.flow_mol[:].setlb(20) + unit_k.inlet.flow_mol[:].setub(m.storage_flow_max) + unit_k.outlet.flow_mol[:].setlb(20) + unit_k.outlet.flow_mol[:].setub(m.storage_flow_max) + + unit_k.control_volume.work[:].setub(0) + unit_k.control_volume.work[:].setlb(-1e8) + # unit_k.inlet.pressure[:].setlb(0) + # unit_k.inlet.pressure[:].setub(1e12) + # unit_k.outlet.pressure[:].setlb(0) + # unit_k.outlet.pressure[:].setub(1e12) + unit_k.deltaP[:].setlb(0) + unit_k.deltaP[:].setub(1e12) + + for split1 in [m.fs.discharge.iplp_source_disjunct.ccs_split]: + split1.inlet.flow_mol[:].setlb(0) + split1.inlet.flow_mol[:].setub(m.flow_max) + split1.to_ccs.flow_mol[:].setlb(0) + split1.to_ccs.flow_mol[:].setub(m.flow_max) + split1.to_turb.flow_mol[:].setlb(0) + split1.to_turb.flow_mol[:].setub(m.flow_max) + split1.split_fraction[0.0, "to_ccs"].setlb(0) + split1.split_fraction[0.0, "to_ccs"].setub(1) + split1.split_fraction[0.0, "to_turb"].setlb(0) + split1.split_fraction[0.0, "to_turb"].setub(1) + + # for split1 in [m.fs.discharge.iplp_source_disjunct.bfpt_split]: + # split1.inlet.flow_mol[:].setlb(0) + # split1.inlet.flow_mol[:].setub(m.flow_max) + # split1.to_ccs.flow_mol[:].setlb(0) + # split1.to_ccs.flow_mol[:].setub(m.flow_max) + # split1.to_bfpt.flow_mol[:].setlb(0) + # split1.to_bfpt.flow_mol[:].setub(m.flow_max) + # split1.split_fraction[0.0, "to_ccs"].setlb(0) + # split1.split_fraction[0.0, "to_ccs"].setub(1) + # split1.split_fraction[0.0, "to_bfpt"].setlb(0) + # split1.split_fraction[0.0, "to_bfpt"].setub(1) + + # for split2 in [m.fs.discharge.hxd_source_disjunct.ccs_split]: + # split2.inlet.flow_mol[:].setlb(0) + # split2.inlet.flow_mol[:].setub(m.storage_flow_max) + # split2.to_ccs.flow_mol[:].setlb(0) + # split2.to_ccs.flow_mol[:].setub(m.storage_flow_max) + # split2.to_esturb.flow_mol[:].setlb(0) + # split2.to_esturb.flow_mol[:].setub(m.storage_flow_max) + # split2.split_fraction[0.0, "to_ccs"].setlb(0) + # split2.split_fraction[0.0, "to_ccs"].setub(1) + # split2.split_fraction[0.0, "to_esturb"].setlb(0) + # split2.split_fraction[0.0, "to_esturb"].setub(1) + + +def main(m_usc, solver=None, optarg=None): + + # Add boiler and cycle efficiencies to the model + add_efficiency = True + + # Add maximum power produced by power plant in MW. For this + # analysis, the maximum power is fixed to 436 MW + power_max = 436 + + # Create a flowsheet, add properties, unit models, and arcs + m = create_discharge_model(m_usc, + add_efficiency=add_efficiency, + power_max=power_max) + + # Give all the required inputs to the model + set_model_input(m) + + # Add scaling factor + set_scaling_factors(m) + + # Initialize the model with a sequential initialization + initialize(m, solver=solver, optarg=optarg) + + # Add cost correlations + build_costing(m, solver=solver) + + # Unfix disjuncts after initialization + m.fs.discharge.condpump_source_disjunct.indicator_var.unfix() + m.fs.discharge.fwh4_source_disjunct.indicator_var.unfix() + m.fs.discharge.booster_source_disjunct.indicator_var.unfix() + m.fs.discharge.bfp_source_disjunct.indicator_var.unfix() + m.fs.discharge.fwh9_source_disjunct.indicator_var.unfix() + + m.fs.discharge.iplp_source_disjunct.indicator_var.unfix() + m.fs.discharge.hxd_source_disjunct.indicator_var.unfix() + + # Add bounds + add_bounds(m, power_max=power_max) + + # Disconnect arcs to include discharge storage system + disconnect_arcs(m) + + # Add disjunction + add_disjunction(m) + + return m + + +def print_model(_, nlp_model, nlp_data): + """Print the disjunction selected during the solution of the NLP + subproblem + + """ + + nlp = nlp_model.fs.discharge + print(' ___________________________________________') + print(' Disjunction 1:') + if nlp.condpump_source_disjunct.binary_indicator_var.value == 1: + print(' Condensate from condenser pump is selected') + elif nlp.booster_source_disjunct.binary_indicator_var.value == 1: + print(' Condensate from booster pump is selected') + elif nlp.bfp_source_disjunct.binary_indicator_var.value == 1: + print(' Condensate from boiler feed pump is selected') + elif nlp.fwh9_source_disjunct.binary_indicator_var.value == 1: + print(' Condensate from FWH9 is selected') + elif nlp.fwh4_source_disjunct.binary_indicator_var.value == 1: + print(' Condensate from FWH4 is selected') + else: + print(' Error: There are no more alternatives') + print(' ___________________________________________') + print(' Disjunction 2:') + if nlp.iplp_source_disjunct.binary_indicator_var.value == 1: + print(' CCS Steam from IP LP crossover is selected') + elif nlp.hxd_source_disjunct.binary_indicator_var.value == 1: + print(' CCS Steam from HXD is selected') + else: + print(' Error: There are no more alternatives') + print(' ___________________________________________') + print() + + +def run_nlps(m, + solver=None, + fluid=None, + source=None): + """This function fixes the indicator variables of the disjuncts so to + solve NLP problems + + """ + + # Disjunction 1 for the water source selection + if fluid == "cond_pump": + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(1) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(0) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(0) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(0) + elif fluid == "fwh4": + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(1) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(0) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(0) + elif fluid == "booster": + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(0) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(1) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(0) + elif fluid == "bfp": + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(0) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(0) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(1) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(0) + elif fluid == "fwh9": + m.fs.discharge.condpump_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh4_source_disjunct.indicator_var.fix(0) + m.fs.discharge.booster_source_disjunct.indicator_var.fix(0) + m.fs.discharge.bfp_source_disjunct.indicator_var.fix(0) + m.fs.discharge.fwh9_source_disjunct.indicator_var.fix(1) + else: + print('Unrecognized storage fluid name!') + + # Disjunction 2 for the ccs source selection + if source == "iplp": + m.fs.discharge.iplp_source_disjunct.indicator_var.fix(1) + m.fs.discharge.hxd_source_disjunct.indicator_var.fix(0) + elif source == "hxd": + m.fs.discharge.iplp_source_disjunct.indicator_var.fix(0) + m.fs.discharge.hxd_source_disjunct.indicator_var.fix(1) + else: + print('Unrecognized source unit name!') + + TransformationFactory('gdp.fix_disjuncts').apply_to(m) + print("The degrees of freedom after gdp transformation ", + degrees_of_freedom(m)) + + results = solver.solve( + m, + tee=True, + symbolic_solver_labels=True, + options={ + "linear_solver": "ma27", + "max_iter": 150 + } + ) + log_close_to_bounds(m) + + + return m, results + +def run_gdp(m): + """Declare solver GDPopt and its options + """ + + # Add options to GDPopt + opt = SolverFactory('gdpopt') + _prop_bnds_root_to_leaf_map[ExternalFunctionExpression] = lambda x, y, z: None + + # Solve model + results = opt.solve( + m, + tee=True, + algorithm='LOA', + init_algorithm="no_init", + subproblem_presolve=False, + mip_solver='gurobi', + nlp_solver='ipopt', + call_after_subproblem_solve=print_model, + nlp_solver_args=dict( + tee=True, + options={ + "max_iter": 150} + ) + ) + + return results + + +def print_results(m, results): + + print('====================================================') + print('Results ') + print() + print('Obj (M$/year): {:.2f}'.format( + (pyo.value(m.obj) / scaling_obj) * 1e-6)) + print('Discharge capital cost (M$/y): {:.2f}'.format( + pyo.value(m.fs.discharge.capital_cost) * 1e-6)) + print('Net Power (MW): {:.2f}'.format( + pyo.value(m.fs.net_power))) + print('Plant Power (MW): {:.2f}'.format( + pyo.value(m.fs.plant_power_out[0]))) + print('Discharge Turbine Power (MW): {:.2f}'.format( + pyo.value(m.fs.discharge.iplp_source_disjunct.es_turbine.control_volume.work[0]) * (-1e-6))) + print('Boiler Efficiency (%): {:.2f}'.format( + pyo.value(m.fs.boiler_efficiency) * 100)) + print('Boiler Steam Flow: {:.2f}'.format( + pyo.value(m.fs.boiler.inlet.flow_mol[0]))) + print('Makeup Water Flow: {:.2f}'.format( + pyo.value(m.fs.condenser_mix.makeup.flow_mol[0]))) + print('CCS Reboiler Steam Flow: {:.2f}'.format( + pyo.value(m.fs.ccs_reboiler.inlet.flow_mol[0]))) + print('Flue Gas Flow: {:.2f}'.format( + pyo.value(m.fs.fg_flow_mol[0]))) + print('CO2 captured: {:.2f}'.format( + pyo.value(m.fs.co2_captured))) + print('CCS Inlet Steam Temperature: {:.2f}'.format( + pyo.value(m.fs.ccs_reboiler.control_volume.properties_in[0].temperature))) + print('CCS Outlet Steam Temperature: {:.2f}'.format( + pyo.value(m.fs.ccs_reboiler.control_volume.properties_out[0].temperature))) + print('HXD Inlet Water Temperature: {:.2f}'.format( + pyo.value(m.fs.discharge.hxd.cold_side.properties_in[0].temperature))) + print('HXD Outlet Water Temperature: {:.2f}'.format( + pyo.value(m.fs.discharge.hxd.cold_side.properties_out[0].temperature))) + print() + print("**Discrete design decisions (Disjunction)") + for d in m.component_data_objects(ctype=Disjunct, + active=True, + sort=True, descend_into=True): + if abs(d.binary_indicator_var.value - 1) < 1e-6: + print(d.name, ' should be selected!') + print('Discharge heat exchanger area (m2): {:.2f}'.format( + pyo.value(m.fs.discharge.hxd.area))) + print('Discharge heat exchanger heat duty (MW): {:.2f}'.format( + pyo.value(m.fs.discharge.hxd.heat_duty[0]) * 1e-6)) + print('====================================================') + print() + print('Solver details') + print(results) + print() + + +def add_flugas_calculations(m): + m.fs.co2_mw = Param( + initialize=44.01, + doc='molar weight of CO2 in g/mol' + ) + m.fs.SR = Param( + initialize=1.2, + doc='Stoichiometric ratio used to calculate coal flow rate' + ) + m.fs.coal_LHV = Param( + initialize=29544, + doc='LHV for Illinois no. 6 Bituminous coal from Baseline Rev 4, J/g' + ) + m.fs.carbon_wt = Param( + initialize=0.4972, + doc='Carbon in dry weight basis of the coal from Baseline Rev 4' + ) + m.fs.co2_molefrac = Param( + initialize=0.14, + doc='Mole fraction of CO2 in the flue gas of USC, 1999 DOE report' + ) + m.fs.fg_flow_mol = Var( + m.fs.config.time, + initialize=1000, + bounds=(0, 1e6), + doc='Molar flow rate of flue gas') + + @m.fs.Constraint(m.fs.time, + doc="Mole flow of flue gas constraint") + def eq_fluegas_flow(b, t): + return ( + m.fs.fg_flow_mol[t] * (m.fs.co2_mw * + m.fs.coal_LHV * + m.fs.co2_molefrac) == + (m.fs.carbon_wt * m.fs.SR * (m.fs.reheater[2].heat_duty[t] + + m.fs.reheater[1].heat_duty[t] + + m.fs.boiler.heat_duty[t])) + ) + + return m + +def add_capture_calculations(m): + + m.fs.fg_to_ccs_splitfraction = Var( + m.fs.config.time, + initialize=0.5, + bounds=(0, 1), + doc='Split of total flue gas sent to CCS') + + # m.fs.co2_captured = Var( + # m.fs.config.time, + # initialize=500, + # bounds=(0, 1e5), + # doc='Weight of CO2 captured CCS') + + # A specific reboiler duty of 3 GJ/tonne of CO2 captured is assumed for the + # CCS unit performing at 95% capture rate and using an advanced solvent + # such as Gen2 + # Units: 3 GJ/tonne = 3000 J/g + m.fs.SRD = Param( + initialize=3000, + doc='Specific Reboiler Duty for 95% Capture in J/g CO2 captured' + ) + + m.fs.emission_tax = Param( + initialize=150e-6, + doc='Assumed carbon emission tax of $150/tonne or $150e-6/g of CO2' + ) + + m.fs.ccs_reboiler = Heater( + property_package=m.fs.prop_water, + has_pressure_change=True, + ) + + m.fs.co2_captured = Expression( + expr=(m.fs.co2_molefrac * m.fs.fg_flow_mol[0] + * m.fs.fg_to_ccs_splitfraction[0] * m.fs.co2_mw), + doc="Weight of CO2 captured") + + m.fs.co2_emitted = Expression( + expr=(m.fs.co2_molefrac * m.fs.fg_flow_mol[0] + * (1 - m.fs.fg_to_ccs_splitfraction[0]) * m.fs.co2_mw), + doc="Weight of CO2 captured") + + # @m.fs.Constraint(m.fs.time, + # doc="Weight of CO2 captured") + # def eq_min_co2_captured(b, t): + # return ( + # m.fs.fg_to_ccs_splitfraction[t] >= 0.5) + + @m.fs.Constraint(m.fs.time, + doc="Reboiler heat duty constraint") + def eq_reboiler_heat_duty(b, t): + return ( + m.fs.ccs_reboiler.heat_duty[t] == + -1 * m.fs.co2_captured * m.fs.SRD) + + return m + +def model_analysis(m, heat_duty=None): + """Solve the conceptual design optimization problem + + """ + + # Fix variables in the flowsheet + # m.fs.net_power.fix(400) + m.fs.plant_power_out.fix(400) + m.fs.boiler.outlet.pressure.fix(m.main_steam_pressure) + m.fs.discharge.hxd.heat_duty.fix(heat_duty * 1e6) + + # Unfix variables that were fixed iduring initialization + m.fs.boiler.inlet.flow_mol.unfix() + m.fs.discharge.es_split.split_fraction[0, "to_hxd"].unfix() + m.fs.discharge.es_split.inlet.unfix() + m.fs.discharge.hxd.shell_inlet.flow_mass.unfix() + m.fs.discharge.hxd.area.unfix() + + # m.fs.fg_to_ccs_splitfraction[:].fix(1) + m.fs.fg_to_ccs_splitfraction[:].unfix() + m.fs.ccs_reboiler.inlet.pressure[0].unfix() + m.fs.ccs_reboiler.inlet.enth_mol[0].unfix() + m.fs.ccs_reboiler.inlet.flow_mol[0].unfix() + # m.fs.ccs_reboiler.inlet.enth_mol[0].fix(3000) + # m.fs.ccs_reboiler.outlet.enth_mol[0].unfix() + # m.fs.discharge_power_out.fix(10) + # Add total cost as the objective function + m.obj = Objective( + expr=( + m.fs.discharge.capital_cost + + m.fs.discharge.operating_cost + + m.fs.co2_emitted * m.fs.discharge.operating_hours * m.fs.emission_tax + # - m.fs.net_power * 20 + ) * scaling_obj + ) + + +if __name__ == "__main__": + + # optarg = {"max_iter": 300} + optarg = {"tol": 1e-8, + "max_iter": 300, + "halt_on_ampl_error": "yes"} + solver = get_solver('ipopt', optarg) + + # Build ultra-supercritical plant base model + m_usc = usc.build_plant_model() + + # Initialize ultra-supercritical plant base model + usc.initialize(m_usc) + + # Add boiler fireside + m_usc = add_flugas_calculations(m_usc) + m_usc = add_capture_calculations(m_usc) + + # Build discharge model + m = main(m_usc, solver=solver, optarg=optarg) + + # Solve design model optimization problem + heat_duty_data = 148.5 + model_analysis(m, heat_duty=heat_duty_data) + + # Solve model using GDPopt + print() + print('**********Start solution of GDP discharge model using GDPopt') + print('DOFs before GDP discharge model solution: ', degrees_of_freedom(m)) + print() + # results = run_gdp(m) + + # fluid = "cond_pump" + # fluid = "fwh4" + # fluid = "booster" + fluid = "bfp" + # fluid = "fwh9" + + source = "iplp" + # source = "hxd" + + results = run_nlps(m, + solver=solver, + fluid=fluid, + source=source) + + # Print results + print_results(m, results) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/ultra_supercritical_powerplant_w_ccs.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/ultra_supercritical_powerplant_w_ccs.py new file mode 100644 index 000000000..a0f96809f --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/fe_ccs/ultra_supercritical_powerplant_w_ccs.py @@ -0,0 +1,388 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program +# (DISPATCHES), and is copyright (c) 2021 by the software owners: +# The Regents of the University of California, through Lawrence Berkeley +# National Laboratory, National Technology & Engineering Solutions of Sandia, +# LLC, Alliance for Sustainable Energy, LLC, Battelle Energy Alliance, LLC, +# University of Notre Dame du Lac, et al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and +# license information, respectively. Both files are also available online +# at the URL: "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +""" +This is a simple model for an ultrasupercritical coal-fired power plant +integrated with a boiler fire-side unit model and a CO2 capture system. +The boiler fire-side model accounts for flue-gas generation. +The CO2 capture system uses surrogates for a solvent-based piperazine system. +The capture rate is fixed to 90%. +""" + +from pyomo.network import Arc +from pyomo.environ import TransformationFactory, value +# IDAES Imports +from idaes.core.util.model_statistics import degrees_of_freedom +from idaes.core.util.initialization import propagate_state +from idaes.models_extra.power_generation.unit_models.boiler_fireside import BoilerFireside +from idaes.models.unit_models import Heater, MomentumMixingType +from idaes.core.solvers import get_solver +import idaes.core.util.scaling as iscale +import idaes.logger as idaeslog +from idaes.models_extra.power_generation.unit_models.helm import HelmMixer, HelmSplitter +from idaes.models_extra.power_generation.properties import FlueGasParameterBlock +# Dispatches Imports +from dispatches.case_studies.fossil_case.ultra_supercritical_plant import ( + ultra_supercritical_powerplant as usc) +# from idaes.power_generation.carbon_capture.piperazine_surrogates.\ +# co2_capture_system import CO2Capture +from co2_capture_system import CO2Capture + + +def add_fireside(m): + + m.fs.prop_fluegas = FlueGasParameterBlock() + + boiler_input_dict = {1: '614623556', # replaced later by boiler + 'pl': '126983008', # replaced later by reheater[1] + 'roof': '96959378', # replaced later by reheater[2] + 'flyash': '0.0001', # flyash mass fraction + 'NOx': '140'} # NOx PPM + + m.fs.boiler_fireside = BoilerFireside( + dynamic=False, + property_package=m.fs.prop_fluegas, + calculate_PA_SA_flows=True, + number_of_zones=1, + has_platen_superheater=True, + has_roof_superheater=True, + surrogate_dictionary=boiler_input_dict) + m.fs.boiler_fireside.eq_surr_waterwall_heat.deactivate() + m.fs.boiler_fireside.eq_surr_platen_heat.deactivate() + m.fs.boiler_fireside.eq_surr_roof_heat.deactivate() + + @m.fs.boiler_fireside.Constraint(m.fs.time, + m.fs.boiler_fireside.zones, + doc="Waterwall heat duty") + def eq_main_boiler_heat(b, t, z): + return ( + b.waterwall_heat[t, z] * + b.fcorrection_heat_ww[t] == + m.fs.boiler.heat_duty[0]) + + @m.fs.boiler_fireside.Constraint(m.fs.time, + doc="Reheater heat duty") + def eq_reheater_1_heat(b, t): + return ( + b.platen_heat[t] * + b.fcorrection_heat_platen[t] == + m.fs.reheater[1].heat_duty[0]) + + @m.fs.boiler_fireside.Constraint(m.fs.time, + doc="Additional reheater heat duty") + def eq_reheater_2_heat(b, t): + return ( + b.roof_heat[t] * + b.fcorrection_heat_ww[t] == + m.fs.reheater[2].heat_duty[0]) + + # Fixing Coal composition + m.fs.boiler_fireside.mf_C_coal_dry.fix(0.718471768285811) + m.fs.boiler_fireside.mf_H_coal_dry.fix(0.0507156542319396) + m.fs.boiler_fireside.mf_O_coal_dry.fix(0.0791164206018258) + m.fs.boiler_fireside.mf_N_coal_dry.fix(0.0140876817310943) + m.fs.boiler_fireside.mf_S_coal_dry.fix(0.0282880649160374) + m.fs.boiler_fireside.mf_Ash_coal_dry.fix(0.109320410233292) + m.fs.boiler_fireside.hhv_coal_dry.fix(2.581e+007) + m.fs.boiler_fireside.frac_moisture_vaporized[:].fix(0.6) + m.fs.boiler_fireside.mf_H2O_coal_raw[:].fix(0.111367051) # moisture + m.fs.boiler_fireside.flowrate_coal_raw[:].fix(100.0) # kg/s + + m.fs.boiler_fireside.wall_temperature_waterwall[:, :].fix(690) + m.fs.boiler_fireside.wall_temperature_platen[:].fix(750) + m.fs.boiler_fireside.wall_temperature_roof[:].fix(650) + m.fs.boiler_fireside.fcorrection_heat_ww.fix(0.95) + m.fs.boiler_fireside.fcorrection_heat_platen.fix(0.95) + + # ----------------------------------------------------------- + # Estimates for unit model initialization only + # ----------------------------------------------------------- + # Approximated flue gas = 21290.6999 # mol/s + flow_mol_pa = 21290.6999*0.34 # approx. 1/3 as Primary air + flow_mol_sa = 21290.6999*0.66 # approx. 2/3 as Secondary air + + m.fs.state_args_PA = { + "flow_mol_comp": { + "H2O": 0.0078267*flow_mol_pa, + "CO2": 0.000337339*flow_mol_pa, + "N2": 0.783994*flow_mol_pa, + "O2": 0.20784*flow_mol_pa, + "SO2": 1e-5*flow_mol_pa, + "NO": 1e-5*flow_mol_pa + }, + "temperature": 333.15, + "pressure": 101325.00 + } + + m.fs.state_args_SA = { + "flow_mol_comp": { + "H2O": 0.0078267*flow_mol_sa, + "CO2": 0.000337339*flow_mol_sa, + "N2": 0.783994*flow_mol_sa, + "O2": 0.20784*flow_mol_sa, + "SO2": 1e-5*flow_mol_sa, + "NO": 1e-5*flow_mol_sa + }, + "temperature": 650.15, + "pressure": 101325.00 + } + # ----------------------------------------------------------- + + m.fs.boiler_fireside.primary_air_inlet.pressure[:].fix(101325.00) + m.fs.boiler_fireside.secondary_air_inlet.pressure[:].fix(101325.00) + m.fs.boiler_fireside.primary_air_inlet.temperature[:].fix(333.15) + m.fs.boiler_fireside.secondary_air_inlet.temperature[:].fix(650.15) + m.fs.boiler_fireside.temperature_coal[:].fix(335.15) + m.fs.boiler_fireside.flue_gas_outlet.temperature.setub(5000) + m.fs.boiler_fireside.SR.fix(1.2) + m.fs.boiler_fireside.ratio_PA2coal.fix(2.45) + m.fs.boiler_fireside.SR_lf.fix(1.0) + m.fs.boiler_fireside.deltaP.fix(1000) + return m + + +def add_co2capture(m): + m.fs.co2_capture_unit = CO2Capture() + + # Adding constraints to connect flue_gas_outlet to co2_capture_unit_inlet + # An arc cannot be used because of the fixed components with capture unit + # The following are equality constraints for component flows, pressure, + # and temperature. + m.fg_comp_list = ['CO2', 'H2O', 'N2', 'O2', 'NO', 'SO2'] + m.css_comp_list = ['CO2', 'H2O', 'N2', 'O2'] + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + m.css_comp_list, + doc="Flow equality constraints") + def eq_flow_mol_comp(b, t, c): + return ( + m.fs.boiler_fireside.flue_gas_outlet.flow_mol_comp[t, c] == + m.fs.co2_capture_unit.inlet.flow_mol_comp[t, c]) + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + doc="Fixing Ar flow") + def eq_ar_flow_mol_comp(b, t): + return ( + m.fs.co2_capture_unit.inlet.flow_mol_comp[t, 'Ar'] == 0.0089 * + sum(m.fs.boiler_fireside.flue_gas_outlet.flow_mol_comp[t, c] + for c in m.fg_comp_list)) + + # The Flue gas is assumed to be stripped out of NOx and SOx before capture + # The inlet to the CO2 capture unit the flue gas temperature is at 303.15 K + m.fs.co2_capture_unit.inlet.temperature.fix(303.15) # K + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + doc="Pressure equality constraints") + def eq_pressure(b, t): + return ( + m.fs.boiler_fireside.flue_gas_outlet.pressure[t] == + m.fs.co2_capture_unit.inlet.pressure[t]) + + m.fs.co2_capture_unit.CO2_capture_rate.fix(0.9) # 90 % CO2 Capture + m.fs.co2_capture_unit.Pz_mol.fix(5) + m.fs.co2_capture_unit.lean_loading.fix(0.25) + + # Add a dummy heater block to extract steam for specific reformer duty + m.fs.ccs_reformer = Heater( + dynamic=False, + property_package=m.fs.prop_water, + has_pressure_change=True + ) + # Add a splitter to take the main steam from boiler for CO2 Capture + m.fs.ccs_splitter = HelmSplitter( + property_package=m.fs.prop_water + ) + # Add a mixer to add the ccs exhaust to condenser + m.fs.ccs_mix = HelmMixer( + momentum_mixing_type=MomentumMixingType.minimize, + inlet_list=["bfpt", "ccs"], + property_package=m.fs.prop_water, + ) + + # Add constraint to equate the co2 capture reformer duty with ccs heater + @m.fs.Constraint(m.fs.time, + doc="Reformer duty equality constraint") + def eq_reformerduty(b, t): + return ( + 0 == m.fs.ccs_reformer.heat_duty[t] + + m.fs.co2_capture_unit.reboiler_duty[t]*1e6) + + @m.fs.Constraint(m.fs.time) + def constraint_reformer_out_pressure(b, t): + return ( + b.ccs_reformer.control_volume.properties_out[t].pressure == + b.condenser_mix.main_state[t].pressure + ) + + @m.fs.Constraint(m.fs.time) + def constraint_reformer_out_enthalpy(b, t): + return ( + b.ccs_reformer.control_volume.properties_out[t].enth_mol == + b.ccs_reformer.control_volume.properties_out[t]. + enth_mol_sat_phase["Liq"] + ) + + # Deactivate the connection from boiler to Turbine 1 and add splitter + # Also, deactvate the bfpt outlet to condesner to add a mixer + # for ccs sexhaust steam# + for arc_s in [m.fs.boiler_to_turb1, m.fs.bfpt_to_condmix]: + arc_s.expanded_block.enth_mol_equality.deactivate() + arc_s.expanded_block.flow_mol_equality.deactivate() + arc_s.expanded_block.pressure_equality.deactivate() + + m.fs.boiler_to_ccsplitter = Arc( + source=m.fs.boiler.outlet, + destination=m.fs.ccs_splitter.inlet, + doc="Connection from boiler to ccs splitter" + ) + m.fs.ccsplitter_to_turb1 = Arc( + source=m.fs.ccs_splitter.outlet_1, + destination=m.fs.turbine[1].inlet, + doc="Connection from boiler to ccs splitter" + ) + m.fs.ccsplitter_to_capture = Arc( + source=m.fs.ccs_splitter.outlet_2, + destination=m.fs.ccs_reformer.inlet, + doc="Connection from boiler to ccs splitter" + ) + # add ccs exhaust steam to condenser + m.fs.bfpt_to_ccsmix = Arc( + source=m.fs.bfpt.outlet, + destination=m.fs.ccs_mix.bfpt + ) + m.fs.capture_to_ccsmix = Arc( + source=m.fs.ccs_reformer.outlet, + destination=m.fs.ccs_mix.ccs + ) + m.fs.ccsmix_to_condmix = Arc( + source=m.fs.ccs_mix.outlet, + destination=m.fs.condenser_mix.bfpt + ) + TransformationFactory("network.expand_arcs").apply_to(m.fs) + + return m + + +def initialize_usc_w_capture(m, fileinput=None, outlvl=idaeslog.NOTSET, + solver=None, optarg={}): + + iscale.calculate_scaling_factors(m) + + m.fs.boiler.heat_duty[0].fix() + m.fs.reheater[1].heat_duty[0].fix() + m.fs.reheater[2].heat_duty[0].fix() + + m.fs.boiler_fireside.initialize( + state_args_PA=m.fs.state_args_PA, + state_args_SA=m.fs.state_args_SA) + + m.fs.boiler.heat_duty[0].unfix() + m.fs.reheater[1].heat_duty[0].unfix() + m.fs.reheater[2].heat_duty[0].unfix() + + # The initialize method in CO2Capture unit model fixes inlet state + # and does not unfix it. So, to use the initialize method, the + # constraints are deactivated before initializing and activated later. + # The inlet state is unfixed before activating the constraints. + # TODO: update this section when the initialize method in CO2Capture model + # is updated. + m.fs.co2_capture_unit.eq_flow_mol_comp.deactivate() + m.fs.co2_capture_unit.eq_ar_flow_mol_comp.deactivate() + m.fs.co2_capture_unit.eq_pressure.deactivate() + m.fs.co2_capture_unit.inlet.pressure[:].fix(101325) # Pa (1 atm) + + m.fs.co2_capture_unit.inlet.flow_mol_comp[0, 'CO2'].fix(5328) + m.fs.co2_capture_unit.inlet.flow_mol_comp[0, 'H2O'].fix(3138) + m.fs.co2_capture_unit.inlet.flow_mol_comp[0, 'Ar'].fix(341) + m.fs.co2_capture_unit.inlet.flow_mol_comp[0, 'O2'].fix(1256) + m.fs.co2_capture_unit.inlet.flow_mol_comp[0, 'N2'].fix(28524) + + m.fs.co2_capture_unit.initialize(outlvl=idaeslog.INFO) + + m.fs.co2_capture_unit.inlet.pressure[:].unfix() # Pa (1 atm) + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'CO2'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'O2'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'Ar'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'H2O'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'N2'].unfix() + m.fs.co2_capture_unit.eq_flow_mol_comp.activate() + m.fs.co2_capture_unit.eq_ar_flow_mol_comp.activate() + m.fs.co2_capture_unit.eq_pressure.activate() + + propagate_state(m.fs.boiler_to_ccsplitter) + m.fs.ccs_splitter.split_fraction[:, "outlet_2"].fix(0.24) + m.fs.ccs_splitter.initialize() + m.fs.ccs_splitter.split_fraction[:, "outlet_2"].unfix() + + propagate_state(m.fs.ccsplitter_to_capture) + m.fs.constraint_reformer_out_pressure.deactivate() + m.fs.eq_reformerduty.deactivate() + m.fs.constraint_reformer_out_enthalpy.deactivate() + m.fs.ccs_reformer.heat_duty[0].fix(-853190892.2399481) + m.fs.ccs_reformer.outlet.pressure[:].fix(6000) + m.fs.ccs_reformer.inlet.flow_mol.fix(14541.6) + m.fs.ccs_reformer.initialize() + + m.fs.eq_reformerduty.activate() + m.fs.constraint_reformer_out_pressure.activate() + m.fs.constraint_reformer_out_enthalpy.activate() + m.fs.ccs_reformer.outlet.pressure[:].unfix() + m.fs.ccs_reformer.heat_duty[0].unfix() + m.fs.ccs_reformer.inlet.flow_mol.unfix() + + propagate_state(m.fs.bfpt_to_ccsmix) + propagate_state(m.fs.capture_to_ccsmix) + m.fs.ccs_mix.initialize() + + propagate_state(m.fs.ccsmix_to_condmix) + m.fs.condenser_mix.initialize() + + # Increasing the flow through boiler to account for parasitic power + # required for CO2 capture + m.fs.boiler.inlet.flow_mol.fix(m.main_flow*2.015) + + res = solver.solve(m) + + print("Model Initialization = ", + res.solver.termination_condition) + print("************** USC model w Capture Initialized ***************") + + +def build_usc_w_ccs(solver): + + m = usc.build_plant_model() + usc.initialize(m) + m = add_fireside(m) + m = add_co2capture(m) + assert degrees_of_freedom(m) == 0 + + initialize_usc_w_capture(m, solver=solver) + assert degrees_of_freedom(m) == 0 + + return m + + +if __name__ == "__main__": + + optarg = { + "max_iter": 300, + "halt_on_ampl_error": "yes", + } + solver = get_solver("ipopt", optarg) + + m = build_usc_w_ccs(solver) + + results = solver.solve(m, tee=True) + print('Plant Power (MW) =', value(m.fs.plant_power_out[0])) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/gdp_multiperiod_usc_pricetaker_unfixed_area.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/gdp_multiperiod_usc_pricetaker_unfixed_area.py new file mode 100644 index 000000000..671bfa847 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/gdp_multiperiod_usc_pricetaker_unfixed_area.py @@ -0,0 +1,317 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +"""This script uses the IDAES multiperiod class to create a steady +state GDP multiperiod model for the integrated ultra-supercritical +power plant GDP model. The purpose of this script is to create a GDP +multiperiod model that can be use for market analysis using a +pricetaker assumption. The integrated storage with ultra-supercritical +power plant model is used a steady state model for creating the +multiperiod model. + +""" + +import json + +import pyomo.environ as pyo +from pyomo.environ import units as pyunits +from pyomo.environ import (Constraint, NonNegativeReals, Var) + +from idaes.apps.grid_integration.multiperiod.multiperiod import MultiPeriodModel +from idaes.core.util.model_statistics import degrees_of_freedom +import idaes.core.util.scaling as iscale +from idaes.core.solvers.get_solver import get_solver + + +__author__ = "Soraya Rawlings" + +# Use GDP design for charge and discharge heat exchanger from 4-12 +# disjunctions model when True. If False, use the GDP design from 4-5 +# disjunctions model. +new_design = True + +if new_design: + print('>>>>> Solving for new storage design') + import usc_storage_gdp_mp_unfixed_area_new_storage_design as usc_gdp + # Add design data from .json file + data_path = 'uscp_design_data_new_storage_design.json' +else: + print('>>>>> Solving for original storage design') + import usc_storage_gdp_mp_unfixed_area as usc_gdp + # Add design data from .json file + data_path = 'uscp_design_data.json' + + +with open(data_path) as design_data: + design_data_dict = json.load(design_data) + +min_power = design_data_dict["plant_min_power"] # in MW +max_power = design_data_dict["plant_max_power"] # in MW + + +def create_ss_model(): + + optarg = { + "max_iter": 300, + # "halt_on_ampl_error": "yes", + } + solver = get_solver('ipopt', optarg) + + # Add options to model + deact_arcs_after_init = True # needed for GDP model + method = "with_efficiency" # adds boiler and cycle efficiencies + load_init_file = False + + # Add data from .json data file + cold_salt_temp = design_data_dict["cold_salt_temperature"] # in K + min_storage_heat_duty = design_data_dict["min_storage_heat_duty"] # in MW + max_storage_heat_duty = design_data_dict["max_storage_heat_duty"] # in MW + path_init_file = design_data_dict["gdp_init_file_path"] + + m = pyo.ConcreteModel() + m.usc = usc_gdp.main(method=method, + max_power=max_power, + load_init_file=load_init_file, + path_init_file=path_init_file, + deact_arcs_after_init=deact_arcs_after_init, + solver=solver) + + + # Set bounds for power produced by the plant alone + m.usc.fs.plant_min_power_eq = pyo.Constraint( + expr=m.usc.fs.plant_power_out[0] >= min_power + ) + m.usc.fs.plant_max_power_eq = pyo.Constraint( + expr=m.usc.fs.plant_power_out[0] <= max_power + ) + + # Set bounds in charge and discharge heat exchangers + charge_mode = m.usc.fs.charge_mode_disjunct + discharge_mode = m.usc.fs.discharge_mode_disjunct + hxc_heat_duty = (1e-6) * (pyunits.MW / pyunits.W) * charge_mode.hxc.heat_duty[0] + hxd_heat_duty = (1e-6) * (pyunits.MW / pyunits.W) * discharge_mode.hxd.heat_duty[0] + m.usc.fs.charge_mode_disjunct.storage_heat_duty_lb = pyo.Constraint( + expr=hxc_heat_duty >= min_storage_heat_duty + 40 + ) + m.usc.fs.discharge_mode_disjunct.storage_heat_duty_lb = pyo.Constraint( + expr=hxd_heat_duty >= min_storage_heat_duty + 40 + ) + m.usc.fs.charge_mode_disjunct.storage_heat_duty_ub = pyo.Constraint( + expr=hxc_heat_duty <= max_storage_heat_duty + ) + m.usc.fs.discharge_mode_disjunct.storage_heat_duty_ub = pyo.Constraint( + expr=hxd_heat_duty <= max_storage_heat_duty * (1 - 0.01) + ) + + # Unfix boiler data fixed during initialization + m.usc.fs.boiler.inlet.flow_mol[0].unfix() + + if not deact_arcs_after_init: + m.usc.fs.turbine[3].inlet.unfix() + m.usc.fs.fwh[8].tube_inlet.unfix() + + # Unfix global variables fixed during initialization + m.usc.fs.hx_pump_work.unfix() + m.usc.fs.discharge_turbine_work.unfix() + + # Unfix storage system data. Note that the area of the charge and + # discharge heat exchangers is unfixed and calculated during the + # solution of the model. + # m.usc.fs.fuel_cost.unfix() + m.usc.fs.charge_mode_disjunct.ess_charge_split.split_fraction[0, "to_hxc"].unfix() + m.usc.fs.discharge_mode_disjunct.ess_discharge_split.split_fraction[0, "to_hxd"].unfix() + for salt_hxc in [charge_mode.hxc]: + salt_hxc.shell_inlet.unfix() + salt_hxc.tube_inlet.flow_mass.unfix() + salt_hxc.area.unfix() + + for salt_hxd in [discharge_mode.hxd]: + salt_hxd.tube_inlet.unfix() + salt_hxd.shell_inlet.flow_mass.unfix() + salt_hxd.area.unfix() + + if not new_design: + for unit in [charge_mode.cooler]: + unit.inlet.unfix() + m.usc.fs.charge_mode_disjunct.cooler.outlet.enth_mol[0].unfix() + + # Fix molten salt cold temperature in the discharge heat exchanger. + # charge_mode.hxc.area.fix(hxc_area) + # charge_mode.hxc.outlet_2.temperature[0].fix(hot_salt_temp) + # discharge_mode.hxd.area.fix(hxd_area) + # discharge_mode.hxd.shell_inlet.temperature[0].fix(hot_salt_temp) + discharge_mode.hxd.shell_outlet.temperature[0].fix(cold_salt_temp) + + return m + + +def create_mp_block(): + """Create ultra-supercritical plant model and initialization for each + time period + + """ + + print('>>> Creating USC model and initialization for each time period') + + m = create_ss_model() + b1 = m.usc + + # print('DOFs within mp create 1 =', degrees_of_freedom(m)) + + # Add data for .json data file + ramp_rate = design_data_dict["ramp_rate"] + factor_mton = design_data_dict["factor_mton"] # factor for conversion kg to metric ton + max_power_total = 700 # random high value + + # Add coupling variables + b1.previous_power = pyo.Var( + domain=NonNegativeReals, + initialize=400, + bounds=(min_power, max_power_total), + doc="Previous period power in MW" + ) + + max_inventory = 1e7 * factor_mton # in mton + min_inventory = 75000 * factor_mton # in mton + max_salt_amount = design_data_dict["max_salt_amount"] * factor_mton # in mton + tank_max = max_salt_amount + + b1.previous_salt_inventory_hot = pyo.Var( + domain=NonNegativeReals, + initialize=min_inventory, + bounds=(0, max_inventory), + doc="Hot salt at the beginning of the period in mton" + ) + b1.salt_inventory_hot = pyo.Var( + domain=NonNegativeReals, + initialize=min_inventory, + bounds=(0, max_inventory), + doc="Hot salt inventory at the end of the period in mton" + ) + b1.previous_salt_inventory_cold = pyo.Var( + domain=NonNegativeReals, + initialize=tank_max - min_inventory, + bounds=(0, max_inventory), + doc="Cold salt at the beginning of the period in mton" + ) + b1.salt_inventory_cold = pyo.Var( + domain=NonNegativeReals, + initialize=tank_max - min_inventory, + bounds=(0, max_inventory), + doc="Cold salt inventory at the end of the in mton" + ) + + @b1.fs.Constraint(doc="Plant ramping down constraint") + def constraint_ramp_down(b): + return ( + b1.previous_power - ramp_rate <= + b.plant_power_out[0]) + + @b1.fs.Constraint(doc="Plant ramping up constraint") + def constraint_ramp_up(b): + return ( + b1.previous_power + ramp_rate >= + b.plant_power_out[0]) + + @b1.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_hot(b): + return ( + 1e-3 * b1.salt_inventory_hot == ( + b1.previous_salt_inventory_hot + + (3600 * b.salt_storage) * factor_mton # in mton + ) * 1e-3 + ) + + @b1.fs.Constraint(doc="Maximum salt inventory at any time") + def constraint_salt_inventory(b): + return ( + 1e-3 * b.salt_amount == ( + b1.salt_inventory_hot + + b1.salt_inventory_cold + ) * 1e-3 + ) + + # Scale variables and constraints + # iscale.set_scaling_factor(b1.fs.fuel_cost, 1e-3) + # iscale.set_scaling_factor(b1.fs.plant_fixed_operating_cost, 1e-3) + # iscale.set_scaling_factor(b1.fs.plant_variable_operating_cost, 1e-3) + # # iscale.set_scaling_factor(b1.fs.plant_capital_cost, 1e-3) + + iscale.set_scaling_factor(b1.fs.salt_amount, 1e-3) + iscale.set_scaling_factor(b1.salt_inventory_hot, 1e-3) + iscale.set_scaling_factor(b1.salt_inventory_cold, 1e-3) + iscale.set_scaling_factor(b1.previous_salt_inventory_hot, 1e-3) + iscale.set_scaling_factor(b1.previous_salt_inventory_cold, 1e-3) + # iscale.set_scaling_factor(b1.fs.constraint_salt_inventory_hot, 1e-3) + + # iscale.set_scaling_factor(b1.fs.charge_mode_disjunct.capital_cost, 1e-3) + # iscale.set_scaling_factor(b1.fs.discharge_mode_disjunct.capital_cost, 1e-3) + # iscale.set_scaling_factor(b1.fs.storage_capital_cost, 1e-3) + + # Calculate scaling factors + iscale.calculate_scaling_factors(m) + + return m + + +# The tank level and power output are linked between contiguous time +# periods. +def get_usc_link_variable_pairs(b1, b2): + """ + b1: current time block + b2: next time block + """ + return [ + (b1.usc.salt_inventory_hot, b2.usc.previous_salt_inventory_hot), + (b1.usc.fs.plant_power_out[0], b2.usc.previous_power) + ] + + +# The tank level at the end of the last period must be the same as the +# level at the beginning of the first period and power output must be +# the same as the initial tank level. +def get_usc_periodic_variable_pairs(b1, b2): + """ + b1: final time block + b2: first time block + """ + + return [(b1.usc.salt_inventory_hot, b2.usc.previous_salt_inventory_hot)] + + +# Create the multiperiod model object. You can pass arguments to your +# "process_model_func" for each time period using a dict of dicts as +# shown here. In this case, it is setting up empty dictionaries for +# each time period. +def create_gdp_multiperiod_usc_model(n_time_points=None, pmin=None, pmax=None): + """Create a multiperiod usc_mp cycle object. This object contains a + Pyomo model with a block for each time instance + + n_time_points: Number of time blocks to create + + """ + + multiperiod_usc = MultiPeriodModel( + n_time_points=n_time_points, + process_model_func=create_mp_block, + linking_variable_func=get_usc_link_variable_pairs, + periodic_variable_func=get_usc_periodic_variable_pairs + ) + + # If you have no arguments, you don't actually need to pass in + # anything. NOTE: building the model will initialize each time block + multiperiod_usc.build_multi_period_model() + + return multiperiod_usc diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/pricetaker_with_gdp_multiperiod_integrated_storage_usc.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/pricetaker_with_gdp_multiperiod_integrated_storage_usc.py new file mode 100644 index 000000000..05baf6fea --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/pricetaker_with_gdp_multiperiod_integrated_storage_usc.py @@ -0,0 +1,1080 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +"""This script uses the multiperiod model in the GDP integrated +ultra-supercritical power plant model with energy storage and performs +market analysis using the pricetaker assumption. The electricity +prices or LMP (locational marginal prices) are assumed to not +change. The prices used in this study are obtained from a synthetic +database. + +""" + +__author__ = "Soraya Rawlings" + +import csv +import json +import os +import copy +import numpy as np +import logging + +import pyomo.environ as pyo +from pyomo.environ import (Constraint, Expression, + Var, Objective, + SolverFactory, + value, RangeSet, maximize) +from pyomo.contrib.fbbt.fbbt import _prop_bnds_root_to_leaf_map +from pyomo.core.expr.numeric_expr import ExternalFunctionExpression +from pyomo.util.infeasible import (log_infeasible_constraints, + log_close_to_bounds) + +from idaes.core.solvers.get_solver import get_solver + +from gdp_multiperiod_usc_pricetaker_unfixed_area import create_gdp_multiperiod_usc_model + +# For plots +from matplotlib import pyplot as plt +import matplotlib +matplotlib.rc('font', size=24) +font = {'size':16} +plt.rc('axes', titlesize=24) +plt.rc('font', **font) + + +def _get_lmp(hours_per_day=None, nhours=None): + + # Select lmp source data and scaling factor according to that + use_rts_data = False + if use_rts_data: + use_mod_rts_data = False + else: + use_mod_rts_data = True + + nhigh_lmp = 0 + nlow_lmp = 0 + if use_rts_data: + print('>> Using RTS lmp data') + with open('rts_results_all_prices_base_case.npy', 'rb') as f: + dispatch = np.load(f) + price = np.load(f) + lmp = price[0:nhours].tolist() + elif use_mod_rts_data: + # price = [22.9684, 21.1168, 20.4, 20.419, 0, 0, 200, 200] + price = [ + # 22.9684, 21.1168, 20.4, 20.419, + 52.9684, 21.1168, 10.4, 5.419, + # 20.419, 21.2877, 23.07, 25, + # 18.4634, 0, 0, 0, + 0, 0, 0, 0, + # 19.0342, 23.07, 200, 200, + 200, 200, 200, 200, + ] + max_lmp = max(price) + min_lmp = min(price) + for i in price: + if i >= (max_lmp - 5): + nhigh_lmp += 1 + elif i <= (min_lmp + 5): + nlow_lmp += 1 + print('** {} lmp prices ($/MWh) between [max_lmp, max_lmp - 5]: [{}, {}]'.format( + nhigh_lmp, max_lmp, max_lmp - 5)) + print(' {} lmp prices ($/MWh) between [min_lmp, min_lmp + 5]: [{}, {}]'.format( + nlow_lmp, min_lmp, min_lmp + 5)) + print() + + if len(price) < hours_per_day: + print() + print('**ERROR: I need more LMP data!') + raise Exception + lmp = price + else: + print('>> Using NREL lmp data') + price = np.load("nrel_scenario_average_hourly.npy") + # print(lmp) + + return lmp, nhigh_lmp, nlow_lmp + + +def print_model(solver_obj, + mdl, + mdl_data, + csvfile, + lmp=None, + nweeks=None, + nhours=None, + n_time_points=None): + + # m_iter = mdl_data.master_iteration + m_iter = solver_obj.iteration + + mdl.disjunction1_selection = {} + hot_tank_level_iter = [] + cold_tank_level_iter = [] + boiler_heat_duty_iter = [] + hxc_duty_iter = [] + hxd_duty_iter = [] + + print(' ___________________________________________') + print(' Schedule') + print(' Obj ($): {:.4f}'.format( + (value(mdl.obj) / scaling_cost) / scaling_obj)) + print(' Cycles: {} charge, {} discharge, {} no storage'.format( + sum(mdl.blocks[blk].process.usc.fs.charge_mode_disjunct.binary_indicator_var.value + for blk in mdl.blocks), + sum(mdl.blocks[blk].process.usc.fs.discharge_mode_disjunct.binary_indicator_var.value + for blk in mdl.blocks), + sum(mdl.blocks[blk].process.usc.fs.no_storage_mode_disjunct.binary_indicator_var.value + for blk in mdl.blocks))) + + for blk in mdl.blocks: + blk_process_charge = mdl.blocks[blk].process.usc.fs.charge_mode_disjunct + blk_process_discharge = mdl.blocks[blk].process.usc.fs.discharge_mode_disjunct + blk_process_no_storage = mdl.blocks[blk].process.usc.fs.no_storage_mode_disjunct + if blk_process_charge.binary_indicator_var.value == 1: + print(' Period {}: Charge (HXC: {:.2f} MW, {:.2f} m2)'.format( + blk, + value(blk_process_charge.hxc.heat_duty[0]) * 1e-6, + value(blk_process_charge.hxc.area))) + if blk_process_discharge.binary_indicator_var.value == 1: + print(' Period {}: Discharge (HXD: {:.2f} MW, {:.2f} m2)'.format( + blk, + value(blk_process_discharge.hxd.heat_duty[0]) * 1e-6, + value(blk_process_discharge.hxd.area))) + if blk_process_no_storage.binary_indicator_var.value == 1: + print(' Period {}: No storage'.format(blk)) + + print() + for blk in mdl.blocks: + blk_process = mdl.blocks[blk].process.usc + blk_process_charge = mdl.blocks[blk].process.usc.fs.charge_mode_disjunct + blk_process_discharge = mdl.blocks[blk].process.usc.fs.discharge_mode_disjunct + blk_process_no_storage = mdl.blocks[blk].process.usc.fs.no_storage_mode_disjunct + print(' Time period {} '.format(blk+1)) + print(' Charge: {}'.format( + blk_process_charge.binary_indicator_var.value)) + print(' Discharge: {}'.format( + blk_process_discharge.binary_indicator_var.value)) + print(' No storage: {}'.format( + blk_process_no_storage.binary_indicator_var.value)) + if blk_process_charge.binary_indicator_var.value == 1: + mdl.disjunction1_selection[m_iter] = 'Charge' + print(' HXC area (m2): {:.4f}'.format( + value(blk_process_charge.hxc.area))) + print(' HXC Duty (MW): {:.4f}'.format( + value(blk_process_charge.hxc.heat_duty[0]) * 1e-6)) + print(' HXC Delta temperature in/out (K): {:.4f}/{:.4f}'.format( + value(blk_process_charge.hxc.delta_temperature_in[0]), + value(blk_process_charge.hxc.delta_temperature_out[0]))) + print(' HXC salt temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(blk_process_charge.hxc.tube_inlet.temperature[0]), + value(blk_process_charge.hxc.tube_outlet.temperature[0]))) + print(' Salt flow HXC (kg/s): {:.4f}'.format( + value(blk_process_charge.hxc.tube_outlet.flow_mass[0]))) + print(' HXC steam temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(blk_process_charge.hxc.hot_side.properties_in[0].temperature), + value(blk_process_charge.hxc.hot_side.properties_out[0].temperature) + )) + print(' Steam flow HXC (mol/s): {:.4f}'.format( + value(blk_process_charge.hxc.shell_outlet.flow_mol[0]))) + if not new_design: + print(' Cooling heat duty (MW): {:.4f}'.format( + value(blk_process_charge.cooler.heat_duty[0]) * 1e-6)) + elif blk_process_discharge.binary_indicator_var.value == 1: + mdl.disjunction1_selection[m_iter] = 'Discharge' + print(' HXD area (m2): {:.4f}'.format( + value(blk_process_discharge.hxd.area))) + print(' HXD Duty (MW): {:.4f}'.format( + value(blk_process_discharge.hxd.heat_duty[0]) * 1e-6)) + print(' HXD Delta temperature in/out (K): {:.4f}/{:.4f}'.format( + value(blk_process_discharge.hxd.delta_temperature_in[0]), + value(blk_process_discharge.hxd.delta_temperature_out[0]))) + print(' HXD salt temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(blk_process_discharge.hxd.shell_inlet.temperature[0]), + value(blk_process_discharge.hxd.shell_outlet.temperature[0]))) + print(' Salt flow HXD (kg/s): {:.4f}'.format( + value(blk_process_discharge.hxd.shell_outlet.flow_mass[0]))) + print(' HXD steam temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(blk_process_discharge.hxd.cold_side.properties_in[0].temperature), + value(blk_process_discharge.hxd.cold_side.properties_out[0].temperature) + )) + print(' Steam flow HXD (mol/s): {:.4f}'.format( + value(blk_process_discharge.hxd.tube_outlet.flow_mol[0]))) + print(' ES turbine work (MW): {:.4f}'.format( + value(blk_process_discharge.es_turbine.work_mechanical[0]) * -1e-6)) + elif blk_process_no_storage.binary_indicator_var.value == 1: + mdl.disjunction1_selection[m_iter] = 'No_storage' + print(' Salt flow (kg/s): {:.4f}'.format( + value(blk_process.fs.salt_storage))) + else: + print(' No other operation mode is available!') + print(' Net power: {:.4f}'.format(value(blk_process.fs.net_power))) + print(' Coal heat duty: {:.4f}'.format(value(blk_process.fs.coal_heat_duty))) + print(' Discharge turbine work (MW): {:.4f}'.format( + value(blk_process.fs.discharge_turbine_work))) + if not new_design: + print(' Cooler heat duty: {:.4f}'.format( + value(blk_process.fs.cooler_heat_duty))) + print(' Efficiencies (%): boiler: {:.4f}, cycle: {:.4f}'.format( + value(blk_process.fs.boiler_efficiency) * 100, + value(blk_process.fs.cycle_efficiency) * 100)) + print(' Boiler heat duty: {:.4f}'.format( + value(blk_process.fs.boiler.heat_duty[0]) * 1e-6)) + print(' Boiler flow mol (mol/s): {:.4f}'.format( + value(blk_process.fs.boiler.outlet.flow_mol[0]))) + print(' Salt to storage (kg/s) [mton]: {:.4f} [{:.4f}]'.format( + value(blk_process.fs.salt_storage), + value(blk_process.fs.salt_storage) * 3600 * factor_mton)) + print(' Hot salt inventory (mton): {:.4f}, previous: {:.4f}'.format( + value(blk_process.salt_inventory_hot), + value(blk_process.previous_salt_inventory_hot))) + print(' Makeup water flow (mol/s): {:.4f}'.format( + value(blk_process.fs.condenser_mix.makeup.flow_mol[0]))) + # print(' Revenue (M$/year): {:.4f}'.format( + # value(mdl.blocks[blk].process.revenue))) + # print(' Total op cost ($/h): {:.4f}'.format( + # value(mdl.blocks[blk].process.total_cost))) + print(' Storage cost ($/h): {:.4f}'.format( + value(blk_process.fs.storage_capital_cost))) + print(' Fuel cost ($/h): {:.4f}'.format( + value(blk_process.fs.fuel_cost))) + print(' Plant fixed op cost ($/h): {:.4f}'.format( + value(blk_process.fs.plant_fixed_operating_cost))) + print(' Plant variable op cost ($/h): {:.4f}'.format( + value(blk_process.fs.plant_variable_operating_cost))) + print() + + # Save data for each NLP subproblem and plot results + mdl.objective_val = {} + mdl.boiler_heat_duty_val = {} + mdl.discharge_turbine_work_val = {} + mdl.hxc_area_val = {} + mdl.hxd_area_val = {} + mdl.hot_salt_temp_val = {} + mdl.objective_val[m_iter] = (value(mdl.obj) / scaling_cost) / scaling_obj + mdl.period = blk + mdl.boiler_heat_duty_val[m_iter] = 1e-6 * value(blk_process.fs.boiler.heat_duty[0]) + mdl.discharge_turbine_work_val[m_iter] = value(blk_process.fs.discharge_turbine_work) + mdl.hxc_area_val[m_iter] = value(blk_process_charge.hxc.area) + mdl.hxd_area_val[m_iter] = value(blk_process_discharge.hxd.area) + mdl.hot_salt_temp_val[m_iter] = value(blk_process_charge.hxc.tube_outlet.temperature[0]) + + if save_results: + writer = csv.writer(csvfile) + writer.writerow( + (m_iter, + mdl.period, + mdl.disjunction1_selection[m_iter], + mdl.boiler_heat_duty_val[m_iter], + mdl.discharge_turbine_work_val[m_iter], + mdl.hxc_area_val[m_iter], + mdl.hxd_area_val[m_iter], + mdl.hot_salt_temp_val[m_iter], + mdl.objective_val[m_iter]) + ) + csvfile.flush() + + print(' ___________________________________________') + + hot_tank_level_iter.append( + [(pyo.value(mdl.blocks[i].process.usc.salt_inventory_hot)) # in mton + for i in range(n_time_points)]) + cold_tank_level_iter.append( + [(pyo.value(mdl.blocks[i].process.usc.salt_inventory_cold)) # in mton + for i in range(n_time_points)]) + boiler_heat_duty_iter.append([pyo.value(mdl.blocks[i].process.usc.fs.boiler.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + hxc_duty_iter.append([pyo.value(mdl.blocks[i].process.usc.fs.charge_mode_disjunct.indicator_var) * + pyo.value(mdl.blocks[i].process.usc.fs.charge_mode_disjunct.hxc.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + hxd_duty_iter.append([pyo.value(mdl.blocks[i].process.usc.fs.discharge_mode_disjunct.indicator_var) * + pyo.value(mdl.blocks[i].process.usc.fs.discharge_mode_disjunct.hxd.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + + # Save list of colors to be used in plots + c = ['darkred', 'midnightblue', 'tab:green', 'k', 'gray'] + + # Save and convert array to list to include values at time zero + hours = np.arange(n_time_points * nweeks) + lmp_array = np.asarray(lmp[0:n_time_points]) + hot_tank_array = np.asarray(hot_tank_level_iter[0:nweeks]).flatten() + cold_tank_array = np.asarray(cold_tank_level_iter[0:nweeks]).flatten() + hot_tank_array0 = value(mdl.blocks[0].process.usc.previous_salt_inventory_hot) + cold_tank_array0 = value(mdl.blocks[0].process.usc.previous_salt_inventory_cold) + hours_list = hours.tolist() + [nhours] + hot_tank_list = [hot_tank_array0] + hot_tank_array.tolist() + cold_tank_list = [cold_tank_array0] + cold_tank_array.tolist() + hxc_array = np.asarray(hxc_duty_iter[0:nweeks]).flatten() + hxd_array = np.asarray(hxd_duty_iter[0:nweeks]).flatten() + hxc_duty_list = [0] + hxc_array.tolist() + hxd_duty_list = [0] + hxd_array.tolist() + boiler_heat_duty_array = np.asarray(boiler_heat_duty_iter[0:nweeks]).flatten() + boiler_heat_duty_list = [0] + boiler_heat_duty_array.tolist() + + # Plot salt tank profiles and heat duty of boiler and storage heat + # exchangers at each master iteration. + fig1, ax1 = plt.subplots(figsize=(12, 8)) + ax1.set_xlabel('Time Period (hr)') + ax1.set_ylabel('Salt Amount (metric ton)', color=c[3]) + ax1.spines["top"].set_visible(False) + ax1.spines["right"].set_visible(False) + ax1.grid(linestyle=':', which='both', color=c[4], alpha=0.40) + # ax1.set_ylim((0, 7000)) + plt.axhline(tank_max, ls=':', lw=1.5, color=c[4]) + ax1.step(hours_list, hot_tank_list, marker='o', ms=8, lw=1.5, color=c[0], alpha=0.85, + label='Hot Tank') + ax1.fill_between(hours_list, hot_tank_list, step="pre", color=c[0], alpha=0.35) + ax1.step(hours_list, cold_tank_list, marker='o', ms=8, lw=1.5, color=c[1], alpha=0.65, + label='Cold Tank') + ax1.fill_between(hours_list, cold_tank_list, step="pre", color=c[1], alpha=0.10) + ax1.legend(loc="upper left", frameon=False) + ax1.tick_params(axis='y') + ax1.set_xticks(np.arange(0, n_time_points*nweeks + 1, step=1)) + ax2 = ax1.twinx() + ax2.set_ylim((-25, 225)) + ax2.set_ylabel('Locational Marginal Price ($/MWh)', color=c[2]) + ax2.step([x + 1 for x in hours], lmp_array, marker='o', ms=8, alpha=0.5, ls='-', lw=1.5, color=c[2]) + ax2.tick_params(axis='y', labelcolor=c[2]) + plt.savefig('results/gdp_mp_unfixed_area_{}h/salt_tank_level_master_iter{}.png'.format( + nhours, m_iter)) + plt.close(fig1) + + fig2, ax3 = plt.subplots(figsize=(12, 8)) + ax3.set_xlabel('Time Period (hr)') + ax3.set_ylabel('Heat Duty (MW)', color=c[3]) + ax3.spines["top"].set_visible(False) + ax3.spines["right"].set_visible(False) + ax3.grid(linestyle=':', which='both', color=c[4], alpha=0.40) + ax3.set_ylim((-25, 825)) + ax3.step(hours_list, boiler_heat_duty_list, marker='o', ms=8, ls='-', lw=1.5, alpha=0.55, color=c[3], + label='Boiler') + ax3.fill_between(hours_list, boiler_heat_duty_list, step="pre", color=c[3], alpha=0.15) + plt.axhline(max_storage_heat_duty, ls=':', lw=1.5, color=c[4]) + plt.axhline(min_storage_heat_duty, ls=':', lw=1.5, color=c[4]) + ax3.step(hours_list, hxc_duty_list, marker='o', ms=8, color=c[0], alpha=0.75, + label='Charge') + ax3.fill_between(hours_list, hxc_duty_list, step="pre", color=c[0], alpha=0.25) + ax3.step(hours_list, hxd_duty_list, marker='o', ms=8, color=c[1], alpha=0.75, + label='Discharge') + ax3.fill_between(hours_list, hxd_duty_list, step="pre", color=c[1], alpha=0.25) + ax3.legend(loc="center right", frameon=False) + ax3.tick_params(axis='y') + ax3.set_xticks(np.arange(0, n_time_points*nweeks + 1, step=1)) + ax4 = ax3.twinx() + ax4.set_ylim((-25, 225)) + ax4.set_ylabel('Locational Marginal Price ($/MWh)', color=c[2]) + ax4.step([x + 1 for x in hours], lmp_array, marker='o', ms=8, alpha=0.7, ls='-', lw=1.5, color=c[2]) + ax4.tick_params(axis='y', labelcolor=c[2]) + plt.savefig('results/gdp_mp_unfixed_area_{}h/heat_duty_master_iter{}.png'.format( + nhours, m_iter)) + plt.close(fig2) + + log_close_to_bounds(mdl) + log_infeasible_constraints(mdl) + + +def create_csv_header(nhours): + + csvfile = open('results/gdp_mp_unfixed_area_{}h/results_subnlps_master_iter.csv'.format(nhours), + 'w', newline='') + writer = csv.writer(csvfile) + writer.writerow( + ('Iteration', + 'TimePeriod(hr)', + 'OperationMode', + 'BoilerHeatDuty(MW)', + 'DischargeWork(MW)', + 'HXCArea', + 'HXDArea', + 'SaltHotTemp', + 'Obj($/hr)') + ) + return csvfile + + +def run_pricetaker_analysis(hours_per_day=None, + nhours=None, + ndays=None, + nweeks=None, + n_time_points=None, + pmin=None, + tank_status=None, + tank_min=None, + tank_max=None): + + # Get LMP data + lmp, nhigh_lmp, nlow_lmp = _get_lmp(hours_per_day=hours_per_day, nhours=nhours) + + # Create the multiperiod model object. You can pass arguments to + # the "process_model_func" for each time period using a dict of + # dicts as shown here. In this case, it is setting up empty + # dictionaries for each time period. + gdp_multiperiod_usc = create_gdp_multiperiod_usc_model( + n_time_points=n_time_points, + pmin=pmin, + pmax=None + ) + + # Retrieve pyomo model and active process blocks + m = gdp_multiperiod_usc.pyomo_model + blks = gdp_multiperiod_usc.get_active_process_blocks() + + ################################################################## + # Add nonanticipativity constraints + ################################################################## + m.hours_set = RangeSet(0, nhours - 1) + m.hours_set2 = RangeSet(0, nhours - 2) + + # Add constraint to save calculate charge and discharge area in a + # global variable + @m.Constraint(m.hours_set2) + def constraint_charge_previous_area(b, h): + return ( + b.blocks[h + 1].process.usc.fs.charge_area == + b.blocks[h].process.usc.fs.charge_area + ) + + @m.Constraint(m.hours_set2) + def constraint_discharge_previous_area(b, h): + return ( + b.blocks[h + 1].process.usc.fs.discharge_area == + b.blocks[h].process.usc.fs.discharge_area + ) + + # @m.Constraint(m.hours_set) + # def constraint_charge_area_lb(b, h): + # return ( + # b.blocks[h].process.usc.fs.charge_area >= 1000 + # ) + # @m.Constraint(m.hours_set) + # def constraint_discharge_area_lb(b, h): + # return ( + # b.blocks[h].process.usc.fs.discharge_area >= 1000 + # ) + + # Declare constraint to ensure that the discharge heat exchanger + # has the same temperature for the hot salt than the one obtained + # during charge cycle. + @m.Constraint(m.hours_set) + def constraint_discharge_hot_salt_temperature(b, h): + return ( + b.blocks[h].process.usc.fs.discharge_mode_disjunct.hxd.shell_inlet.temperature[0] == + b.blocks[h].process.usc.fs.hot_salt_temp + ) + + ################################################################## + # Add logical constraints + ################################################################## + discharge_min_salt = 379 # in mton, 8MW min es turbine + # discharge_min_salt = 1 # in mton, 8MW min es turbine + min_hot_salt = 2000 + @m.Constraint(m.hours_set) + def _constraint_no_discharge_with_min_hot_tank(b, h): + if h <= 2: + a = min_hot_salt + else: + a = discharge_min_salt + return ( + (b.blocks[h].process.usc.fs.discharge_mode_disjunct.binary_indicator_var * a) <= + blks[h].usc.previous_salt_inventory_hot + ) + + # Add a minimum number of charge, discharge, and no storage + # operation modes. Note: For charge, the minimum number of cycles + # is based on the number of low lmp values obtained above, while + # for discharge, the minimum number of cycles is based on the + # number of high lmp values. + @m.Constraint() + def _constraint_min_charge(b): + return sum(b.blocks[h].process.usc.fs.charge_mode_disjunct.binary_indicator_var + for h in b.hours_set) >= nlow_lmp + @m.Constraint() + def _constraint_min_discharge(b): + return sum(b.blocks[h].process.usc.fs.discharge_mode_disjunct.binary_indicator_var + for h in b.hours_set) >= nhigh_lmp - 1 + # @m.Constraint() + # def _constraint_min_no_storage(b): + # return sum(b.blocks[h].process.usc.fs.no_storage_mode_disjunct.binary_indicator_var + # for h in b.hours_set) >= 1 + + + # if tank_status == "hot_empty": + # # Add logical constraint to help reduce the alternatives to explore + # # when periodic behavior is expected + # @m.Constraint() + # def _logic_constraint_no_discharge_time0(b): + # return b.blocks[0].process.usc.fs.discharge_mode_disjunct.binary_indicator_var == 0 + # @m.Constraint() + # def _logic_constraint_no_charge_at_timen(b): + # return ( + # (b.blocks[0].process.usc.fs.charge_mode_disjunct.binary_indicator_var + # + b.blocks[nhours - 1].process.usc.fs.charge_mode_disjunct.binary_indicator_var) <= 1 + # ) + # # @m.Constraint() + # # def _logic_constraint_no_storage_time0_no_charge_at_timen(m): + # # return ( + # # (m.blocks[0].process.usc.fs.no_storage_mode_disjunct.binary_indicator_var + # # + m.blocks[nhours - 1].process.usc.fs.charge_mode_disjunct.binary_indicator_var) <= 1 + # # ) + # elif tank_status == "hot_full": + # @m.Constraint() + # def _logic_constraint_no_discharge_at_timen(m): + # return ( + # (m.blocks[0].process.usc.fs.discharge_mode_disjunct.binary_indicator_var + # + m.blocks[nhours - 1].process.usc.fs.discharge_mode_disjunct.binary_indicator_var) <= 1 + # ) + + # Add lmp market data for each block + count = 0 + for blk in blks: + blk.revenue = pyo.Expression( + expr=(lmp[count] * blk.usc.fs.net_power) + ) + + # # Add expression to calculate total operating costs. Note that + # # these costs are scaled using a scaling cost factor + # blk.total_cost = pyo.Expression( + # expr=( + # blk.usc.fs.fuel_cost + + # blk.usc.fs.plant_fixed_operating_cost + + # blk.usc.fs.plant_variable_operating_cost + + # blk.usc.fs.storage_capital_cost + # ) + # ) + + # # Declare expression to calculate the total profit. All the + # # costs are in $ per hour + # blk.profit = pyo.Expression( + # expr=( + # blk.revenue - + # blk.total_cost + # # (lmp[count] * blk.usc.fs.net_power) - + # # ( + # # blk.usc.fs.fuel_cost + + # # blk.usc.fs.plant_fixed_operating_cost + + # # blk.usc.fs.plant_variable_operating_cost + + # # blk.usc.fs.storage_capital_cost + # # ) + # ) * scaling_cost + # ) + count += 1 + + # m.obj = pyo.Objective( + # expr=sum([blk.profit for blk in blks]) * scaling_obj, + # sense=maximize + # ) + m.obj = pyo.Objective( + expr=sum( + [blk.revenue - + (blk.usc.fs.fuel_cost + + blk.usc.fs.plant_fixed_operating_cost + + blk.usc.fs.plant_variable_operating_cost) - + blk.usc.fs.storage_capital_cost + for blk in blks] + ) * scaling_obj, + sense=maximize + ) + + # Initial state for linking variables: power and salt + # tank. Different tank scenarios are included for the Solar salt + # tank levels and the previous tank level of the tank is based on + # that. + if tank_status == "hot_empty": + blks[0].usc.previous_salt_inventory_hot.fix(tank_min) + blks[0].usc.previous_salt_inventory_cold.fix(tank_max-tank_min) + elif tank_status == "hot_half_full": + blks[0].usc.previous_salt_inventory_hot.fix(tank_max/2) + blks[0].usc.previous_salt_inventory_cold.fix(tank_max/2) + elif tank_status == "hot_full": + blks[0].usc.previous_salt_inventory_hot.fix(tank_max-tank_min) + blks[0].usc.previous_salt_inventory_cold.fix(tank_min) + else: + print("Unrecognized scenario! Try hot_empty, hot_full, or hot_half_full") + + blks[0].usc.previous_power.fix(447.66) + + # Initialize disjunctions + print() + print() + print('>>Initializing disjuncts') + if tank_status == "hot_empty": + for k in range(nhours): + # if k <= (nhours / 3) - 1: + # blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(0) + # blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + # blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(1) + # elif k <= 2 * (nhours / 3) - 1: + # blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(1) + # blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + # blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + if k <= (nhours / 2) - 1: + blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(1) + blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + # if k >= (nhours / 2) - 1: + # blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(1) + # blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + # blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + else: + blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(1) + blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + elif tank_status == "hot_full": + blks[0].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(0) + blks[0].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(1) + blks[0].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + for k in range(nhours): + if k >= 1: + blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(1) + else: + blks[0].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(1) + blks[0].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + blks[0].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(0) + for k in range(nhours): + if k >= 1: + blks[k].usc.fs.charge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.discharge_mode_disjunct.binary_indicator_var.set_value(0) + blks[k].usc.fs.no_storage_mode_disjunct.binary_indicator_var.set_value(1) + + # Select solver and solve the model + csvfile = create_csv_header(nhours=nhours) + + opt = pyo.SolverFactory('gdpopt') + _prop_bnds_root_to_leaf_map[ExternalFunctionExpression] = lambda x, y, z: None + + net_power = [] + hot_tank_level = [] + cold_tank_level = [] + hxc_duty = [] + hxd_duty = [] + boiler_heat_duty = [] + discharge_work = [] + for week in range(nweeks): + print() + print(">> Solving for week {}: {} hours of operation in {} day(s) ". + format(week + 1, nhours, ndays)) + results = opt.solve( + m, + tee=True, + algorithm='RIC', + mip_solver='gurobi_direct', + nlp_solver='ipopt', + # # OA_penalty_factor=1e4, + # # max_slack=1e4, + # zero_tolerance=1e-10, + # integer_tolerance=1e-4, + # variable_tolerance=1e-6, + init_algorithm="no_init", + subproblem_presolve=False, + time_limit="56000", + iterlim=500, + call_after_subproblem_solve=( + lambda c, a, b: print_model(c, a, b, + csvfile, nweeks=nweeks, + nhours=nhours, lmp=lmp, + n_time_points=n_time_points) + ), + nlp_solver_args=dict( + tee=True, + symbolic_solver_labels=True, + options={"linear_solver": "ma27", + "max_iter": 150, + "halt_on_ampl_error": "yes" + } + ) + ) + + hot_tank_level.append([pyo.value(blks[i].usc.salt_inventory_hot) # in mton + for i in range(n_time_points)]) + cold_tank_level.append([pyo.value(blks[i].usc.salt_inventory_cold) # in mton + for i in range(n_time_points)]) + net_power.append([pyo.value(blks[i].usc.fs.net_power) + for i in range(n_time_points)]) + boiler_heat_duty.append([pyo.value(blks[i].usc.fs.boiler.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + discharge_work.append([pyo.value(blks[i].usc.fs.discharge_turbine_work) + for i in range(n_time_points)]) + hxc_duty.append([pyo.value(blks[i].usc.fs.charge_mode_disjunct.indicator_var) * + pyo.value(blks[i].usc.fs.charge_mode_disjunct.hxc.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + hxd_duty.append([pyo.value(blks[i].usc.fs.discharge_mode_disjunct.indicator_var) * + pyo.value(blks[i].usc.fs.discharge_mode_disjunct.hxd.heat_duty[0]) * 1e-6 + for i in range(n_time_points)]) + + csvfile.close() + + return (m, + blks, + lmp, + net_power, + results, + hot_tank_level, + cold_tank_level, + hxc_duty, + hxd_duty, + boiler_heat_duty, + discharge_work) + +def print_results(m, blks, results): + # Print and plot results + c = 0 + print('Objective: {:.4f}'.format(value(m.obj) / scaling_obj)) + for blk in blks: + print() + print('Period {}'.format(c+1)) + storage_work = blks[c].usc.fs.discharge_turbine_work + charge_mode = blks[c].usc.fs.charge_mode_disjunct + discharge_mode = blks[c].usc.fs.discharge_mode_disjunct + perc = 100 + factor = 1 + + print(' Charge mode: {}'.format( + blks[c].usc.fs.charge_mode_disjunct.binary_indicator_var.value)) + print(' Discharge mode: {}'.format( + blks[c].usc.fs.discharge_mode_disjunct.binary_indicator_var.value)) + print(' No storage mode: {}'.format( + blks[c].usc.fs.no_storage_mode_disjunct.binary_indicator_var.value)) + if blks[c].usc.fs.charge_mode_disjunct.binary_indicator_var.value == 1: + print(' HXC area (m2): {:.4f}'.format( + value(charge_mode.hxc.area))) + print(' HXC Duty (MW): {:.4f}'.format( + value(charge_mode.hxc.heat_duty[0]) * 1e-6)) + print(' HXC salt temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(charge_mode.hxc.tube_inlet.temperature[0]), + value(charge_mode.hxc.tube_outlet.temperature[0]))) + print(' HXC steam temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(charge_mode.hxc.hot_side.properties_in[0].temperature), + value(charge_mode.hxc.hot_side.properties_out[0].temperature))) + print(' HXC salt flow (kg/s) [mton/h]: {:.4f} [{:.4f}]'.format( + value(charge_mode.hxc.tube_outlet.flow_mass[0]), + value(charge_mode.hxc.tube_outlet.flow_mass[0]) * 3600 * factor_mton)) + print(' HXC steam flow (mol/s): {:.4f}'.format( + value(charge_mode.hxc.shell_outlet.flow_mol[0]))) + print(' HXC Delta T (K): in: {:.4f}, out: {:.4f}'.format( + value(charge_mode.hxc.delta_temperature_in[0]), + value(charge_mode.hxc.delta_temperature_out[0]))) + elif blks[c].usc.fs.discharge_mode_disjunct.binary_indicator_var.value == 1: + print(' HXD area (m2): {:.4f}'.format( + value(discharge_mode.hxd.area))) + print(' HXD Duty (MW): {:.4f}'.format( + value(discharge_mode.hxd.heat_duty[0]) * 1e-6)) + print(' HXD salt temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(discharge_mode.hxd.shell_inlet.temperature[0]), + value(discharge_mode.hxd.shell_outlet.temperature[0]))) + print(' HXD steam temperature (K) in/out: {:.4f}/{:.4f}'.format( + value(discharge_mode.hxd.cold_side.properties_in[0].temperature), + value(discharge_mode.hxd.cold_side.properties_out[0].temperature))) + print(' HXD salt flow (kg/s) [mton/h]: {:.4f} [{:.4f}]'.format( + value(discharge_mode.hxd.shell_outlet.flow_mass[0]), + value(discharge_mode.hxd.shell_outlet.flow_mass[0]) * 3600 * factor_mton)) + print(' HXD steam flow (mol/s): {:.4f}'.format( + value(discharge_mode.hxd.tube_outlet.flow_mol[0]))) + print(' HXD Delta T (K): in: {:.4f}, out: {:.4f}'.format( + value(discharge_mode.hxd.delta_temperature_in[0]), + value(discharge_mode.hxd.delta_temperature_out[0]))) + print(' ES turbine work (MW): {:.4f}'.format( + value(discharge_mode.es_turbine.work_mechanical[0]) * -1e-6)) + elif blks[c].usc.fs.no_storage_mode_disjunct.binary_indicator_var.value == 1: + print(' **Note: no storage heat exchangers exist, so the units have the init values ') + print(' HXC area (m2): {:.4f}'.format( + value(charge_mode.hxc.area))) + print(' HXC Duty (MW): {:.4f}'.format( + value(charge_mode.hxc.heat_duty[0]) * 1e-6)) + print(' HXC salt flow (kg/s): {:.4f} '.format( + value(charge_mode.hxc.tube_outlet.flow_mass[0]))) + print(' HXD area (m2): {:.4f}'.format( + value(discharge_mode.hxd.area))) + print(' HXD Duty (MW): {:.4f}'.format( + value(discharge_mode.hxd.heat_duty[0]) * 1e-6)) + print(' HXD salt flow (kg/s): {:.4f}'.format( + value(discharge_mode.hxd.shell_outlet.flow_mass[0]))) + else: + print(' No other operation modes!') + + print(' Net power: {:.4f}'.format( + value(blks[c].usc.fs.net_power))) + print(' Plant Power Out: {:.4f}'.format( + value(blks[c].usc.fs.plant_power_out[0]))) + print(' Discharge turbine work (MW): {:.4f}'.format( + value(storage_work) * factor)) + # print(' Profit ($): {:.4f}'.format( + # value(blks[c].profit) / scaling_cost)) + # print(' Revenue ($): {:.4f}'.format( + # value(blks[c].revenue))) + # print(' Operating cost ($): {:.4f}'.format( + # value(blks[c].total_cost))) + print(' Efficiencies (%): boiler: {:.4f}, cycle: {:.4f}'.format( + value(blks[c].usc.fs.boiler_efficiency) * 100, + value(blks[c].usc.fs.cycle_efficiency) * perc)) + print(' Boiler heat duty: {:.4f}'.format( + value(blks[c].usc.fs.boiler.heat_duty[0]) * 1e-6)) + print(' Boiler flow mol (mol/s): {:.4f}'.format( + value(blks[c].usc.fs.boiler.outlet.flow_mol[0]))) + print(' Hot salt inventory (mton): previous: {:.4f}, current: {:.4f}'.format( + value(blks[c].usc.previous_salt_inventory_hot), + value(blks[c].usc.salt_inventory_hot))) + print(' Cold salt inventory (mton): previous: {:.4f}, current: {:.4f}'.format( + value(blks[c].usc.previous_salt_inventory_cold), + value(blks[c].usc.salt_inventory_cold))) + c += 1 + + print(results) + +def plot_results(m, + blks, + lmp, + ndays=None, + nweeks=None, + n_time_points=None, + net_power=None, + tank_max=None, + hot_tank_level=None, + cold_tank_level=None, + hxc_duty=None, + hxd_duty=None, + boiler_heat_duty=None, + discharge_work=None): + + + c = ['darkred', 'midnightblue', 'tab:green', 'k', 'gray'] + hours = np.arange(n_time_points * nweeks) + lmp_array = np.asarray(lmp[0:n_time_points]) + hot_tank_array = np.asarray(hot_tank_level[0:nweeks]).flatten() + cold_tank_array = np.asarray(cold_tank_level[0:nweeks]).flatten() + + # First, convert array to list to include the + # value at period zero, which for this analysis is zero since the + # plant is not operating. + hot_tank_array0 = value(blks[0].usc.previous_salt_inventory_hot) + cold_tank_array0 = value(blks[0].usc.previous_salt_inventory_cold) + hours_list = hours.tolist() + [nhours] + hot_tank_list = [hot_tank_array0] + hot_tank_array.tolist() + cold_tank_list = [cold_tank_array0] + cold_tank_array.tolist() + hxc_array = np.asarray(hxc_duty[0:nweeks]).flatten() + hxd_array = np.asarray(hxd_duty[0:nweeks]).flatten() + hxc_duty_list = [0] + hxc_array.tolist() + hxd_duty_list = [0] + hxd_array.tolist() + boiler_heat_duty_array = np.asarray(boiler_heat_duty[0:nweeks]).flatten() + boiler_heat_duty_list = [0] + boiler_heat_duty_array.tolist() + power_array = np.asarray(net_power[0:nweeks]).flatten() + power_array0 = value(blks[0].usc.previous_power) + power_list = [power_array0] + power_array.tolist() + discharge_work_array = np.asarray(discharge_work[0:nweeks]).flatten() + discharge_work_list = [0] + discharge_work_array.tolist() + + # Plot molten salt tank levels for each period. First, convert + # array to list to include hot tank level at initial period zero. + fig3, ax1 = plt.subplots(figsize=(12, 8)) + ax1.set_xlabel('Time Period (hr)') + ax1.set_ylabel('Salt Amount (metric ton)', color=c[3]) + ax1.spines["top"].set_visible(False) + ax1.spines["right"].set_visible(False) + ax1.grid(linestyle=':', which='both', color=c[4], alpha=0.40) + plt.axhline(tank_max, ls=':', lw=1.5, color=c[4]) + ax1.step(hours_list, hot_tank_list, marker='o', ms=8, lw=1.5, color=c[0], alpha=0.85, + label='Hot Tank') + ax1.fill_between(hours_list, hot_tank_list, step="pre", color=c[0], alpha=0.35) + ax1.step(hours_list, cold_tank_list, marker='o', ms=8, lw=1.5, color=c[1], alpha=0.65, + label='Cold Tank') + ax1.fill_between(hours_list, cold_tank_list, step="pre", color=c[1], alpha=0.10) + ax1.legend(loc="upper left", frameon=False) + ax1.tick_params(axis='y') + ax1.set_xticks(np.arange(0, n_time_points*nweeks + 1, step=1)) + ax2 = ax1.twinx() + ax2.set_ylim((-25, 225)) + ax2.set_ylabel('Locational Marginal Price ($/MWh)', color=c[2]) + ax2.step([x + 1 for x in hours], lmp_array, marker='o', ms=8, alpha=0.7, ls='-', lw=1.5, color=c[2]) + ax2.tick_params(axis='y', labelcolor=c[2]) + plt.savefig('results/gdp_mp_unfixed_area_{}h/final_salt_tank_level.png'.format( + nhours)) + + # Plot charge and discharge heat exchangers heat duty values for + # each time period. + fig4, ax3 = plt.subplots(figsize=(12, 8)) + ax3.set_xlabel('Time Period (hr)') + ax3.set_ylabel('Heat Duty (MW)', color=c[3]) + ax3.spines["top"].set_visible(False) + ax3.spines["right"].set_visible(False) + ax3.grid(linestyle=':', which='both', color=c[4], alpha=0.40) + ax3.set_ylim((-25, 825)) + ax3.step(hours_list, boiler_heat_duty_list, marker='o', ms=8, ls='-', lw=1.5, alpha=0.85, color=c[3], + label='Boiler') + ax3.fill_between(hours_list, boiler_heat_duty_list, step="pre", color=c[3], alpha=0.15) + plt.axhline(max_storage_heat_duty, ls=':', lw=1.5, color=c[4]) + # plt.axhline(min_storage_heat_duty, ls=':', lw=1.5, color=c[4]) + ax3.step(hours_list, hxc_duty_list, marker='o', ms=8, color=c[0], alpha=0.75, + label='Charge') + ax3.fill_between(hours_list, hxc_duty_list, step="pre", color=c[0], alpha=0.25) + ax3.step(hours_list, hxd_duty_list, marker='o', ms=8, color=c[1], alpha=0.75, + label='Discharge') + ax3.fill_between(hours_list, hxd_duty_list, step="pre", color=c[1], alpha=0.25) + ax3.legend(loc="center left", frameon=False) + ax3.tick_params(axis='y') + ax3.set_xticks(np.arange(0, n_time_points*nweeks + 1, step=1)) + ax4 = ax3.twinx() + ax4.set_ylim((-25, 225)) + ax4.set_ylabel('Locational Marginal Price ($/MWh)', color=c[2]) + ax4.step([x + 1 for x in hours], lmp_array, marker='o', ms=8, alpha=0.7, ls='-', lw=1.5, color=c[2]) + ax4.tick_params(axis='y', labelcolor=c[2]) + plt.savefig('results/gdp_mp_unfixed_area_{}h/final_heat_duty.png'.format(nhours)) + + # Plot net power and discharge power production for each period. + fig4, ax5 = plt.subplots(figsize=(12, 8)) + ax5.set_xlabel('Time Period (hr)') + ax5.set_ylabel('Power Output (MW)', color=c[1]) + ax5.spines["top"].set_visible(False) + ax5.spines["right"].set_visible(False) + ax5.grid(linestyle=':', which='both', color=c[4], alpha=0.40) + plt.axhline(max_power, ls=':', lw=1.5, color=c[4]) + ax5.step(hours_list, power_list, marker='o', ms=8, lw=1.5, color=c[3], + label='Plant Net Power') + ax5.fill_between(hours_list, power_list, step="pre", color=c[3], alpha=0.15) + ax5.step(hours_list, discharge_work_list, marker='o', ms=8, color=c[1], alpha=0.85, + label='Discharge Turbine') + ax5.fill_between(hours_list, discharge_work_list, step="pre", color=c[1], alpha=0.15) + ax5.tick_params(axis='y', labelcolor=c[1]) + ax5.set_xticks(np.arange(0, n_time_points*nweeks + 1, step=2)) + ax6 = ax5.twinx() + ax2.set_ylim((-25, 225)) + ax6.set_ylabel('Locational Marginal Price ($/MWh)', color=c[2]) + ax6.step([x + 1 for x in hours], lmp_array, marker='o', ms=8, alpha=0.7, ls='-', lw=1.5, color=c[2]) + ax6.tick_params(axis='y', labelcolor=c[2]) + plt.savefig('results/gdp_mp_unfixed_area_{}h/final_power.png'.format(nhours)) + + plt.show() + +def _mkdir(dir): + """Create directory to save results + + """ + + try: + os.mkdir(dir) + print('Directory {} created'.format(dir)) + except: + print('Directory {} not created because it already exists!'.format(dir)) + pass + + +if __name__ == '__main__': + + optarg = { + "max_iter": 300, + # "halt_on_ampl_error": "yes", + } + solver = get_solver('ipopt', optarg) + + # Save results in a .csv file for each master iteration + save_results = True + + # Use GDP design for charge and discharge heat exchanger from 4-12 + # disjunctions model when True. If False, use the GDP design from + # 4-5 disjunctions model. **Note** When changing this, make sure + # to change it in the GDP multiperiod python script too. + new_design = True + + lx = True + if lx: + if new_design: + # scaling_obj = 1e-2 + # # scaling_cost = 1e-3 # before changing the obj function + # scaling_cost = 1e-3 + scaling_obj = 1e-5 + # scaling_cost = 1e-3 # before changing the obj function + scaling_cost = 1 + else: + # scaling_obj = 1e-2 # 6h, 12h + scaling_obj = 1e-4 # 12h + scaling_cost = 1e-3 + else: + scaling_obj = 1 + scaling_cost = 1 + print() + print('Scaling cost:', scaling_cost) + print('Scaling obj:', scaling_obj) + + # Add design data from .json file + if new_design: + data_path = 'uscp_design_data_new_storage_design.json' + else: + data_path = 'uscp_design_data.json' + + with open(data_path) as design_data: + design_data_dict = json.load(design_data) + + max_salt_amount = design_data_dict["max_salt_amount"] # in kg + max_storage_heat_duty = design_data_dict["max_storage_heat_duty"] # in MW + min_storage_heat_duty = design_data_dict["min_storage_heat_duty"] # in MW + factor_mton = design_data_dict["factor_mton"] # factor for conversion kg to metric ton + max_power = design_data_dict["plant_max_power"] # in MW + pmin = design_data_dict["plant_min_power"] # in MW + + hours_per_day = 12 + ndays = 1 + nhours = hours_per_day * ndays + nweeks = 1 + + # Add number of hours per week + n_time_points = nweeks * nhours + + tank_status = "hot_empty" + tank_min = 1 * factor_mton # in mton + tank_max = max_salt_amount * factor_mton # in mton + + # Create a directory to save the results for each NLP sbproblem + # and plots + _mkdir('results') + _mkdir('results/gdp_mp_unfixed_area_{}h'.format(nhours)) + + (m, + blks, + lmp, + net_power, + results, + hot_tank_level, + cold_tank_level, + hxc_duty, + hxd_duty, + boiler_heat_duty, + discharge_work) = run_pricetaker_analysis(hours_per_day=hours_per_day, + nhours=nhours, + ndays=ndays, + nweeks=nweeks, + n_time_points=n_time_points, + pmin=pmin, + tank_status=tank_status, + tank_min=tank_min, + tank_max=tank_max) + + print_results(m, + blks, + results) + + plot_results(m, + blks, + lmp, + ndays=ndays, + nweeks=nweeks, + n_time_points=n_time_points, + hot_tank_level=hot_tank_level, + cold_tank_level=cold_tank_level, + net_power=net_power, + hxc_duty=hxc_duty, + hxd_duty=hxd_duty, + tank_max=tank_max, + boiler_heat_duty=boiler_heat_duty, + discharge_work=discharge_work) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/ultra_supercritical_powerplant_w_ccs.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/ultra_supercritical_powerplant_w_ccs.py new file mode 100644 index 000000000..108ade9c9 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/ultra_supercritical_powerplant_w_ccs.py @@ -0,0 +1,268 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program +# (DISPATCHES), and is copyright (c) 2021 by the software owners: +# The Regents of the University of California, through Lawrence Berkeley +# National Laboratory, National Technology & Engineering Solutions of Sandia, +# LLC, Alliance for Sustainable Energy, LLC, Battelle Energy Alliance, LLC, +# University of Notre Dame du Lac, et al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and +# license information, respectively. Both files are also available online +# at the URL: "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +""" +This is a simple model for an ultrasupercritical coal-fired power plant +integrated with a boiler fire-side unit model and a CO2 capture system. +The boiler fire-side model accounts for flue-gas generation. +The CO2 capture system uses surrogates for a solvent-based piperazine system. +The capture rate is fixed to 90%. +""" + +# IDAES Imports +from idaes.core.util.model_statistics import degrees_of_freedom +from idaes.power_generation.unit_models.boiler_fireside import BoilerFireside +from idaes.core.util import get_solver +import idaes.core.util.scaling as iscale +import idaes.logger as idaeslog + +import ultra_supercritical_powerplant as usc + +from idaes.power_generation.carbon_capture.piperazine_surrogates.\ + co2_capture_system import CO2Capture +from idaes.power_generation.properties import FlueGasParameterBlock + + +def add_fireside(m): + + m.fs.prop_fluegas = FlueGasParameterBlock() + + boiler_input_dict = {1: '614623556', + 'pl': '126983008', + 'roof': '96959378', + 'flyash': '0.0001', # flyash mass fraction + 'NOx': '140'} # NOx PPM + + m.fs.boiler_fireside = BoilerFireside( + default={"dynamic": False, + "property_package": m.fs.prop_fluegas, + "calculate_PA_SA_flows": True, + "number_of_zones": 1, + "has_platen_superheater": True, + "has_roof_superheater": True, + "surrogate_dictionary": boiler_input_dict}) + m.fs.boiler_fireside.eq_surr_waterwall_heat.deactivate() + m.fs.boiler_fireside.eq_surr_platen_heat.deactivate() + m.fs.boiler_fireside.eq_surr_roof_heat.deactivate() + + @m.fs.boiler_fireside.Constraint(m.fs.time, + m.fs.boiler_fireside.zones, + doc="Waterwall heat duty") + def eq_main_boiler_heat(b, t, z): + return ( + b.waterwall_heat[t, z] * + b.fcorrection_heat_ww[t] == + m.fs.boiler.heat_duty[0]) + + @m.fs.boiler_fireside.Constraint(m.fs.time, + doc="Reheater heat duty") + def eq_reheater_1_heat(b, t): + return ( + b.platen_heat[t] * + b.fcorrection_heat_platen[t] == + m.fs.reheater[1].heat_duty[0]) + + @m.fs.boiler_fireside.Constraint(m.fs.time, + doc="Additional reheater heat duty") + def eq_reheater_2_heat(b, t): + return ( + b.roof_heat[t] * + b.fcorrection_heat_ww[t] == + m.fs.reheater[2].heat_duty[0]) + + # Fixing Coal composition + m.fs.boiler_fireside.mf_C_coal_dry.fix(0.718471768285811) + m.fs.boiler_fireside.mf_H_coal_dry.fix(0.0507156542319396) + m.fs.boiler_fireside.mf_O_coal_dry.fix(0.0791164206018258) + m.fs.boiler_fireside.mf_N_coal_dry.fix(0.0140876817310943) + m.fs.boiler_fireside.mf_S_coal_dry.fix(0.0282880649160374) + m.fs.boiler_fireside.mf_Ash_coal_dry.fix(0.109320410233292) + m.fs.boiler_fireside.hhv_coal_dry.fix(2.581e+007) + m.fs.boiler_fireside.frac_moisture_vaporized[:].fix(0.6) + m.fs.boiler_fireside.mf_H2O_coal_raw[:].fix(0.111367051) # moisture + m.fs.boiler_fireside.flowrate_coal_raw[:].fix(100.0) # kg/s + + m.fs.boiler_fireside.wall_temperature_waterwall[:, :].fix(690) + m.fs.boiler_fireside.wall_temperature_platen[:].fix(750) + m.fs.boiler_fireside.wall_temperature_roof[:].fix(650) + m.fs.boiler_fireside.fcorrection_heat_ww.fix(0.95) + m.fs.boiler_fireside.fcorrection_heat_platen.fix(0.95) + + # SCPC simulation approx flue gas = 21290.6999 # mol/s + flow_mol_pa = 21290.6999*0.34 # approx. 1/3 as Primary air + flow_mol_sa = 21290.6999*0.66 # approx. 2/3 as Secondary air + + m.fs.state_args_PA = { + "flow_mol_comp": { + "H2O": 0.0078267*flow_mol_pa, + "CO2": 0.000337339*flow_mol_pa, + "N2": 0.783994*flow_mol_pa, + "O2": 0.20784*flow_mol_pa, + "SO2": 1e-5*flow_mol_pa, + "NO": 1e-5*flow_mol_pa + }, + "temperature": 333.15, + "pressure": 101325.00 + } + + m.fs.state_args_SA = { + "flow_mol_comp": { + "H2O": 0.0078267*flow_mol_sa, + "CO2": 0.000337339*flow_mol_sa, + "N2": 0.783994*flow_mol_sa, + "O2": 0.20784*flow_mol_sa, + "SO2": 1e-5*flow_mol_sa, + "NO": 1e-5*flow_mol_sa + }, + "temperature": 650.15, + "pressure": 101325.00 + } + + m.fs.boiler_fireside.primary_air_inlet.pressure[:].fix(101325.00) + m.fs.boiler_fireside.secondary_air_inlet.pressure[:].fix(101325.00) + m.fs.boiler_fireside.primary_air_inlet.temperature[:].fix(333.15) + m.fs.boiler_fireside.secondary_air_inlet.temperature[:].fix(650.15) + m.fs.boiler_fireside.temperature_coal[:].fix(335.15) + m.fs.boiler_fireside.flue_gas_outlet.temperature.setub(5000) + m.fs.boiler_fireside.SR.fix(1.2) + m.fs.boiler_fireside.ratio_PA2coal.fix(2.45) + m.fs.boiler_fireside.SR_lf.fix(1.0) + m.fs.boiler_fireside.deltaP.fix(1000) + return m + + +def add_co2capture(m): + m.fs.co2_capture_unit = CO2Capture() + + # Adding constraints to connect flue_gas_outlet to co2_capture_unit_inlet + # An arc cannot be used because of the fixed components with capture unit + # The following are equality constraints for component flows, pressure, + # and temperature. + # TODO: update the model with a translator block to update components + m.fg_comp_list = ['CO2', 'H2O', 'N2', 'O2', 'NO', 'SO2'] + m.css_comp_list = ['CO2', 'H2O', 'N2', 'O2'] + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + m.css_comp_list, + doc="Flow equality constraints") + def eq_flow_mol_comp(b, t, c): + return ( + m.fs.boiler_fireside.flue_gas_outlet.flow_mol_comp[t, c] == + m.fs.co2_capture_unit.inlet.flow_mol_comp[t, c]) + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + doc="Fixing Ar flow") + def eq_ar_flow_mol_comp(b, t): + return ( + m.fs.co2_capture_unit.inlet.flow_mol_comp[t, 'Ar'] == 0.0089 * + sum(m.fs.boiler_fireside.flue_gas_outlet.flow_mol_comp[t, c] + for c in m.fg_comp_list)) + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + doc="Temperature equality constraints") + def eq_temperature(b, t): + return ( + m.fs.boiler_fireside.flue_gas_outlet.temperature[t] == + m.fs.co2_capture_unit.inlet.temperature[t]) + + @m.fs.co2_capture_unit.Constraint(m.fs.time, + doc="Pressure equality constraints") + def eq_pressure(b, t): + return ( + m.fs.boiler_fireside.flue_gas_outlet.pressure[t] == + m.fs.co2_capture_unit.inlet.pressure[t]) + + m.fs.co2_capture_unit.CO2_capture_rate.fix(0.9) # 90 % CO2 Capture + m.fs.co2_capture_unit.Pz_mol.fix(5) + m.fs.co2_capture_unit.lean_loading.fix(0.25) + + return m + + +def initialize_usc_w_capture(m, fileinput=None, outlvl=idaeslog.NOTSET, + solver=None, optarg={}): + + iscale.calculate_scaling_factors(m) + + m.fs.boiler.heat_duty[0].fix() + m.fs.reheater[1].heat_duty[0].fix() + m.fs.reheater[2].heat_duty[0].fix() + + m.fs.boiler_fireside.initialize( + state_args_PA=m.fs.state_args_PA, + state_args_SA=m.fs.state_args_SA) + + m.fs.boiler.heat_duty[0].unfix() + m.fs.reheater[1].heat_duty[0].unfix() + m.fs.reheater[2].heat_duty[0].unfix() + + # The initialize method in CO2Capture unit model fixes inlet state + # and does not unfix it. So, to use the initialize method, the + # constraints are deactivated before initializing and activated later. + # The inlet state is unfixed before activating the constraints. + # TODO: update this section when the initialize method in CO2Capture model + # is updated. + m.fs.co2_capture_unit.eq_flow_mol_comp.deactivate() + m.fs.co2_capture_unit.eq_ar_flow_mol_comp.deactivate() + m.fs.co2_capture_unit.eq_temperature.deactivate() + m.fs.co2_capture_unit.eq_pressure.deactivate() + m.fs.co2_capture_unit.inlet.temperature[:].fix(303.1) # K (30 C) + m.fs.co2_capture_unit.inlet.pressure[:].fix(101325) # Pa (1 atm) + + m.fs.co2_capture_unit.initialize(outlvl=idaeslog.INFO) + + m.fs.co2_capture_unit.inlet.temperature[:].unfix() # K (30 C) + m.fs.co2_capture_unit.inlet.pressure[:].unfix() # Pa (1 atm) + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'CO2'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'O2'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'Ar'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'H2O'].unfix() + m.fs.co2_capture_unit.inlet.flow_mol_comp[:, 'N2'].unfix() + m.fs.co2_capture_unit.eq_flow_mol_comp.activate() + m.fs.co2_capture_unit.eq_ar_flow_mol_comp.activate() + m.fs.co2_capture_unit.eq_temperature.activate() + m.fs.co2_capture_unit.eq_pressure.activate() + + res = solver.solve(m) + print("Model Initialization = ", + res.solver.termination_condition) + print("************** USC model w Capture Initialized ***************") + + +def build_usc_w_ccs(): + + m = usc.build_plant_model() + solver = usc.initialize(m) + m = add_fireside(m) + m = add_co2capture(m) + assert degrees_of_freedom(m) == 0 + + initialize_usc_w_capture(m, solver=solver) + assert degrees_of_freedom(m) == 0 + + return m + + +if __name__ == "__main__": + + optarg = { + "max_iter": 300, + "halt_on_ampl_error": "yes", + } + solver = get_solver("ipopt", optarg) + + m = build_usc_w_ccs() + + results = solver.solve(m, tee=True) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/usc_storage_gdp_mp_unfixed_area_new_storage_design.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/usc_storage_gdp_mp_unfixed_area_new_storage_design.py new file mode 100644 index 000000000..98546d4c0 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/usc_storage_gdp_mp_unfixed_area_new_storage_design.py @@ -0,0 +1,2123 @@ +############################################################################## +# DISPATCHES was produced under the DOE Design Integration and Synthesis +# Platform to Advance Tightly Coupled Hybrid Energy Systems program (DISPATCHES), +# and is copyright (c) 2021 by the software owners: The Regents of the University +# of California, through Lawrence Berkeley National Laboratory, National +# Technology & Engineering Solutions of Sandia, LLC, Alliance for Sustainable +# Energy, LLC, Battelle Energy Alliance, LLC, University of Notre Dame du Lac, et +# al. All rights reserved. +# +# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license +# information, respectively. Both files are also available online at the URL: +# "https://github.com/gmlc-dispatches/dispatches". +# +############################################################################## + +"""This is a GDP model for the conceptual design of an ultra +supercritical coal-fired power plant based on a flowsheet presented in +1999 USDOE Report #DOE/FE-0400 + +This model uses some of the simpler unit models from the power +generation unit model library. + +Some of the parameters in the model such as feed water heater areas, +overall heat transfer coefficient, turbine efficiencies at multiple +stages have all been estimated for a total power out of 437 MW. + +Additional main assumptions are as follows: +(1) The flowsheet and main steam conditions, i. e. pressure & + temperature are adopted from the aforementioned DOE report +(2) Heater unit models are used to model main steam boiler, reheater, + and condenser. +(3) Multi-stage turbines are modeled as multiple lumped single stage + turbines + +""" + +__author__ = "Soraya Rawlings" + +# Import Python libraries +from math import pi +import logging +import json + +# Import Pyomo libraries +import pyomo.environ as pyo +from pyomo.environ import (Block, Param, Constraint, Objective, Reals, + NonNegativeReals, TransformationFactory, Expression, + maximize, RangeSet, value, log, Var, SolverFactory) +from pyomo.gdp import Disjunct, Disjunction +from pyomo.environ import units as pyunits +from pyomo.network import Arc +from pyomo.network.plugins import expand_arcs +from pyomo.util.calc_var_value import calculate_variable_from_constraint +from pyomo.util.infeasible import (log_infeasible_constraints, + log_close_to_bounds) +from pyomo.contrib.fbbt.fbbt import _prop_bnds_root_to_leaf_map +from pyomo.core.expr.numeric_expr import ExternalFunctionExpression + +# Import IDAES libraries +import idaes.logger as idaeslog +import idaes.core.util.scaling as iscale +from idaes.core import MaterialBalanceType +from idaes.core.util.initialization import propagate_state +from idaes.core.solvers.get_solver import get_solver +from idaes.core.util import model_serializer as ms +from idaes.core.util.model_statistics import degrees_of_freedom +from idaes.models.unit_models import (HeatExchanger, + MomentumMixingType, + Heater) +from idaes.models.unit_models import PressureChanger +from idaes.models.unit_models.heat_exchanger import delta_temperature_underwood_callback +from idaes.models.unit_models.pressure_changer import ThermodynamicAssumption +from idaes.models_extra.power_generation.unit_models.helm import (HelmMixer, + HelmTurbineStage, + HelmSplitter) +from idaes.core import UnitModelCostingBlock +from idaes.models.costing.SSLW import SSLWCosting, SSLWCostingData +from idaes.core.util.exceptions import ConfigurationError + +# Import ultra supercritical power plant model +# from dispatches.models.fossil_case.ultra_supercritical_plant import ( +# ultra_supercritical_powerplant_mixcon as usc) +from dispatches.case_studies.fossil_case.ultra_supercritical_plant import ( + ultra_supercritical_powerplant as usc) + +# Import Solar salt property package +from dispatches.properties import solarsalt_properties + +from IPython import embed +logging.basicConfig(level=logging.INFO) + + +# Open json file to add data to the model +with open('uscp_design_data_new_storage_design.json') as design_data: + design_data_dict = json.load(design_data) + + +def create_gdp_model(m, + method=None, + max_power=None, + deact_arcs_after_init=None, + energy_loss=None): + """Create flowsheet and add unit models. + """ + + # Add data to the model + add_data(m) + + # Add molten salt properties (Solar and Hitec salt) + m.fs.solar_salt_properties = solarsalt_properties.SolarsaltParameterBlock() + + ########################################################################### + # Add global variables + ########################################################################### + + m.fs.salt_amount = pyo.Param( + initialize=m.max_salt_amount, + doc="Solar salt amount in mton" + ) + + m.fs.salt_storage = pyo.Var( + bounds=(-m.max_salt_flow, m.max_salt_flow), + initialize=1, + doc="Solar salt amount in storage" + ) + m.fs.hx_pump_work = pyo.Var( + bounds=(0, 1e3), + initialize=1 + ) + m.fs.discharge_turbine_work = pyo.Var( + bounds=(0, 1e3), + initialize=1 + ) + + if energy_loss: + energy_loss_val = 1.5 + else: + energy_loss_val = 0 + m.fs.energy_loss = pyo.Param( + initialize=energy_loss_val, + doc="Discharge energy loss in MW" + ) + + m.fs.charge_area = pyo.Var( + initialize=m.hxc_area_init, + bounds=(m.min_area, m.max_area), + doc="Charge heat exchanger area in m2" + ) + m.fs.hot_salt_temp = pyo.Var( + initialize=m.hot_salt_temp, + bounds=(m.min_salt_temp, m.max_salt_temp), + doc="Hot salt temperature from charge heat exchanger in K" + ) + m.fs.discharge_area = pyo.Var( + initialize=m.hxd_area_init, + bounds=(m.min_area, m.max_area), + doc="Discharge heat exchanger area in m2" + ) + ########################################################################### + # Add disjunction + ########################################################################### + + m.fs.discharge_mode_disjunct = Disjunct(rule=discharge_mode_disjunct_equations) + m.fs.charge_mode_disjunct = Disjunct(rule=charge_mode_disjunct_equations) + m.fs.no_storage_mode_disjunct = Disjunct(rule=no_storage_mode_disjunct_equations) + + ########################################################################### + # Add constraints + ########################################################################### + + if deact_arcs_after_init: + print(' **Arcs from reheater 1 to turbine 3 and BFP to FWH8 are deactivated after initialization') + else: + print(' **Arcs from reheater 1 to turbine 3 and BFP to FWH8 are deactivated in create_gdp_model before initialization') + _deactivate_arcs(m) + + _make_constraints(m, method=method, max_power=max_power) + return m + +def add_data(m): + + # Add global data + m.hxc_area = design_data_dict["hxc_area"] # in MW + m.hxd_area = design_data_dict["hxd_area"] # in MW + m.min_power = design_data_dict["plant_min_power"] # in MW + m.max_power = design_data_dict["plant_max_power"] # in MW + m.ramp_rate = design_data_dict["ramp_rate"] + m.min_power_storage = design_data_dict["min_discharge_turbine_power"] # in MW + m.max_power_storage = design_data_dict["max_discharge_turbine_power"] # in MW + m.hot_salt_temp = design_data_dict["hot_salt_temperature"] # in K + # m.min_area = design_data_dict["min_storage_area_design"] # in m2 + m.min_area = 1000 + m.max_area = design_data_dict["max_storage_area_design"] # in m2 + m.cold_salt_temp = design_data_dict["cold_salt_temperature"] # in K + m.min_storage_heat_duty = design_data_dict["min_storage_heat_duty"] # in MW + m.max_storage_heat_duty = design_data_dict["max_storage_heat_duty"] # in MW + m.min_salt_temp = design_data_dict["min_solar_salt_temperature"] # in K + m.max_salt_temp = design_data_dict["max_solar_salt_temperature"] # in K + m.max_salt_flow = design_data_dict["max_salt_flow"] # in kg/s + m.factor_mton = design_data_dict["factor_mton"] # factor to convert kg to metric ton + m.max_salt_amount = design_data_dict["max_salt_amount"] * m.factor_mton # in mton + + # Add initial values + m.hxc_area_init = m.hxc_area + m.hxd_area_init = m.hxd_area + + # Chemical engineering cost index for 2019 + m.CE_index = 607.5 + + # Define the number of hours per day to operate the storage system + # and the number of years over which the capital costs are + # annualized + m.fs.hours_per_day = pyo.Param( + initialize=design_data_dict["operating_hours_per_day"], + doc='Estimated number of hours of charging per day' + ) + m.fs.num_of_years = pyo.Param( + initialize=design_data_dict["number_of_years"], + doc='Number of years for capital cost annualization') + + # Define the data for the design of the storage heat + # exchangers. The design is: Shell-n-tube counter-flow heat + # exchanger design parameters. Data to compute overall heat + # transfer coefficient for the charge heat exchanger using the + # Sieder-Tate Correlation. Parameters for tube diameter and + # thickness assumed from the data in (2017) He et al., Energy + # Procedia 105, 980-985. + m.fs.data_storage_hx = { + 'tube_inner_dia': 0.032, + 'tube_outer_dia': 0.036, + 'k_steel': 21.5, + 'number_tubes': 20, + 'shell_inner_dia': 1 + } + + m.fs.tube_inner_dia = pyo.Param( + initialize=m.fs.data_storage_hx['tube_inner_dia'], + units=pyunits.m, + doc='Tube inner diameter in m') + m.fs.tube_outer_dia = pyo.Param( + initialize=m.fs.data_storage_hx['tube_outer_dia'], + units=pyunits.m, + doc='Tube outer diameter in m') + m.fs.k_steel = pyo.Param( + initialize=m.fs.data_storage_hx['k_steel'], + units=pyunits.W / (pyunits.m * pyunits.K), + doc='Thermal conductivity of steel in W/m.K') + m.fs.n_tubes = pyo.Param( + initialize=m.fs.data_storage_hx['number_tubes'], + doc='Number of tubes') + m.fs.shell_inner_dia = pyo.Param( + initialize=m.fs.data_storage_hx['shell_inner_dia'], + units=pyunits.m, + doc='Shell inner diameter in m') + + # Calculate sectional area of storage heat exchangers + m.fs.tube_cs_area = pyo.Expression( + expr=(pi / 4) * + (m.fs.tube_inner_dia ** 2), + doc="Tube cross sectional area") + m.fs.tube_out_area = pyo.Expression( + expr=(pi / 4) * + (m.fs.tube_outer_dia ** 2), + doc="Tube cross sectional area including thickness in m2") + m.fs.shell_eff_area = pyo.Expression( + expr=( + (pi / 4) * + (m.fs.shell_inner_dia ** 2) - + m.fs.n_tubes * + m.fs.tube_out_area), + doc="Effective shell cross sectional area in m2") + + # Calculate ratios for overall heat transfer coefficients + m.fs.tube_dia_ratio = (m.fs.tube_outer_dia / m.fs.tube_inner_dia) + m.fs.log_tube_dia_ratio = log(m.fs.tube_dia_ratio) + + # Data for main flowsheet operation. The q baseline_charge + # corresponds to heat duty of a plant with no storage and + # producing 400 MW power + m.data_cost = { + 'coal_price': 2.11e-9, + 'solar_salt_price': 0.49, + } + m.fs.coal_price = pyo.Param( + initialize=m.data_cost['coal_price'], + doc='Coal price based on HHV for Illinois No.6 (NETL Report) in $/J') + m.fs.solar_salt_price = pyo.Param( + initialize=m.data_cost['solar_salt_price'], + doc='Solar salt price in $/kg') + + +def _make_constraints(m, method=None, max_power=None): + + m.fs.production_cons.deactivate() + @m.fs.Constraint(m.fs.time) + def production_cons_with_storage(b, t): + return ( + ( + (-1e-6) * (pyunits.MW / pyunits.W) * + sum(b.turbine[p].work_mechanical[t] for p in m.set_turbine) + - b.hx_pump_work + ) == + b.plant_power_out[t] + ) + + m.fs.net_power = pyo.Expression( + expr=( + m.fs.plant_power_out[0] + + m.fs.discharge_turbine_work + ) + ) + + m.fs.boiler_efficiency = pyo.Var( + initialize=0.9, + bounds=(0, 1), + doc="Boiler efficiency in fraction" + ) + m.fs.boiler_efficiency_eq = pyo.Constraint( + expr=m.fs.boiler_efficiency == ( + 0.2143 * (m.fs.net_power / max_power) + + 0.7357 + ), + doc="Boiler efficiency in fraction" + ) + + # m.fs.coal_heat_duty = pyo.Var( + # initialize=1000, + # bounds=(0, 1e5), + # doc="Coal heat duty supplied to boiler in MW") + + if method == "with_efficiency": + # m.fs.coal_heat_duty_eq = pyo.Constraint( + # expr=m.fs.coal_heat_duty * m.fs.boiler_efficiency == + # m.fs.plant_heat_duty[0] + # ) + m.fs.coal_heat_duty = pyo.Expression( + expr=m.fs.plant_heat_duty[0] / m.fs.boiler_efficiency + ) + else: + # m.fs.coal_heat_duty_eq = pyo.Constraint( + # expr=m.fs.coal_heat_duty == + # m.fs.plant_heat_duty[0] + # ) + m.fs.coal_heat_duty = pyo.Expression( + expr=m.fs.plant_heat_duty[0] + ) + + m.fs.cycle_efficiency = pyo.Var( + initialize=0.4, + bounds=(0, 1), + doc="Cycle efficiency in fraction" + ) + m.fs.cycle_efficiency_eq = pyo.Constraint( + expr=m.fs.cycle_efficiency * m.fs.coal_heat_duty == m.fs.net_power, + doc="Cycle efficiency in fraction" + ) + + +def add_disjunction(m): + """Add storage fluid selection and steam source disjunctions to the + model + """ + + m.fs.operation_mode_disjunction = Disjunction( + expr=[m.fs.no_storage_mode_disjunct, + m.fs.charge_mode_disjunct, + m.fs.discharge_mode_disjunct]) + + # Expand arcs within the disjuncts + expand_arcs.obj_iter_kwds['descend_into'] = (Block, Disjunct) + TransformationFactory("network.expand_arcs").apply_to(m.fs) + + return m + + +def no_storage_mode_disjunct_equations(disj): + m = disj.model() + + # Connect cycle + m.fs.no_storage_mode_disjunct.rh1_to_turb3 = Arc( + source=m.fs.reheater[1].outlet, + destination=m.fs.turbine[3].inlet, + doc="Connection from reheater 1 to turbine 3" + ) + m.fs.no_storage_mode_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet, + doc="Connection from FWH9 to boiler" + ) + m.fs.no_storage_mode_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + # Set global constraints that depend on the charge and discharge + # operation modes to zero since the units do not exist in no + # storage mode + m.fs.no_storage_mode_disjunct.eq_salt_amount_in_storage = pyo.Constraint( + expr=m.fs.salt_storage == 0 + ) + # m.fs.no_storage_mode_disjunct.eq_cooler_heat_duty = pyo.Constraint( + # expr=m.fs.cooler_heat_duty == 0 + # ) + m.fs.no_storage_mode_disjunct.eq_hx_pump_work = pyo.Constraint( + expr=m.fs.hx_pump_work == 0 + ) + m.fs.no_storage_mode_disjunct.eq_discharge_turbine_work = pyo.Constraint( + expr=m.fs.discharge_turbine_work == 0 + ) + + +def charge_mode_disjunct_equations(disj): + m = disj.model() + + # Declare units for the charge storage system: A splitter to + # divert some steam from high pressure inlet and intermediate + # pressure inlet to charge the storage heat exchanger, a charge + # heat exchanger, a pump, and a mixer. A pump is used to increase + # the pressure of the water to allow mixing it at a desired + # location within the plant. + m.fs.charge_mode_disjunct.ess_charge_split = HelmSplitter( + property_package=m.fs.prop_water, + outlet_list=["to_hxc", "to_turbine"] + ) + + m.fs.charge_mode_disjunct.hxc = HeatExchanger( + delta_temperature_callback=delta_temperature_underwood_callback, + hot_side_name="shell", + cold_side_name="tube", + shell={"property_package": m.fs.prop_water}, + tube={"property_package": m.fs.solar_salt_properties} + ) + + m.fs.charge_mode_disjunct.hx_pump = PressureChanger( + property_package=m.fs.prop_water, + material_balance_type=MaterialBalanceType.componentTotal, + thermodynamic_assumption=ThermodynamicAssumption.pump, + ) + + m.fs.charge_mode_disjunct.mixer2 = HelmMixer( + momentum_mixing_type=MomentumMixingType.none, + inlet_list=["from_fwh9", "from_hx_pump"], + property_package=m.fs.prop_water, + ) + + # Calculate the overall heat transfer coefficient for the Solar + # salt charge heat exchanger. For that, first calculate Reynolds + # number, Prandtl number, and Nusselt number. + solar_hxc = m.fs.charge_mode_disjunct.hxc + solar_hxc.salt_reynolds_number = pyo.Expression( + expr=( + (solar_hxc.tube_inlet.flow_mass[0] * + m.fs.tube_outer_dia) / + (m.fs.shell_eff_area * + solar_hxc.cold_side.properties_in[0].visc_d_phase["Liq"]) + ), + doc="Salt Reynolds Number") + solar_hxc.salt_prandtl_number = pyo.Expression( + expr=( + solar_hxc.cold_side.properties_in[0].cp_mass["Liq"] * + solar_hxc.cold_side.properties_in[0].visc_d_phase["Liq"] / + solar_hxc.cold_side.properties_in[0].therm_cond_phase["Liq"] + ), + doc="Salt Prandtl Number") + solar_hxc.salt_prandtl_wall = pyo.Expression( + expr=( + solar_hxc.cold_side.properties_out[0].cp_mass["Liq"] * + solar_hxc.cold_side.properties_out[0].visc_d_phase["Liq"] / + solar_hxc.cold_side.properties_out[0].therm_cond_phase["Liq"] + ), + doc="Salt Prandtl Number at wall") + solar_hxc.salt_nusselt_number = pyo.Expression( + expr=( + 0.35 * + (solar_hxc.salt_reynolds_number**0.6) * + (solar_hxc.salt_prandtl_number**0.4) * + ((solar_hxc.salt_prandtl_number / + solar_hxc.salt_prandtl_wall) ** 0.25) * + (2**0.2) + ), + doc="Salt Nusslet Number from 2019, App Ener (233-234), 126") + solar_hxc.steam_reynolds_number = pyo.Expression( + expr=( + solar_hxc.shell_inlet.flow_mol[0] * + solar_hxc.hot_side.properties_in[0].mw * + m.fs.tube_inner_dia / + (m.fs.tube_cs_area * + m.fs.n_tubes * + solar_hxc.hot_side.properties_in[0].visc_d_phase["Vap"]) + ), + doc="Steam Reynolds Number") + solar_hxc.steam_prandtl_number = pyo.Expression( + expr=( + (solar_hxc.hot_side.properties_in[0].cp_mol / + solar_hxc.hot_side.properties_in[0].mw) * + solar_hxc.hot_side.properties_in[0].visc_d_phase["Vap"] / + solar_hxc.hot_side.properties_in[0].therm_cond_phase["Vap"] + ), + doc="Steam Prandtl Number") + solar_hxc.steam_nusselt_number = pyo.Expression( + expr=( + 0.023 * + (solar_hxc.steam_reynolds_number**0.8) * + (solar_hxc.steam_prandtl_number**(0.33)) * + ((solar_hxc.hot_side.properties_in[0].visc_d_phase["Vap"] / + solar_hxc.hot_side.properties_out[0].visc_d_phase["Liq"]) ** 0.14) + ), + doc="Steam Nusslet Number from 2001 Zavoico, Sandia") + + # Calculate heat transfer coefficients for the salt and steam + # sides of charge heat exchanger + solar_hxc.h_salt = pyo.Expression( + expr=( + solar_hxc.cold_side.properties_in[0].therm_cond_phase["Liq"] * + solar_hxc.salt_nusselt_number / + m.fs.tube_outer_dia + ), + doc="Salt side convective heat transfer coefficient [W/mK]") + solar_hxc.h_steam = pyo.Expression( + expr=( + solar_hxc.hot_side.properties_in[0].therm_cond_phase["Vap"] * + solar_hxc.steam_nusselt_number / + m.fs.tube_inner_dia + ), + doc="Steam side convective heat transfer coefficient [W/mK]") + + @m.fs.charge_mode_disjunct.hxc.Constraint( + doc="Solar salt charge heat exchanger overall heat transfer coefficient") + def constraint_hxc_ohtc(b): + return ( + b.overall_heat_transfer_coefficient[0] * + (2 * m.fs.k_steel * + b.h_steam + + m.fs.tube_outer_dia * + m.fs.log_tube_dia_ratio * + b.h_salt * + b.h_steam + + m.fs.tube_dia_ratio * + b.h_salt * + 2 * m.fs.k_steel) + ) == (2 * m.fs.k_steel * + b.h_salt * + b.h_steam) + + + # Add constraint to ensure that the mixer 2 outlet is at the + # minimum pressure + m.fs.charge_mode_disjunct.mixer2_pressure_constraint = pyo.Constraint( + expr=m.fs.charge_mode_disjunct.mixer2.from_fwh9_state[0].pressure == + m.fs.charge_mode_disjunct.mixer2.mixed_state[0].pressure, + doc="Mixer 2 outlet pressure equal to min inlet pressure") + + # Add pump pressure constraint + m.fs.charge_mode_disjunct.constraint_hxpump_presout = pyo.Constraint( + expr=m.fs.charge_mode_disjunct.hx_pump.outlet.pressure[0] >= + m.main_steam_pressure * 1.1231 + # expr=m.fs.charge_mode_disjunct.hx_pump.outlet.pressure[0] == + # m.main_steam_pressure * 1.1231 + ) + + # Reconnect condenser pump to FWH1 + m.fs.charge_mode_disjunct.condpump_to_fwh1 = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump to FWH1" + ) + + # Declare arcs to connect storage charge system to the plant + m.fs.charge_mode_disjunct.rh1_to_esscharg = Arc( + source=m.fs.reheater[1].outlet, + destination=m.fs.charge_mode_disjunct.ess_charge_split.inlet, + doc="Connection from reheater 1 to HP splitter" + ) + m.fs.charge_mode_disjunct.esscharg_to_turb3 = Arc( + source=m.fs.charge_mode_disjunct.ess_charge_split.to_turbine, + destination=m.fs.turbine[3].inlet, + doc="Connection from HP splitter to turbine 3" + ) + m.fs.charge_mode_disjunct.esscharg_to_hxc = Arc( + source=m.fs.charge_mode_disjunct.ess_charge_split.to_hxc, + destination=m.fs.charge_mode_disjunct.hxc.shell_inlet, + doc="Connection from HP splitter to HXC inlet 1" + ) + m.fs.charge_mode_disjunct.hxc_to_hxpump = Arc( + source=m.fs.charge_mode_disjunct.hxc.shell_outlet, + destination=m.fs.charge_mode_disjunct.hx_pump.inlet, + doc="Connection from HXC to HX pump" + ) + + # Declare arcs to connect the mixer 2 to the plant + m.fs.charge_mode_disjunct.fwh9_to_mix2 = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.charge_mode_disjunct.mixer2.from_fwh9, + doc="Connection from FWH9 outlet to mixer2" + ) + m.fs.charge_mode_disjunct.hxpump_to_mix2 = Arc( + source=m.fs.charge_mode_disjunct.hx_pump.outlet, + destination=m.fs.charge_mode_disjunct.mixer2.from_hx_pump, + doc="Connection from HX pump to mixer 2" + ) + m.fs.charge_mode_disjunct.mix2_to_boiler = Arc( + source=m.fs.charge_mode_disjunct.mixer2.outlet, + destination=m.fs.boiler.inlet, + doc="Connection from fwh9 outlet to boiler" + ) + + # Declare constraints to save global variables + m.fs.charge_mode_disjunct.eq_salt_amount_in_charge_storage = pyo.Constraint( + expr=m.fs.salt_storage == m.fs.charge_mode_disjunct.hxc.tube_inlet.flow_mass[0] + ) + m.fs.charge_mode_disjunct.eq_hx_pump_work = pyo.Constraint( + expr=m.fs.hx_pump_work == ( + (1e-6) * (pyunits.MW / pyunits.W) * + m.fs.charge_mode_disjunct.hx_pump.control_volume.work[0] + ) + ) + m.fs.charge_mode_disjunct.eq_discharge_turbine_work = pyo.Constraint( + expr=m.fs.discharge_turbine_work == 0 + ) + + # m.fs.charge_mode_disjunct.eq_charge_heat_duty = pyo.Constraint( + # expr=( + # (1e-6) * (pyunits.MW / pyunits.W) * + # m.fs.charge_mode_disjunct.hxc.heat_duty[0] + # ) <= m.max_storage_heat_duty + # ) + + # Save area and hot salt temperature in global variable + m.fs.charge_mode_disjunct.eq_charge_area = pyo.Constraint( + expr=m.fs.charge_area == m.fs.charge_mode_disjunct.hxc.area + ) + m.fs.charge_mode_disjunct.eq_hot_salt_temperature = pyo.Constraint( + expr=m.fs.hot_salt_temp == m.fs.charge_mode_disjunct.hxc.tube_outlet.temperature[0] + ) + + +def discharge_mode_disjunct_equations(disj): + m = disj.model() + + # Declare units for the discharge storage system: A splitter to + # divert some condensate from the feed water heater train to be + # heated up in the discharge heat exchanger, a discharge heat + # exchanger, and a turbine to produce extra energy. + m.fs.discharge_mode_disjunct.ess_discharge_split = HelmSplitter( + property_package=m.fs.prop_water, + outlet_list=["to_hxd", "to_fwh1"] + ) + + m.fs.discharge_mode_disjunct.hxd = HeatExchanger( + delta_temperature_callback=delta_temperature_underwood_callback, + hot_side_name="shell", + cold_side_name="tube", + shell={"property_package": m.fs.solar_salt_properties}, + tube={"property_package": m.fs.prop_water} + ) + + m.fs.discharge_mode_disjunct.es_turbine = HelmTurbineStage( + property_package=m.fs.prop_water + ) + m.fs.discharge_mode_disjunct.eq_turbine_temperature_out = pyo.Constraint( + expr=( + m.fs.discharge_mode_disjunct.es_turbine.control_volume.properties_out[0].temperature == + m.fs.discharge_mode_disjunct.es_turbine.control_volume.properties_out[0].temperature_sat + 1 + ) + ) + + # Calculate the overall heat transfer coefficient for the Solar + # salt charge heat exchanger. For that, first calculate Reynolds + # number, Prandtl number, and Nusselt number. + solar_hxd = m.fs.discharge_mode_disjunct.hxd + solar_hxd.salt_reynolds_number = pyo.Expression( + expr=( + solar_hxd.shell_inlet.flow_mass[0] + * m.fs.tube_outer_dia + / (m.fs.shell_eff_area + * solar_hxd.hot_side.properties_in[0].visc_d_phase["Liq"]) + ), + doc="Salt Reynolds Number" + ) + solar_hxd.salt_prandtl_number = pyo.Expression( + expr=( + solar_hxd.hot_side.properties_in[0].cp_mass["Liq"] + * solar_hxd.hot_side.properties_in[0].visc_d_phase["Liq"] + / solar_hxd.hot_side.properties_in[0].therm_cond_phase["Liq"] + ), + doc="Salt Prandtl Number" + ) + # Assuming that the wall conditions are same as those at the outlet + solar_hxd.salt_prandtl_wall = pyo.Expression( + expr=( + solar_hxd.hot_side.properties_out[0].cp_mass["Liq"] + * solar_hxd.hot_side.properties_out[0].visc_d_phase["Liq"] + / solar_hxd.hot_side.properties_out[0].therm_cond_phase["Liq"] + ), + doc="Wall Salt Prandtl Number" + ) + solar_hxd.salt_nusselt_number = pyo.Expression( + expr=( + 0.35 * (solar_hxd.salt_reynolds_number**0.6) + * (solar_hxd.salt_prandtl_number**0.4) + * ((solar_hxd.salt_prandtl_number + / solar_hxd.salt_prandtl_wall)**0.25) + * (2**0.2) + ), + doc="Solar Salt Nusslet Number from 2019, App Ener (233-234), 126" + ) + solar_hxd.steam_reynolds_number = pyo.Expression( + expr=( + solar_hxd.tube_inlet.flow_mol[0] + * solar_hxd.cold_side.properties_in[0].mw + * m.fs.tube_inner_dia + / (m.fs.tube_cs_area + * m.fs.n_tubes + * solar_hxd.cold_side.properties_in[0].visc_d_phase["Liq"]) + ), + doc="Steam Reynolds Number" + ) + solar_hxd.steam_prandtl_number = pyo.Expression( + expr=( + (solar_hxd.cold_side.properties_in[0].cp_mol + / solar_hxd.cold_side.properties_in[0].mw) + * solar_hxd.cold_side.properties_in[0].visc_d_phase["Liq"] + / solar_hxd.cold_side.properties_in[0].therm_cond_phase["Liq"] + ), + doc="Steam Prandtl Number" + ) + solar_hxd.steam_nusselt_number = pyo.Expression( + expr=( + 0.023 * (solar_hxd.steam_reynolds_number ** 0.8) + * (solar_hxd.steam_prandtl_number ** (0.33)) + * ((solar_hxd.cold_side.properties_in[0].visc_d_phase["Liq"] + / solar_hxd.cold_side.properties_out[0].visc_d_phase["Vap"] + ) ** 0.14) + ), + doc="Steam Nusslet Number from 2001 Zavoico, Sandia" + ) + + # Calculate discharge heat exchanger salt and steam side heat + # transfer coefficients + solar_hxd.h_salt = pyo.Expression( + expr=( + solar_hxd.hot_side.properties_in[0].therm_cond_phase["Liq"] + * solar_hxd.salt_nusselt_number / m.fs.tube_outer_dia + ), + doc="Salt side convective heat transfer coefficient [W/mK]" + ) + solar_hxd.h_steam = pyo.Expression( + expr=( + solar_hxd.cold_side.properties_in[0].therm_cond_phase["Liq"] + * solar_hxd.steam_nusselt_number / m.fs.tube_inner_dia + ), + doc="Steam side convective heat transfer coefficient [W/mK]" + ) + + @m.fs.discharge_mode_disjunct.hxd.Constraint( + doc="Solar salt discharge heat exchanger overall heat transfer coefficient") + def constraint_hxd_ohtc(b): + return ( + b.overall_heat_transfer_coefficient[0] * + (2 * m.fs.k_steel * + b.h_steam + + m.fs.tube_outer_dia * + m.fs.log_tube_dia_ratio * + b.h_salt * + b.h_steam + + m.fs.tube_dia_ratio * + b.h_salt * + 2 * m.fs.k_steel) + ) == (2 * m.fs.k_steel * + b.h_salt * + b.h_steam) + + # Reconnect arcs that were disconnected in the global model + m.fs.discharge_mode_disjunct.rh1_to_turb3 = Arc( + source=m.fs.reheater[1].outlet, + destination=m.fs.turbine[3].inlet + ) + m.fs.discharge_mode_disjunct.fwh9_to_boiler = Arc( + source=m.fs.fwh[9].tube_outlet, + destination=m.fs.boiler.inlet + ) + + # Declare arcs to connect discharge heat exchanger to plant + m.fs.discharge_mode_disjunct.condpump_to_essdisch = Arc( + source=m.fs.cond_pump.outlet, + destination=m.fs.discharge_mode_disjunct.ess_discharge_split.inlet, + doc="Connection from condenser pump outlet to BFP splitter" + ) + m.fs.discharge_mode_disjunct.essdisch_to_fwh1 = Arc( + source=m.fs.discharge_mode_disjunct.ess_discharge_split.to_fwh1, + destination=m.fs.fwh[1].tube_inlet, + doc="Connection from condenser pump splitter to FWH1" + ) + m.fs.discharge_mode_disjunct.essdisch_to_hxd = Arc( + source=m.fs.discharge_mode_disjunct.ess_discharge_split.to_hxd, + destination=m.fs.discharge_mode_disjunct.hxd.tube_inlet, + doc="Connection from condenser pump splitter to discharge heat exchanger" + ) + m.fs.discharge_mode_disjunct.hxd_to_esturbine = Arc( + source=m.fs.discharge_mode_disjunct.hxd.tube_outlet, + destination=m.fs.discharge_mode_disjunct.es_turbine.inlet, + doc="Connection from discharge heat exchanger to ES turbine" + ) + + + # Save the amount of salt used in the discharge heat exchanger + m.fs.discharge_mode_disjunct.eq_salt_amount_in_discharge_storage = pyo.Constraint( + expr=m.fs.salt_storage == -m.fs.discharge_mode_disjunct.hxd.shell_inlet.flow_mass[0] + ) + + # Fix HX pump work to zero since it does not exist during + # discharge mode and the value is saved in a global variable + m.fs.discharge_mode_disjunct.eq_hx_pump_work = pyo.Constraint( + expr=m.fs.hx_pump_work == 0 + ) + + m.fs.discharge_mode_disjunct.eq_discharge_turbine_work = pyo.Constraint( + expr=m.fs.discharge_turbine_work == ( + (-1e-6) * (pyunits.MW / pyunits.W) * + m.fs.discharge_mode_disjunct.es_turbine.work[0] + ) + ) + + # m.fs.discharge_mode_disjunct.eq_discharge_heat_duty = pyo.Constraint( + # expr=( + # (1e-6) * (pyunits.MW / pyunits.W) * + # m.fs.discharge_mode_disjunct.hxd.heat_duty[0] + + # m.fs.energy_loss + # ) <= m.max_storage_heat_duty + # ) + + m.fs.discharge_mode_disjunct.eq_charge_area = pyo.Constraint( + expr=m.fs.discharge_area == m.fs.discharge_mode_disjunct.hxd.area + ) + + +def _deactivate_arcs(m): + """Deactivate arcs""" + + # Disconnect arcs from ultra supercritical plant base model to + # connect the charge heat exchanger + for arc_s in [m.fs.rh1_to_turb3, + m.fs.fwh9_to_boiler, + m.fs.condpump_to_fwh1]: + arc_s.expanded_block.enth_mol_equality.deactivate() + arc_s.expanded_block.flow_mol_equality.deactivate() + arc_s.expanded_block.pressure_equality.deactivate() + + +def set_model_input(m): + """Define model inputs and fixed variables or parameter values + + The parameter values in this block, unless otherwise stated + explicitly, are either assumed or estimated for a total power out + of 437 MW. + + Unless stated otherwise, the units are: temperature in K, pressure + in Pa, flow in mol/s, massic flow in kg/s, and heat and heat duty + in W + + """ + + ########################################################################### + # Storage heat exchanger section + ########################################################################### + # Add heat exchanger area from supercritical plant model_input. For + # conceptual design optimization, area is unfixed and optimized + m.fs.charge_mode_disjunct.hxc.area.fix(2500) + m.fs.discharge_mode_disjunct.hxd.area.fix(2500) + + # Define storage fluid conditions. The fluid inlet flow is fixed + # during initialization, but is unfixed and determined during + # optimization + m.fs.charge_mode_disjunct.hxc.tube_inlet.flow_mass.fix(140) + m.fs.charge_mode_disjunct.hxc.tube_inlet.temperature.fix(513.15) + m.fs.charge_mode_disjunct.hxc.tube_inlet.pressure.fix(101325) + + m.fs.discharge_mode_disjunct.hxd.shell_inlet.flow_mass.fix(200) + m.fs.discharge_mode_disjunct.hxd.shell_inlet.temperature.fix(853.15) + m.fs.discharge_mode_disjunct.hxd.shell_inlet.pressure.fix(101325) + + # HX pump efficiecncy assumption + m.fs.charge_mode_disjunct.hx_pump.efficiency_pump.fix(0.80) + # m.fs.charge.hx_pump.outlet.pressure[0].fix(m.main_steam_pressure * 1.1231) + + # m.fs.discharge_mode_disjunct.es_turbine.ratioP.fix(0.0286) + m.fs.discharge_mode_disjunct.es_turbine.efficiency_isentropic.fix(0.8) + + ########################################################################### + # ESS VHP and HP splitters # + ########################################################################### + # The model is built for a fixed flow of steam through the + # charger. This flow of steam to the charger is unfixed and + # determine during design optimization + m.fs.charge_mode_disjunct.ess_charge_split.split_fraction[0, "to_hxc"].fix(0.1) + m.fs.discharge_mode_disjunct.ess_discharge_split.split_fraction[0, "to_hxd"].fix(0.1) + + # Fix global variables + # m.fs.hx_pump_work.fix(0) + # m.fs.discharge_turbine_work.fix(0) + + +def set_scaling_factors(m): + """Scaling factors in the flowsheet + + """ + + # Include scaling factors for Solar salt charge and discharge heat + # exchanger. + for fluid in [m.fs.charge_mode_disjunct.hxc, + m.fs.discharge_mode_disjunct.hxd]: + iscale.set_scaling_factor(fluid.area, 1e-2) + iscale.set_scaling_factor( + fluid.overall_heat_transfer_coefficient, 1e-3) + iscale.set_scaling_factor(fluid.shell.heat, 1e-6) + iscale.set_scaling_factor(fluid.tube.heat, 1e-6) + + iscale.set_scaling_factor(m.fs.charge_mode_disjunct.hx_pump.control_volume.work, 1e-6) + iscale.set_scaling_factor(m.fs.discharge_mode_disjunct.es_turbine.control_volume.work, 1e-6) + + # Calculate scaling factors + iscale.calculate_scaling_factors(m) + + +def set_var_scaling(m): + iscale.set_scaling_factor(m.fs.fuel_cost, 1e-3) + iscale.set_scaling_factor(m.fs.plant_fixed_operating_cost, 1e-3) + iscale.set_scaling_factor(m.fs.plant_variable_operating_cost, 1e-3) + # iscale.set_scaling_factor(m.fs.plant_capital_cost, 1e-3) + + iscale.set_scaling_factor(m.fs.salt_amount, 1e-3) + iscale.set_scaling_factor(m.fs.salt_inventory_hot, 1e-3) + iscale.set_scaling_factor(m.fs.salt_inventory_cold, 1e-3) + iscale.set_scaling_factor(m.fs.previous_salt_inventory_hot, 1e-3) + iscale.set_scaling_factor(m.fs.previous_salt_inventory_cold, 1e-3) + + iscale.set_scaling_factor(m.fs.constraint_salt_inventory_hot, 1e-3) + + iscale.set_scaling_factor(m.fs.charge_mode_disjunct.capital_cost, 1e-3) + iscale.set_scaling_factor(m.fs.discharge_mode_disjunct.capital_cost, 1e-3) + # iscale.set_scaling_factor(m.fs.storage_capital_cost, 1e-3) + + # Calculate scaling factors + iscale.calculate_scaling_factors(m) + + +def initialize(m, + solver=None, + deact_arcs_after_init=None, + outlvl=idaeslog.WARNING, + optarg={"tol": 1e-8, "max_iter": 300}): + """Initialize the units included in the charge model + """ + print() + print('>> Start initialization of charge units in ultra-supercritical plant') + # print(' {} DOFs before initialization'.format(degrees_of_freedom(m))) + + optarg = { + "max_iter": 300, + "halt_on_ampl_error": "yes", + } + solver = get_solver(solver, optarg) + + # Include scaling factors + set_scaling_factors(m) + # iscale.calculate_scaling_factors(m) + + # Initialize all units in charge mode operation + propagate_state(m.fs.charge_mode_disjunct.rh1_to_esscharg) + m.fs.charge_mode_disjunct.ess_charge_split.initialize(outlvl=outlvl, + optarg=solver.options) + propagate_state(m.fs.charge_mode_disjunct.esscharg_to_hxc) + m.fs.charge_mode_disjunct.hxc.initialize(outlvl=outlvl, + optarg=solver.options) + + if not deact_arcs_after_init: + # Reinitialize and fix turbine 3 inlet since the arc is + # disconnected + propagate_state(m.fs.charge_mode_disjunct.esscharg_to_turb3) + m.fs.turbine[3].inlet.fix() + m.fs.turbine[3].initialize(outlvl=outlvl, + optarg=solver.options) + + propagate_state(m.fs.charge_mode_disjunct.hxc_to_hxpump) + m.fs.charge_mode_disjunct.hx_pump.initialize(outlvl=outlvl, + optarg=solver.options) + + # Fix value of global variable + m.fs.hx_pump_work.fix((1e-6) * (pyunits.MW / pyunits.W) * + m.fs.charge_mode_disjunct.hx_pump.control_volume.work[0].value) + + propagate_state(m.fs.charge_mode_disjunct.fwh9_to_mix2) + propagate_state(m.fs.charge_mode_disjunct.hxpump_to_mix2) + m.fs.charge_mode_disjunct.mixer2.initialize(outlvl=outlvl) + + # Initialize all units in discharge mode operation + propagate_state(m.fs.discharge_mode_disjunct.condpump_to_essdisch) + m.fs.discharge_mode_disjunct.ess_discharge_split.initialize(outlvl=outlvl, + optarg=solver.options) + propagate_state(m.fs.discharge_mode_disjunct.essdisch_to_hxd) + m.fs.discharge_mode_disjunct.hxd.initialize(outlvl=outlvl, + optarg=solver.options) + propagate_state(m.fs.discharge_mode_disjunct.hxd_to_esturbine) + m.fs.discharge_mode_disjunct.es_turbine.initialize(outlvl=outlvl, + optarg=solver.options) + # Fix value of global variable + m.fs.discharge_turbine_work.fix((-1e-6) * (pyunits.MW / pyunits.W) * + m.fs.discharge_mode_disjunct.es_turbine.work[0].value) + + if not deact_arcs_after_init: + # Reinitialize FWH8 using bfp outlet + m.fs.fwh[8].fwh_vfrac_constraint.deactivate() + m.fs.fwh[8].tube_inlet.flow_mol.fix(m.fs.bfp.outlet.flow_mol[0]) + m.fs.fwh[8].tube_inlet.enth_mol.fix(m.fs.bfp.outlet.enth_mol[0]) + m.fs.fwh[8].tube_inlet.pressure.fix(m.fs.bfp.outlet.pressure[0]) + m.fs.fwh[8].initialize(outlvl=outlvl, + optarg=solver.options) + m.fs.fwh[8].fwh_vfrac_constraint.activate() + + # Check and raise an error if the degrees of freedom are not 0 + # print(' {} DOFs before initialization solution'.format(degrees_of_freedom(m))) + if not degrees_of_freedom(m) == 0: + raise ConfigurationError( + "The degrees of freedom after building the model are not 0. " + "You have {} degrees of freedom. " + "Please check your inputs to ensure a square problem " + "before initializing the model.".format(degrees_of_freedom(m)) + ) + + res = solver.solve(m, + tee=False, + symbolic_solver_labels=True, + options=optarg) + + print(" **Solver termination for Charge Model Initialization:", + res.solver.termination_condition) + # print(' {} DOFs after initialization solution'.format(degrees_of_freedom(m))) + print('>> End initialization of charge units in ultra-supercritical plant') + print() + + +def build_costing(m): + """Add cost correlations for the storage design analysis. + + This function is used to estimate the capital and operatig cost of + integrating an energy storage system. It contains cost + correlations to estimate: (i) the capital cost of charge heat + exchanger and salt inventory and (ii) the operating costs for 1 + year. + + """ + + ############################################################## + # Add capital cost + # 1. Calculate change and discharge heat exchangers costs + # 2. Calculate total capital cost for charge and discharge heat + # exchangers + ############################################################## + + # Add IDAES costing method + m.fs.costing = SSLWCosting() + + ###### 1. Calculate charge and discharge heat exchangers costs + # Calculate and initialize the Solar salt charge and discharge + # heat exchangers coss, which are estimated using the IDAES + # costing method with default options, i.e., a U-tube heat + # exchanger, stainless steel material, and a tube length of + # 12ft. Refer to costing documentation to change any of the + # default options. The purchase cost of heat exchanger has to be + # annualized when used + for storage_hx in [m.fs.charge_mode_disjunct.hxc, + m.fs.discharge_mode_disjunct.hxd]: + storage_hx.costing = UnitModelCostingBlock( + flowsheet_costing_block=m.fs.costing, + costing_method=SSLWCostingData.cost_heat_exchanger + ) + + ###### 2. Calculate total capital cost for charge and discharge + ###### heat exchangers + m.fs.charge_mode_disjunct.capital_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e7), + doc="Capital cost of charge heat exchanger in $/h") + def charge_solar_cap_cost_rule(b): + return b.capital_cost == ( + m.fs.charge_mode_disjunct.hxc.costing.capital_cost / + (m.fs.num_of_years * 365 * 24) + ) + m.fs.charge_mode_disjunct.cap_cost_eq = pyo.Constraint( + rule=charge_solar_cap_cost_rule) + + m.fs.discharge_mode_disjunct.capital_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e7), + doc="Capital cost of discharge heat exhcnager in $/h") + def discharge_solar_cap_cost_rule(b): + return b.capital_cost == ( + m.fs.discharge_mode_disjunct.hxd.costing.capital_cost / + (m.fs.num_of_years * 365 * 24) + ) + m.fs.discharge_mode_disjunct.cap_cost_eq = pyo.Constraint( + rule=discharge_solar_cap_cost_rule) + + # Save total storage annual capital cost at global level + m.fs.storage_capital_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e7), + doc="Annualized capital cost for solar salt in $/h") + + m.fs.no_storage_mode_disjunct.capital_cost_eq_constraint = pyo.Constraint( + expr=m.fs.storage_capital_cost == 0 + ) + m.fs.charge_mode_disjunct.capital_cost_eq_constraint = pyo.Constraint( + expr=m.fs.storage_capital_cost == m.fs.charge_mode_disjunct.capital_cost + ) + m.fs.discharge_mode_disjunct.capital_cost_eq_constraint = pyo.Constraint( + expr=m.fs.storage_capital_cost == m.fs.discharge_mode_disjunct.capital_cost + ) + + ########################################################################### + # Annual operating cost + ########################################################################### + m.fs.operating_hours = pyo.Expression( + expr=365 * 3600 * m.fs.hours_per_day, + doc="Number of operating hours per year") + m.fs.fuel_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e12), + doc="Operating cost in $/h") + + def fuel_cost_rule(b): + return b.fuel_cost == ( + b.operating_hours * + b.coal_price * + (b.coal_heat_duty * 1e6) + ) / (365 * 24) + m.fs.fuel_cost_eq = pyo.Constraint(rule=fuel_cost_rule) + + ########################################################################### + # Add capital and operating cost for full plant + ########################################################################### + + # Calculate capital cost for power plant + # m.fs.plant_capital_cost = pyo.Var( + # initialize=1000000, + # bounds=(0, 1e12), + # doc="Plant capital cost in $/hour") + m.fs.plant_fixed_operating_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e12), + doc="Plant fixed operating cost in $/hour") + m.fs.plant_variable_operating_cost = pyo.Var( + initialize=1000000, + bounds=(0, 1e12), + doc="Plant variable operating cost in $/hour") + + # def plant_cap_cost_rule(b): + # return m.fs.plant_capital_cost == ( + # ((2688973 * m.fs.plant_power_out[0] + # + 618968072) / + # (m.fs.num_of_years * 365 * 24) + # ) * (m.CE_index / 575.4) + # ) + # m.fs.plant_cap_cost_eq = pyo.Constraint(rule=plant_cap_cost_rule) + + def op_fixed_plant_cost_rule(b): + return b.plant_fixed_operating_cost == ( + ((16657.5 * b.plant_power_out[0] + + 6109833.3) / + (b.num_of_years * 365 * 24) + ) * (m.CE_index / 575.4) + ) + m.fs.op_fixed_plant_cost_eq = pyo.Constraint(rule=op_fixed_plant_cost_rule) + + def op_variable_plant_cost_rule(b): + return b.plant_variable_operating_cost == ( + (31754.7 * b.plant_power_out[0] + ) * (m.CE_index / 575.4) + ) / (365 * 24) + m.fs.op_variable_plant_cost_eq = pyo.Constraint( + rule=op_variable_plant_cost_rule) + + return m + + +def initialize_with_costing(m): + + optarg = { + "tol": 1e-8, + "max_iter": 300, + "halt_on_ampl_error": "yes", + } + solver = get_solver('ipopt', optarg) + + # Fix operating cost variable to initialize cost in a square + # problem + # m.fs.fuel_cost.fix(1e6) + + # Initialize capital costs for charge and discharge heat + # exchangers + calculate_variable_from_constraint( + m.fs.charge_mode_disjunct.capital_cost, + m.fs.charge_mode_disjunct.cap_cost_eq) + calculate_variable_from_constraint( + m.fs.discharge_mode_disjunct.capital_cost, + m.fs.discharge_mode_disjunct.cap_cost_eq) + + # Initialize operating cost + calculate_variable_from_constraint( + m.fs.fuel_cost, + m.fs.fuel_cost_eq) + + # # Initialize capital cost of power plant + # calculate_variable_from_constraint( + # m.fs.plant_capital_cost, + # m.fs.plant_cap_cost_eq) + + # Initialize plant fixed and variable operating costs + calculate_variable_from_constraint( + m.fs.plant_fixed_operating_cost, + m.fs.op_fixed_plant_cost_eq) + calculate_variable_from_constraint( + m.fs.plant_variable_operating_cost, + m.fs.op_variable_plant_cost_eq) + + print() + print('>> Start initialization of costing correlations') + + # Check and raise an error if the degrees of freedom are not 0 + # print(' {} DOFs before cost initialization'.format(degrees_of_freedom(m))) + if not degrees_of_freedom(m) == 0: + raise ConfigurationError( + "The degrees of freedom after building the model are not 0. " + "You have {} degrees of freedom. " + "Please check your inputs to ensure a square problem " + "before initializing the model.".format(degrees_of_freedom(m)) + ) + + res = solver.solve(m, + tee=False, + symbolic_solver_labels=True, + options=optarg) + print(" **Solver termination in cost initialization: ", + res.solver.termination_condition) + print('>> End initialization of costing correlations') + print() + + +def calculate_bounds(m): + m.fs.temperature_degrees = 5 + + # Calculate bounds for solar salt from properties expressions + m.fs.solar_salt_temperature_max = 853.15 + m.fs.temperature_degrees # in K + m.fs.solar_salt_temperature_min = 513.15 - m.fs.temperature_degrees # in K + # Note: min/max interchanged because at max temperature we obtain the min value + m.fs.solar_salt_enth_mass_max = ( + (m.fs.solar_salt_properties.cp_param_1.value * + (m.fs.solar_salt_temperature_max - 273.15)) + + (m.fs.solar_salt_properties.cp_param_2.value * 0.5 * \ + (m.fs.solar_salt_temperature_max - 273.15)**2) + ) + m.fs.solar_salt_enth_mass_min = ( + (m.fs.solar_salt_properties.cp_param_1.value * + (m.fs.solar_salt_temperature_min - 273.15)) + + (m.fs.solar_salt_properties.cp_param_2.value * 0.5 * \ + (m.fs.solar_salt_temperature_min - 273.15)**2) + ) + + m.fs.salt_enth_mass_max = m.fs.solar_salt_enth_mass_max + m.fs.salt_enth_mass_min = m.fs.solar_salt_enth_mass_min + + # print(' **Calculate bounds for solar salt') + # print(' Mass enthalpy max: {: >4.4f}, min: {: >4.4f}'.format( + # m.fs.solar_salt_enth_mass_max, m.fs.solar_salt_enth_mass_min)) + + +def add_bounds(m): + """Add bounds to units in charge model + + """ + + calculate_bounds(m) + + # Unless stated otherwise, the temperature is in K, pressure in + # Pa, flow in mol/s, massic flow in kg/s, and heat and heat duty + # in W + m.flow_max = m.main_flow * 3 # Units in mol/s + m.flow_min = 11804 # Units in mol/s + m.heat_duty_max = (m.max_storage_heat_duty * 1e6) # Units in MW + m.factor = 2.5 + m.flow_max_storage = 0.2 * m.flow_max + m.flow_min_storage = 1e-3 + + # Turbines + for k in m.set_turbine: + m.fs.turbine[k].work.setlb(-1e10) + m.fs.turbine[k].work.setub(0) + + # Booster + for unit_k in [m.fs.booster]: + unit_k.inlet.flow_mol[:].setlb(m.flow_min_storage) + unit_k.inlet.flow_mol[:].setub(m.flow_max) + unit_k.outlet.flow_mol[:].setlb(m.flow_min_storage) + unit_k.outlet.flow_mol[:].setub(m.flow_max) + + # Turbine splitters flow + for k in m.set_turbine_splitter: + m.fs.turbine_splitter[k].inlet.flow_mol[:].setlb(m.flow_min_storage) + m.fs.turbine_splitter[k].inlet.flow_mol[:].setub(m.flow_max) + m.fs.turbine_splitter[k].outlet_1.flow_mol[:].setlb(m.flow_min_storage) + m.fs.turbine_splitter[k].outlet_1.flow_mol[:].setub(m.flow_max) + m.fs.turbine_splitter[k].outlet_2.flow_mol[:].setlb(m.flow_min_storage) + m.fs.turbine_splitter[k].outlet_2.flow_mol[:].setub(m.flow_max) + + # Add bounds to all units in charge mode + for unit_in_charge in [m.fs.charge_mode_disjunct]: + # Charge heat exchanger (HXC) + unit_in_charge.hxc.shell_inlet.flow_mol.setlb(m.flow_min_storage) + unit_in_charge.hxc.shell_inlet.flow_mol.setub(m.flow_max_storage) + unit_in_charge.hxc.tube_inlet.flow_mass.setlb(m.flow_min_storage) + unit_in_charge.hxc.tube_inlet.flow_mass.setub(m.max_salt_flow) + unit_in_charge.hxc.shell_outlet.flow_mol.setlb(m.flow_min_storage) + unit_in_charge.hxc.shell_outlet.flow_mol.setub(m.flow_max_storage) + unit_in_charge.hxc.tube_outlet.flow_mass.setlb(m.flow_min_storage) + unit_in_charge.hxc.tube_outlet.flow_mass.setub(m.max_salt_flow) + unit_in_charge.hxc.tube_inlet.pressure.setlb(101320) + unit_in_charge.hxc.tube_inlet.pressure.setub(101330) + unit_in_charge.hxc.tube_outlet.pressure.setlb(101320) + unit_in_charge.hxc.tube_outlet.pressure.setub(101330) + unit_in_charge.hxc.heat_duty.setlb(0) + unit_in_charge.hxc.heat_duty.setub(m.heat_duty_max) + unit_in_charge.hxc.shell.heat.setlb(-m.heat_duty_max) + unit_in_charge.hxc.shell.heat.setub(0) + unit_in_charge.hxc.tube.heat.setlb(0) + unit_in_charge.hxc.tube.heat.setub(m.heat_duty_max) + unit_in_charge.hxc.tube.properties_in[:].enth_mass.setlb( + m.fs.salt_enth_mass_min / m.factor) + unit_in_charge.hxc.tube.properties_in[:].enth_mass.setub( + m.fs.salt_enth_mass_max * m.factor) + unit_in_charge.hxc.tube.properties_out[:].enth_mass.setlb( + m.fs.salt_enth_mass_min / m.factor) + unit_in_charge.hxc.tube.properties_out[:].enth_mass.setub( + m.fs.salt_enth_mass_max * m.factor) + # unit_in_charge.hxc.tube.properties_in[:].enth_mass.setlb(1) + # unit_in_charge.hxc.tube.properties_in[:].enth_mass.setub(1.5e6) + # unit_in_charge.hxc.tube.properties_out[:].enth_mass.setlb(1) + # unit_in_charge.hxc.tube.properties_out[:].enth_mass.setub(1.5e6) + unit_in_charge.hxc.overall_heat_transfer_coefficient.setlb(1) + unit_in_charge.hxc.overall_heat_transfer_coefficient.setub(10000) + unit_in_charge.hxc.area.setlb(m.min_area) + unit_in_charge.hxc.area.setub(m.max_area) + unit_in_charge.hxc.delta_temperature_in.setlb(9) + unit_in_charge.hxc.delta_temperature_out.setlb(5) + unit_in_charge.hxc.delta_temperature_in.setub(120) + unit_in_charge.hxc.delta_temperature_out.setub(100) + unit_in_charge.hxc.costing.pressure_factor.setlb(0) + unit_in_charge.hxc.costing.pressure_factor.setub(1e6) + unit_in_charge.hxc.costing.capital_cost.setlb(0) + unit_in_charge.hxc.costing.capital_cost.setub(1e8) + unit_in_charge.hxc.costing.base_cost_per_unit.setlb(0) + unit_in_charge.hxc.costing.base_cost_per_unit.setub(1e8) + unit_in_charge.hxc.costing.material_factor.setlb(0) + unit_in_charge.hxc.costing.material_factor.setub(100) + + # HX pump + for unit_k in [unit_in_charge.hx_pump]: + unit_k.inlet.flow_mol.setlb(0) + unit_k.inlet.flow_mol.setub(m.flow_max_storage) + unit_k.outlet.flow_mol.setlb(0) + unit_k.outlet.flow_mol.setub(m.flow_max_storage) + unit_k.deltaP.setlb(0) + unit_k.deltaP.setub(1e10) + unit_in_charge.hx_pump.work_mechanical[0].setlb(0) + unit_in_charge.hx_pump.work_mechanical[0].setub(1e10) + unit_in_charge.hx_pump.ratioP.setlb(0) + unit_in_charge.hx_pump.ratioP.setub(100) + unit_in_charge.hx_pump.work_fluid[0].setlb(0) + unit_in_charge.hx_pump.work_fluid[0].setub(1e8) + unit_in_charge.hx_pump.efficiency_pump[0].setlb(0) + unit_in_charge.hx_pump.efficiency_pump[0].setub(1) + + # HP splitter + unit_in_charge.ess_charge_split.inlet.flow_mol[:].setlb(m.flow_min_storage) + unit_in_charge.ess_charge_split.inlet.flow_mol[:].setub(m.flow_max) + unit_in_charge.ess_charge_split.to_hxc.flow_mol[:].setlb(m.flow_min_storage) + unit_in_charge.ess_charge_split.to_hxc.flow_mol[:].setub(m.flow_max_storage) + unit_in_charge.ess_charge_split.to_turbine.flow_mol[:].setlb(m.flow_min_storage) + unit_in_charge.ess_charge_split.to_turbine.flow_mol[:].setub(m.flow_max) + unit_in_charge.ess_charge_split.split_fraction[0.0, "to_hxc"].setlb(0) + unit_in_charge.ess_charge_split.split_fraction[0.0, "to_hxc"].setub(1) + unit_in_charge.ess_charge_split.split_fraction[0.0, "to_turbine"].setlb(0) + unit_in_charge.ess_charge_split.split_fraction[0.0, "to_turbine"].setub(1) + + # Mixer 2 + unit_in_charge.mixer2.from_fwh9.flow_mol.setlb(m.flow_min_storage) + unit_in_charge.mixer2.from_fwh9.flow_mol.setub(m.flow_max) + unit_in_charge.mixer2.from_hx_pump.flow_mol.setlb(0) + unit_in_charge.mixer2.from_hx_pump.flow_mol.setub(m.flow_max_storage) + unit_in_charge.mixer2.outlet.flow_mol.setlb(0) + unit_in_charge.mixer2.outlet.flow_mol.setub(m.flow_max) + + + # Add bounds to all units in discharge mode + for unit_in_discharge in [m.fs.discharge_mode_disjunct]: + # Discharge heat exchanger (HXD) + unit_in_discharge.hxd.shell_inlet.flow_mass.setlb(m.flow_min_storage) + unit_in_discharge.hxd.shell_inlet.flow_mass.setub(m.max_salt_flow) + unit_in_discharge.hxd.shell_outlet.flow_mass.setlb(m.flow_min_storage) + unit_in_discharge.hxd.shell_outlet.flow_mass.setub(m.max_salt_flow) + unit_in_discharge.hxd.tube_inlet.flow_mol.setlb(m.flow_min_storage) + unit_in_discharge.hxd.tube_inlet.flow_mol.setub(m.flow_max_storage) + unit_in_discharge.hxd.tube_outlet.flow_mol.setlb(m.flow_min_storage) + unit_in_discharge.hxd.tube_outlet.flow_mol.setub(m.flow_max_storage) + unit_in_discharge.hxd.shell_inlet.pressure.setlb(101320) + unit_in_discharge.hxd.shell_inlet.pressure.setub(101330) + unit_in_discharge.hxd.shell_outlet.pressure.setlb(101320) + unit_in_discharge.hxd.shell_outlet.pressure.setub(101330) + unit_in_discharge.hxd.heat_duty.setlb(0) + unit_in_discharge.hxd.heat_duty.setub(m.heat_duty_max) + unit_in_discharge.hxd.tube.heat.setlb(0) + unit_in_discharge.hxd.tube.heat.setub(m.heat_duty_max) + unit_in_discharge.hxd.shell.heat.setlb(-m.heat_duty_max) + unit_in_discharge.hxd.shell.heat.setub(0) + unit_in_discharge.hxd.shell.properties_in[:].enth_mass.setlb( + m.fs.salt_enth_mass_min / m.factor) + unit_in_discharge.hxd.shell.properties_in[:].enth_mass.setub( + m.fs.salt_enth_mass_max * m.factor) + unit_in_discharge.hxd.shell.properties_out[:].enth_mass.setlb( + m.fs.salt_enth_mass_min / m.factor) + unit_in_discharge.hxd.shell.properties_out[:].enth_mass.setub( + m.fs.salt_enth_mass_max * m.factor) + # unit_in_discharge.hxd.shell.properties_in[:].enth_mass.setlb(1) + # unit_in_discharge.hxd.shell.properties_in[:].enth_mass.setub(1.5e6) + # unit_in_discharge.hxd.shell.properties_out[:].enth_mass.setlb(1) + # unit_in_discharge.hxd.shell.properties_out[:].enth_mass.setub(1.5e6) + unit_in_discharge.hxd.overall_heat_transfer_coefficient.setlb(1) + unit_in_discharge.hxd.overall_heat_transfer_coefficient.setub(10000) + unit_in_discharge.hxd.area.setlb(m.min_area) + unit_in_discharge.hxd.area.setub(m.max_area) + unit_in_discharge.hxd.delta_temperature_in.setlb(5) + unit_in_discharge.hxd.delta_temperature_out.setlb(10) + unit_in_discharge.hxd.delta_temperature_in.setub(350) + unit_in_discharge.hxd.delta_temperature_out.setub(500) + unit_in_discharge.hxd.costing.pressure_factor.setlb(0) + unit_in_discharge.hxd.costing.pressure_factor.setub(1e5) + unit_in_discharge.hxd.costing.capital_cost.setlb(0) + unit_in_discharge.hxd.costing.capital_cost.setub(1e8) + unit_in_discharge.hxd.costing.base_cost_per_unit.setlb(0) + unit_in_discharge.hxd.costing.base_cost_per_unit.setub(1e8) + unit_in_discharge.hxd.costing.material_factor.setlb(0) + unit_in_discharge.hxd.costing.material_factor.setub(100) + + + # BFP splitter + unit_in_discharge.ess_discharge_split.inlet.flow_mol[:].setlb(m.flow_min_storage) + unit_in_discharge.ess_discharge_split.inlet.flow_mol[:].setub(m.flow_max) + unit_in_discharge.ess_discharge_split.to_hxd.flow_mol[:].setlb(m.flow_min_storage) + unit_in_discharge.ess_discharge_split.to_hxd.flow_mol[:].setub(m.flow_max_storage) + unit_in_discharge.ess_discharge_split.to_fwh1.flow_mol[:].setlb(0) + unit_in_discharge.ess_discharge_split.to_fwh1.flow_mol[:].setub(m.flow_max) + unit_in_discharge.ess_discharge_split.split_fraction[0.0, "to_hxd"].setlb(0) + unit_in_discharge.ess_discharge_split.split_fraction[0.0, "to_hxd"].setub(1) + unit_in_discharge.ess_discharge_split.split_fraction[0.0, "to_fwh1"].setlb(0) + unit_in_discharge.ess_discharge_split.split_fraction[0.0, "to_fwh1"].setub(1) + + # ES Turbine + unit_in_discharge.es_turbine.inlet.flow_mol[:].setlb(m.flow_min_storage) + unit_in_discharge.es_turbine.inlet.flow_mol[:].setub(m.flow_max_storage) + unit_in_discharge.es_turbine.outlet.flow_mol[:].setlb(m.flow_min_storage) + unit_in_discharge.es_turbine.outlet.flow_mol[:].setub(m.flow_max_storage) + unit_in_discharge.es_turbine.deltaP.setlb(-1e10) + unit_in_discharge.es_turbine.deltaP.setub(1e10) + unit_in_discharge.es_turbine.work.setlb(-1e12) + unit_in_discharge.es_turbine.work.setub(0) + unit_in_discharge.es_turbine.efficiency_isentropic.setlb(0) + unit_in_discharge.es_turbine.efficiency_isentropic.setub(1) + unit_in_discharge.es_turbine.ratioP.setlb(0) + unit_in_discharge.es_turbine.ratioP.setub(100) + unit_in_discharge.es_turbine.efficiency_mech.setlb(0) + unit_in_discharge.es_turbine.efficiency_mech.setub(1) + unit_in_discharge.es_turbine.shaft_speed.setlb(0) + unit_in_discharge.es_turbine.shaft_speed.setub(1000) + + +def main(method=None, + max_power=None, + load_init_file=None, + path_init_file=None, + deact_arcs_after_init=None, + energy_loss=None, + solver=None): + + if load_init_file: + # Build ultra-supercritical plant model and initialize it + m = usc.build_plant_model() + + # Create a flowsheet, add properties, unit models, and arcs + m = create_gdp_model(m, + method=method, + max_power=max_power, + deact_arcs_after_init=deact_arcs_after_init, + energy_loss=energy_loss) + + # Set required inputs to the model to have a square problem for + # initialization + set_model_input(m) + + # Add scaling factors + set_scaling_factors(m) + + # Add cost correlations + m = build_costing(m) + + # Initialize using .json file (with bounds) + ms.from_json(m, fname=path_init_file) + print() + print('>>>>> Initializing model using .json file: {}'.format(path_init_file)) + + # Add bounds + add_bounds(m) + + else: + # Build ultra-supercritical plant model and initialize it + m = usc.build_plant_model() + print() + print('>> Start initialization of ultra-supercritical plant base model') + usc.initialize(m) + print('>> End initialization of ultra-supercritical plant base model') + + # Create a flowsheet, add properties, unit models, and arcs + m = create_gdp_model(m, + method=method, + max_power=max_power, + deact_arcs_after_init=deact_arcs_after_init, + energy_loss=energy_loss) + + # Set required inputs to the model to have a square problem for + # initialization + set_model_input(m) + + # Add scaling factors + set_scaling_factors(m) + + # Initialize the model with a sequential initialization and custom + # routines + initialize(m, deact_arcs_after_init=deact_arcs_after_init) + + # Add cost correlations + m = build_costing(m) + # print('DOF after costing: ', degrees_of_freedom(m)) + + # Initialize costing + initialize_with_costing(m) + + # Add bounds + add_bounds(m) + + # Calculate and store initialization file + ms.to_json(m, fname=path_init_file) + print() + print('>>>>> Saving initialization .json file in {}'.format(path_init_file)) + + + # Add disjunctions + add_disjunction(m) + + if deact_arcs_after_init: + # Deactivate arcs + _deactivate_arcs(m) + + return m + + +def print_results(m, results): + + m.fs.condenser_mix.makeup.display() + + print('================================') + print() + print("***************** Optimization Results ******************") + print('Obj ($/h): {:.4f}'.format(value(m.obj) / m.scaling_obj)) + print('Revenue ($/h): {:.4f}'.format( + value(m.fs.revenue))) + # print('Plant capital cost ($/h): {:.4f}'.format( + # value(m.fs.plant_capital_cost))) + print('Plant fixed operating costs ($/h): {:.4f}'.format( + value(m.fs.plant_fixed_operating_cost))) + print('Plant variable operating costs ($/h): {:.4f}'.format( + value(m.fs.plant_variable_operating_cost))) + print('Coal Cost (fuel) ($/h): {:.4f}'.format( + value(m.fs.fuel_cost))) + print('Storage Capital Cost ($/h): {:.4f}'.format( + value(m.fs.storage_capital_cost))) + print() + print("***************** Tank Results ******************") + print('Hot Salt Inventory (mton): {:.4f}, prev: {:.4f}'.format( + value(m.fs.salt_inventory_hot), + value(m.fs.previous_salt_inventory_hot))) + print('Cold Salt Inventory (mton): {:.4f}, prev: {:.4f}'.format( + value(m.fs.salt_inventory_cold), + value(m.fs.previous_salt_inventory_cold))) + print('Salt to storage (mton): {:.4f}'.format( + value(m.fs.salt_storage))) + print('Salt Amount (mton): {:.4f}'.format( + value(m.fs.salt_amount))) + print('') + print("***************** Power Plant Operation ******************") + print('') + print('Net Power (MW): {:.4f}'.format( + value(m.fs.net_power))) + print('Plant Power (MW): {:.4f}'.format( + value(m.fs.plant_power_out[0]))) + print('Discharge turbine power (MW) [ES turbine Power]: {:.4f} [{:.4f}]'.format( + value(m.fs.discharge_turbine_work), + value(m.fs.discharge_mode_disjunct.es_turbine.work_mechanical[0]) * (-1e-6))) + print('HX pump work (MW): {:.4f}'.format( + value(m.fs.hx_pump_work))) + print('Boiler feed water flow (mol/s): {:.4f}'.format( + value(m.fs.boiler.inlet.flow_mol[0]))) + print('Boiler (plant) heat duty (MW_th): {:.4f}'.format( + value(m.fs.plant_heat_duty[0]))) + print('Makeup water flow: {:.4f}'.format( + value(m.fs.condenser_mix.makeup.flow_mol[0]))) + print() + # print('Boiler efficiency (%): boiler: {:.4f}'.format( + # value(m.fs.boiler_efficiency) * 100)) + print('Boiler/Cycle efficiencies (%): boiler: {:.4f}, cycle: {:.4f}'.format( + value(m.fs.boiler_efficiency) * 100, + value(m.fs.cycle_efficiency) * 100)) + print() + if m.fs.charge_mode_disjunct.binary_indicator_var.value == 1: + print("***************** Charge Heat Exchanger (HXC) ******************") + print('HXC area (m2): {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.area))) + print('HXC heat duty (MW): {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.heat_duty[0]) * 1e-6)) + print('HXC salt flow (kg/s): {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.tube_inlet.flow_mass[0]))) + print('HXC steam flow to storage (mol/s): {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.shell_inlet.flow_mol[0]))) + print('HXC salt temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.tube_inlet.temperature[0]), + value(m.fs.charge_mode_disjunct.hxc.tube_outlet.temperature[0]))) + print('HXC water temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.hot_side.properties_in[0].temperature), + value(m.fs.charge_mode_disjunct.hxc.hot_side.properties_out[0].temperature))) + print('HXC delta temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.charge_mode_disjunct.hxc.delta_temperature_in[0]), + value(m.fs.charge_mode_disjunct.hxc.delta_temperature_out[0]))) + print('') + elif m.fs.discharge_mode_disjunct.binary_indicator_var.value == 1: + print("*************** Discharge Heat Exchanger (HXD) ****************") + print('') + print('HXD area (m2): {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.area))) + print('HXD heat duty (MW): {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.heat_duty[0]) * 1e-6)) + print('HXD salt flow (kg/s): {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.shell_inlet.flow_mass[0]))) + print('HXD Steam flow to storage (mol/s): {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.tube_inlet.flow_mol[0]))) + print('HXD salt temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.shell_inlet.temperature[0]), + value(m.fs.discharge_mode_disjunct.hxd.shell_outlet.temperature[0]))) + print('HXD water temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.cold_side.properties_in[0].temperature), + value(m.fs.discharge_mode_disjunct.hxd.cold_side.properties_out[0].temperature))) + print('HXD delta temperature (K): in: {:.4f}, out: {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.hxd.delta_temperature_in[0]), + value(m.fs.discharge_mode_disjunct.hxd.delta_temperature_out[0]))) + print('ES Turbine work (MW): {:.4f}'.format( + value(m.fs.discharge_mode_disjunct.es_turbine.work[0]) * -1e-6)) + print('') + + print('') + print('Solver details') + print(results) + print(' ') + print('==============================================================') + + +def print_reports(m): + + print('') + for unit_k in [m.fs.boiler, m.fs.reheater[1], + m.fs.reheater[2], + m.fs.bfp, m.fs.bfpt, + m.fs.booster, + m.fs.condenser_mix, + m.fs.charge.hxc]: + unit_k.display() + + for k in RangeSet(11): + m.fs.turbine[k].report() + for k in RangeSet(11): + m.fs.turbine[k].display() + for j in RangeSet(9): + m.fs.fwh[j].report() + for j in m.set_fwh_mixer: + m.fs.fwh_mixer[j].display() + +def print_model(_, nlp_model, nlp_data): + + print(' ___________________________________________') + if nlp_model.fs.charge_mode_disjunct.indicator_var.value == 1: + print(' Disjunction 1: Charge mode is selected') + print(' HXC area (m2): {:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.area))) + print(' HXC heat duty (MW): {:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.heat_duty[0]) * 1e-6)) + print(' HXC salt flow (kg/s): {:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.tube_inlet.flow_mass[0]))) + print(' HXC steam flow (mol/s): {:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.shell_inlet.flow_mol[0]))) + print(' HXC Salt temperature in/out (K): {:.4f}/{:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.tube_inlet.temperature[0]), + value(nlp_model.fs.charge_mode_disjunct.hxc.tube_outlet.temperature[0]))) + print(' HXC Delta temperature in/out (K): {:.4f}/{:.4f}'.format( + value(nlp_model.fs.charge_mode_disjunct.hxc.delta_temperature_in[0]), + value(nlp_model.fs.charge_mode_disjunct.hxc.delta_temperature_out[0]))) + elif nlp_model.fs.discharge_mode_disjunct.indicator_var.value == 1: + print(' Disjunction 1: Discharge mode is selected') + print(' HXD area (m2): {:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.area))) + print(' HXD heat duty (MW): {:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.heat_duty[0]) * 1e-6)) + print(' HXD salt flow (kg/s): {:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.shell_inlet.flow_mass[0]))) + print(' HXD steam flow (mol/s): {:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.tube_inlet.flow_mol[0]))) + print(' HXD Salt temperature in/out (K): {:.4f}/{:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.shell_inlet.temperature[0]), + value(nlp_model.fs.discharge_mode_disjunct.hxd.shell_outlet.temperature[0]))) + print(' HXD Delta temperature in/out (K): {:.4f}/{:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.hxd.delta_temperature_in[0]), + value(nlp_model.fs.discharge_mode_disjunct.hxd.delta_temperature_out[0]))) + print(' ES turbine work (MW): {:.4f}'.format( + value(nlp_model.fs.discharge_mode_disjunct.es_turbine.work_mechanical[0]) * (-1e-6))) + elif nlp_model.fs.no_storage_mode_disjunct.indicator_var.value == 1: + print(' Disjunction 1: No storage mode is selected') + else: + print(' No other operation alternative!') + + print() + print(' Obj (M$/year): {:.4f}'.format( + value(nlp_model.obj) / nlp_model.scaling_obj)) + print(' Revenue ($/h): {:.4f}'.format( + value(nlp_model.fs.revenue))) + # print(' Plant capital cost ($/h): {:.4f}'.format( + # value(nlp_model.fs.plant_capital_cost))) + print(' Plant fixed operating costs ($/h): {:.4f}'.format( + value(nlp_model.fs.plant_fixed_operating_cost))) + print(' Plant variable operating costs ($/h): {:.4f}'.format( + value(nlp_model.fs.plant_variable_operating_cost))) + print(' Coal Cost (fuel) ($/h): {:.4f}'.format( + value(nlp_model.fs.fuel_cost))) + print(' Storage Capital Cost ($/h): {:.4f}'.format( + value(nlp_model.fs.storage_capital_cost))) + print(' Net Power (MW): {:.4f}'.format( + value(nlp_model.fs.net_power))) + print(' Plant Power (MW): {:.4f}'.format( + value(nlp_model.fs.plant_power_out[0]))) + print(' Discharge turbine work (MW): {:.4f}'.format( + value(nlp_model.fs.discharge_turbine_work))) + print(' HX pump work (MW): {:.4f}'.format( + value(nlp_model.fs.hx_pump_work))) + # print(' Boiler efficiency (%): {:.4f}'.format( + # value(nlp_model.fs.boiler_efficiency) * 100)) + print(' Boiler/cycle efficiency (%): {:.4f}/{:.4f}'.format( + value(nlp_model.fs.boiler_efficiency) * 100, + value(nlp_model.fs.cycle_efficiency) * 100)) + print(' Hot Previous Salt Inventory (mton): {:.4f}'.format( + value(nlp_model.fs.previous_salt_inventory_hot))) + print(' Cold Previous Salt Inventory (mton): {:.4f}'.format( + value(nlp_model.fs.previous_salt_inventory_cold))) + print(' Salt to storage (kg/s) [mton]: {:.4f} [{:.4f}]'.format( + value(nlp_model.fs.salt_storage), + value(nlp_model.fs.salt_storage) * 3600 * nlp_model.factor_mton)) + print(' Hot Salt Inventory (mton): {:.4f}'.format( + value(nlp_model.fs.salt_inventory_hot))) + print(' Cold Salt Inventory (mton): {:.4f}'.format( + value(nlp_model.fs.salt_inventory_cold))) + + + print(' ___________________________________________') + + log_close_to_bounds(nlp_model) + # log_infeasible_constraints(nlp_model) + + +def run_nlps(m, + solver=None, + operation_mode=None): + """This function fixes the indicator variables of the disjuncts so to + solve NLP problems + + """ + + print() + print('>>> You are solving an NLP problem by fixing the operation disjuncts!') + if operation_mode == "charge": + print(' ** Solving for charge mode') + m.fs.charge_mode_disjunct.indicator_var.fix(True) + m.fs.discharge_mode_disjunct.indicator_var.fix(False) + m.fs.no_storage_mode_disjunct.indicator_var.fix(False) + elif operation_mode == "discharge": + print(' ** Solving for discharge mode') + m.fs.charge_mode_disjunct.indicator_var.fix(False) + m.fs.discharge_mode_disjunct.indicator_var.fix(True) + m.fs.no_storage_mode_disjunct.indicator_var.fix(False) + elif operation_mode == "no_storage": + print(' ** Solving for no storage mode') + m.fs.charge_mode_disjunct.indicator_var.fix(False) + m.fs.discharge_mode_disjunct.indicator_var.fix(False) + m.fs.no_storage_mode_disjunct.indicator_var.fix(True) + else: + print('<(x.x)> Unrecognized operation mode! Try charge, discharge, or no_storage') + print() + print() + + TransformationFactory('gdp.fix_disjuncts').apply_to(m) + print("The degrees of freedom after gdp transformation ", + degrees_of_freedom(m)) + + results = solver.solve( + m, + tee=True, + symbolic_solver_labels=True, + options={ + "linear_solver": "ma27", + "max_iter": 150 + } + ) + + log_close_to_bounds(m) + log_infeasible_constraints(m) + + print_results(m, results) + + return m, results + + +def run_gdp(m): + + print('>>> You are solving GDP model using GDPopt') + print(' {} DOFs before solving GDP model '.format(degrees_of_freedom(m))) + + opt = SolverFactory('gdpopt') + _prop_bnds_root_to_leaf_map[ExternalFunctionExpression] = lambda x, y, z: None + + results = opt.solve( + m, + tee=True, + algorithm='RIC', + # OA_penalty_factor=1e4, + # max_slack=1e4, + call_after_subproblem_solve=print_model, + mip_solver='gurobi_direct', + nlp_solver='ipopt', + init_algorithm="no_init", + time_limit="2400", + subproblem_presolve=False, + nlp_solver_args=dict( + tee=True, + symbolic_solver_labels=True, + options={ + "linear_solver": "ma27", + "max_iter": 150 + } + ) + ) + + print_results(m, results) + # print_reports(m) + + return results + + +def model_analysis(m, + solver=None, + power=None, + max_power=None, + tank_scenario=None, + fix_power=None, + operation_mode=None, + method=None, + deact_arcs_after_init=None): + """Unfix variables for analysis. This section is deactived for the + simulation of square model + """ + + if fix_power: + m.fs.power_demand_eq = pyo.Constraint( + expr=m.fs.net_power == power + ) + else: + m.fs.plant_power_min = pyo.Constraint( + expr=m.fs.plant_power_out[0] >= m.min_power + ) + m.fs.plant_power_max = pyo.Constraint( + expr=m.fs.plant_power_out[0] <= max_power + ) + hxc_heat_duty = (1e-6) * (pyunits.MW / pyunits.W) * m.fs.charge_mode_disjunct.hxc.heat_duty[0] + hxd_heat_duty = (1e-6) * (pyunits.MW / pyunits.W) * m.fs.discharge_mode_disjunct.hxd.heat_duty[0] + m.fs.charge_mode_disjunct.storage_min_heat_duty = pyo.Constraint( + expr=hxc_heat_duty >= m.min_storage_heat_duty + ) + m.fs.discharge_mode_disjunct.storage_min_heat_duty = pyo.Constraint( + expr=hxd_heat_duty >= m.min_storage_heat_duty + ) + # m.fs.charge_mode_disjunct.storage_max_heat_duty = pyo.Constraint( + # expr=hxc_heat_duty <= m.max_storage_heat_duty + # ) + # m.fs.discharge_mode_disjunct.storage_max_heat_duty = pyo.Constraint( + # expr=hxd_heat_duty <= m.max_storage_heat_duty * (1 - 0.01) + # ) + + # Fix and unfix boiler data + m.fs.boiler.outlet.pressure.fix(m.main_steam_pressure) + m.fs.boiler.inlet.flow_mol.unfix() + + # Unfix data fixed during initialization + # m.fs.fuel_cost.unfix() + m.fs.charge_mode_disjunct.ess_charge_split.split_fraction[0, "to_hxc"].unfix() + m.fs.discharge_mode_disjunct.ess_discharge_split.split_fraction[0, "to_hxd"].unfix() + + if not deact_arcs_after_init: + m.fs.turbine[3].inlet.unfix() + m.fs.fwh[8].tube_inlet.unfix() + + for salt_hxc in [m.fs.charge_mode_disjunct.hxc]: + salt_hxc.shell_inlet.unfix() + salt_hxc.tube_inlet.flow_mass.unfix() + salt_hxc.area.unfix() + + for salt_hxd in [m.fs.discharge_mode_disjunct.hxd]: + salt_hxd.tube_inlet.unfix() + salt_hxd.shell_inlet.flow_mass.unfix() + salt_hxd.area.unfix() + + # Unfix global variables + m.fs.hx_pump_work.unfix() + m.fs.discharge_turbine_work.unfix() + + # Fix storage heat exchangers design + m.fs.charge_mode_disjunct.hxc.tube_outlet.temperature[0].fix(m.hot_salt_temp) + m.fs.discharge_mode_disjunct.hxd.shell_inlet.temperature[0].fix(m.hot_salt_temp) + m.fs.discharge_mode_disjunct.hxd.shell_outlet.temperature[0].fix(m.cold_salt_temp) + + # Add salt inventory variables + min_tank = 1 * m.factor_mton # in mton + max_tank = m.max_salt_amount - min_tank # in mton + max_inventory = 1e7 * m.factor_mton # in mton + min_inventory = 75000 * m.factor_mton # in mton + + # Add variables and mass balances for the hot storage tank + m.fs.previous_salt_inventory_hot = pyo.Var( + domain=NonNegativeReals, + initialize=min_inventory, + bounds=(0, max_inventory), + doc="Hot salt inventory at the beginning of time period in mton" + ) + m.fs.salt_inventory_hot = pyo.Var( + domain=NonNegativeReals, + initialize=min_inventory, + bounds=(0, max_inventory), + doc="Hot salt inventory at the end of time period in mton" + ) + m.fs.previous_salt_inventory_cold = pyo.Var( + domain=NonNegativeReals, + initialize=max_tank - min_inventory, + bounds=(0, max_inventory), + doc="Cold salt inventory at the beginning of time period in mton" + ) + m.fs.salt_inventory_cold = pyo.Var( + domain=NonNegativeReals, + initialize=max_tank - min_inventory, + bounds=(0, max_inventory), + doc="Cold salt inventory at the end of time period in mton" + ) + + @m.fs.Constraint(doc="Inventory balance at the end of the time period") + def constraint_salt_inventory_hot(b): + return b.salt_inventory_hot == ( + b.previous_salt_inventory_hot + + (3600 * m.fs.salt_storage) * m.factor_mton + ) + + @m.fs.Constraint(doc="Maximum previous salt inventory at any time") + def constraint_salt_inventory(b): + return b.salt_amount == ( + b.salt_inventory_hot + + b.salt_inventory_cold + ) + + # Fix the previous salt inventory based on the tank scenario + if tank_scenario == "hot_empty": + m.fs.previous_salt_inventory_hot.fix(min_tank) + m.fs.previous_salt_inventory_cold.fix(max_tank) + elif tank_scenario == "hot_half_full": + m.fs.previous_salt_inventory_hot.fix(max_tank / 2) + m.fs.previous_salt_inventory_cold.fix(max_tank / 2) + elif tank_scenario == "hot_full": + m.fs.previous_salt_inventory_hot.fix(max_tank) + m.fs.previous_salt_inventory_cold.fix(min_tank) + else: + print('Unrecognized scenario! Try hot_empty, hot_full, or hot_half_full') + + # Add LMP data + m.fs.lmp = pyo.Var( + m.fs.time, + domain=Reals, + initialize=80, + doc="Hourly LMP in $/MWh" + ) + + # Fix LMP data according to the case we want to solve. When + # solving GDP model, a random value is selected + if operation_mode == "charge": + m_chg.fs.lmp[0].fix(22.9684) + elif operation_mode == "discharge": + m_chg.fs.lmp[0].fix(200) + elif operation_mode == "no_storage": + m_chg.fs.lmp[0].fix(50) + else: + m_chg.fs.lmp[0].fix(22.9684) + print(' **Use fixed LMP signal value of {} $/MWh'.format( + value(m.fs.lmp[0]))) + print() + + + m.fs.revenue = pyo.Expression( + expr=(m.fs.lmp[0] * m.fs.net_power), + doc="Revenue function in $/h assuming 1 hr operation" + ) + + # Set scaling factors to variables including during model analysis + set_var_scaling(m) + + # Add a total cost function as the objective function. Also, + # include a scaling factor to the objective. + m.scaling_obj = 1e-3 + m.obj = Objective( + expr=( + m.fs.revenue - + (m.fs.fuel_cost + + m.fs.plant_fixed_operating_cost + + m.fs.plant_variable_operating_cost) - + (m.fs.storage_capital_cost + # + m.fs.plant_capital_cost + ) + ) * m.scaling_obj, + sense=maximize + ) + + if operation_mode is not None: + # Solve NLP problem with fix operation mode disjunct + run_nlps(m, + solver=solver, + operation_mode=operation_mode) + else: + # Solve using GDPopt + run_gdp(m) + + +if __name__ == "__main__": + + optarg = { + "max_iter": 300, + # "halt_on_ampl_error": "yes", + } + solver = get_solver('ipopt', optarg) + + # How to run this model: + # load_init_file: Set to True if you wish to initialize using a .json file and + # indicate the path of the .json file in path_init_file + # fix_power: Select True if you want to fix the power output of the plant. + # If True, then provide the power value in power_demand + # method: Select between "with_efficiency" or "without_efficiency" + # tank_scenario: Select the initial value for the salt tank levels: + # "hot_empty", "hot_full", "hot_half_full" (hot refers to hot salt) + # operation_mode: Select None if you want to solve the GDP formulation (GDPopt solver) + # If you wish to solve for one mode, select an operation mode and the + # respective NLP problem is solved. The modes are: "charge", "discharge", + # or "no_storage" + # deact_arcs_after_init: Set to True if you wish to deactivate the arcs that are + # connecting reheater 1 to turbine 3 and bfp to FWH8 after + # initialization. If False, the arcs are deactivated in + # create_gdp_model and turbine 3 and FWH8 inlets are fixed during + # initialization. + + max_power = design_data_dict["plant_max_power"] # in MW + power_demand = 400 # in MW + load_init_file = False + if load_init_file: + path_init_file = design_data_dict["gdp_init_file_path"] + else: + path_init_file = None + + fix_power = False + method = "with_efficiency" + tank_scenario = "hot_empty" + operation_mode = None + deact_arcs_after_init = True # when False, cost initialization takes about 20 sec more + energy_loss = True + + m_chg = main(method=method, + max_power=max_power, + load_init_file=load_init_file, + path_init_file=path_init_file, + deact_arcs_after_init=deact_arcs_after_init, + energy_loss=energy_loss) + + m = model_analysis(m_chg, + solver, + power=power_demand, + max_power=max_power, + tank_scenario=tank_scenario, + fix_power=fix_power, + operation_mode=operation_mode, + method=method, + deact_arcs_after_init=deact_arcs_after_init) diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/uscp_design_data_new_storage_design.json b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/uscp_design_data_new_storage_design.json new file mode 100644 index 000000000..464febed2 --- /dev/null +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/gdp_mp/uscp_design_data_new_storage_design.json @@ -0,0 +1,25 @@ +{ + "gdp_init_file_path": "initialized_usc_storage_gdp_mp_unfixed_area.json", + "plant_max_power": 436, + "plant_min_power": 283, + "ramp_rate": 60, + "hxc_area": 1896, + "hxd_area": 1978, + "min_discharge_turbine_power": 8, + "max_discharge_turbine_power": 34, + "min_storage_heat_duty": 10, + "max_storage_heat_duty": 250, + "max_salt_amount": 6739292, + "max_salt_flow": 500, + "hot_salt_temperature": 831, + "cold_salt_temperature": 513.15, + "min_storage_area": 0, + "max_storage_area": 6000, + "min_storage_area_design": 250, + "max_storage_area_design": 3000, + "min_solar_salt_temperature": 513.15, + "max_solar_salt_temperature": 853.15, + "factor_mton": 1e-3, + "operating_hours_per_day": 24, + "number_of_years": 30 +} diff --git a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/integrated_storage_with_ultrasupercritical_power_plant.py b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/integrated_storage_with_ultrasupercritical_power_plant.py index 6a50938b7..363d1f754 100644 --- a/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/integrated_storage_with_ultrasupercritical_power_plant.py +++ b/dispatches/case_studies/fossil_case/ultra_supercritical_plant/storage/integrated_storage_with_ultrasupercritical_power_plant.py @@ -47,7 +47,7 @@ from idaes.core import MaterialBalanceType from idaes.core.util.initialization import propagate_state from idaes.core.solvers import get_solver -from idaes.core.util.model_statistics import degrees_of_freedom +from idaes.core.util.model_statistics import degrees_of_freedom, variables_near_bounds_generator import idaes.core.util.scaling as iscale import idaes.logger as idaeslog @@ -580,7 +580,7 @@ def set_model_input(m): # Add heat exchanger area from supercritical plant # model_input. For conceptual design optimization, area is unfixed # and optimized - m.fs.hxc.area.fix(2500) + m.fs.hxc.area.fix(2000) m.fs.hxd.area.fix(2000) # Define storage fluid conditions. The fluid inlet flow is fixed @@ -601,7 +601,7 @@ def set_model_input(m): m.fs.cooler.outlet.enth_mol[0].fix(10000) m.fs.cooler.deltaP[0].fix(0) - # HX pump efficiecncy assumption + # HX pump efficiency assumption m.fs.hx_pump.efficiency_pump.fix(0.80) m.fs.es_turbine.ratioP.fix(0.0286)