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eqmain.mod
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eqmain.mod
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Copyright (C) 2000-2024 Energy Technology Systems Analysis Programme (ETSAP)
* This file is part of the IEA-ETSAP TIMES model generator, licensed
* under the GNU General Public License v3.0 (see file NOTICE-GPLv3.txt).
*=============================================================================*
* EQMAIN.MOD declarations & call for actual equations *
* %1 - mod or v# for the source code to be used *
*=============================================================================*
*GaG Questions/Comments:
* - any non-binding (=N=) accounting equations, or do it all with reports?
* - what about scaling (by region)???
* - declare all equations so that re-start changing models will work
* - if UP then EQl_ is =L=, LO then EQl_ is =G=, FX then EQl_ is =E=
*-----------------------------------------------------------------------------
* Scaling constants
$IF NOT SET CUFSCAL $SETGLOBAL CUFSCAL 10
$IF NOT SET CUCSCAL $SETGLOBAL CUCSCAL 1000
*-----------------------------------------------------------------------------
* EQUATIONS
*-----------------------------------------------------------------------------
$ BATINCLUDE eqdeclr.%1 %1
$ IFI %VDA%==YES $BATINCLUDE equ_ext.vda DECLR
*-----------------------------------------------------------------------------
* Objective Function
*-----------------------------------------------------------------------------
* Main OBJ
PARAMETER SUM_OBJ(ITEM,ITEM) 'Objective component summation';
$IFI '%SPINES%'==YES $BATINCLUDE recurrin.stc SPINES
$IF '%STAGES%'==YES $%WITSPINE% %SW_STVARS%
$IFI NOT %OBJ%==LIN $SETLOCAL OBJ %1
$IFI NOT %MACRO%==YES $BATINCLUDE eqobj.%1 %1
$IFI %MACRO% ==YES $BATINCLUDE eqobj.tm %1
*
$IFI '%SPINES%'==YES $%EWISPINE%
*-----------------------------------------------------------------------------
* Relationship between process activity & individual primary commodity flows
*-----------------------------------------------------------------------------
$ BATINCLUDE eqactflo.%1
*-----------------------------------------------------------------------------
* Bound of vintage process activity or TS-level above PRC_TS
*-----------------------------------------------------------------------------
*V0.5b avoid equations if LO=0/UP=INF
$ BATINCLUDE eqactbnd.%1 G LO "(ACT_BND(R,T,P,S,'LO') NE 0)"
$ BATINCLUDE eqactbnd.%1 E FX YES
$ BATINCLUDE eqactbnd.%1 L UP "(ACT_BND(R,T,P,S,'UP') NE INF)"
*-----------------------------------------------------------------------------
* Bound on commodity Net/Production activity above COM_TS
*-----------------------------------------------------------------------------
$ BATINCLUDE eqbndcom.%1 G LO "(COM_BNDNET(R,T,C,S,'LO') NE 0)" NET
$ BATINCLUDE eqbndcom.%1 E FX YES NET
$ BATINCLUDE eqbndcom.%1 L UP "(COM_BNDNET(R,T,C,S,'UP') NE INF)" NET
$ BATINCLUDE eqbndcom.%1 G LO "(COM_BNDPRD(R,T,C,S,'LO') NE 0)" PRD
$ BATINCLUDE eqbndcom.%1 E FX YES PRD
$ BATINCLUDE eqbndcom.%1 L UP "(COM_BNDPRD(R,T,C,S,'UP') NE INF)" PRD
*-----------------------------------------------------------------------------
* Utilization equation ensure activity <= or = capacity
*-----------------------------------------------------------------------------
$ BATINCLUDE eqcapact.%1 E FX %MX%
$ BATINCLUDE eqcapact.%1 L UP %MX%
$ BATINCLUDE eqcapact.%1 G LO
$IF DEFINED PRC_SIMV $INCLUDE coef_csv.mod
*-----------------------------------------------------------------------------
* Capacity transfer constraint
*-----------------------------------------------------------------------------
$IFI '%SPINES%'==YES $%WITSPINE%
$IF '%VALIDATE%'==YES $GOTO M2T
$IFI %ETL% == YES RTP_VARP(RTP(R,T,P))$TEG(P) = YES;
$IFI %MACRO%==YES RTP_VARP(RTP(R,T,P))$((TM_QFAC(R) NE 0)$TM_CAPTB(R,P)) = YES;
$ BATINCLUDE eqcpt.%1 E E "RTP_VARP(R,T,P) OR YES$CAP_BND(R,T,P,'FX')" "%VAR%_CAP(R,T,P %SOW%)"
$ BATINCLUDE eqcpt.%1 L L "((NOT RTP_VARP(R,T,P))$CAP_BND(R,T,P,'LO'))" "CAP_BND(R,T,P,'LO')"
$ BATINCLUDE eqcpt.%1 G G "((NOT RTP_VARP(R,T,P))$CAP_BND(R,T,P,'UP'))" "CAP_BND(R,T,P,'UP')"
$GOTO NOM2T
$LABEL M2T
$ BATINCLUDE eqcpt.%1 E E "NOT PRC_MAP(R,'DMD',P)" "%VAR%_CAP(R,T,P %SOW%)"
$ BATINCLUDE eqcpt.%1 L L "PRC_MAP(R,'DMD',P)" "%VAR%_CAP(R,T,P %SOW%)"
$ BATINCLUDE eqcpt.%1 G G NO 0
$LABEL NOM2T
*-----------------------------------------------------------------------------
* Cumulative Net/Production Commodity Limit
*-----------------------------------------------------------------------------
$ BATINCLUDE eqcumcom.%1 E NET
$ BATINCLUDE eqcumcom.%1 E PRD
* Cumulative process flow / activity
$ BATINCLUDE eqcumflo.%1 E
$IFI '%SPINES%'==YES $%EWISPINE%
*-----------------------------------------------------------------------------
* Basic commodity balance equations (by type) ensuring that production >=/= consumption
*-----------------------------------------------------------------------------
$ BATINCLUDE eqcombal.%1 %1 G LO BAL
$ BATINCLUDE eqcombal.%1 %1 E FX BAL
* non-binding equation for FRERENEW/CONSRV commodities
*$ BATINCLUDE eqcombal.%1 %1 L UP BAL
*-----------------------------------------------------------------------------
* Limiting equation when total production is to be constrained
*-----------------------------------------------------------------------------
$ BATINCLUDE eqcombal.%1 %1 E FX PRD "* RHS_COMPRD(R,T,C,S)"
*-----------------------------------------------------------------------------
* Bound on the flow variable
*-----------------------------------------------------------------------------
$ BATINCLUDE eqflobnd.%1 G LO YES
$ BATINCLUDE eqflobnd.%1 E FX YES
$ BATINCLUDE eqflobnd.%1 L UP "(FLO_BND(R,T,P,CG,S,'UP') NE INF)"
*-----------------------------------------------------------------------------
* Fraction of a flow within a specific time slice
*-----------------------------------------------------------------------------
$ BATINCLUDE eqflofr.%1 L "'LO'"
$ BATINCLUDE eqflofr.%1 E LNX
$ BATINCLUDE eqflofr.%1 G "'UP'"
*-----------------------------------------------------------------------------
* Market share equation allocating commodity percentages of a group
*-----------------------------------------------------------------------------
$ BATINCLUDE eqfloshr.%1 L LO IN
$ BATINCLUDE eqfloshr.%1 E FX IN
$ BATINCLUDE eqfloshr.%1 G UP IN
*-----------------------------------------------------------------------------
* Product share equation allocating commodity percentages of a group
*-----------------------------------------------------------------------------
$ BATINCLUDE eqfloshr.%1 L LO OUT
$ BATINCLUDE eqfloshr.%1 E FX OUT
$ BATINCLUDE eqfloshr.%1 G UP OUT
*-----------------------------------------------------------------------------
* Process market share constraint in total commodity production
*-----------------------------------------------------------------------------
$ BATINCLUDE eqflomrk.%1 G LO
$ BATINCLUDE eqflomrk.%1 E FX
$ BATINCLUDE eqflomrk.%1 L UP
*-----------------------------------------------------------------------------
* Inter-regional exchange
*-----------------------------------------------------------------------------
$ BATINCLUDE eqire.%1
*-----------------------------------------------------------------------------
* Bound on exchange between internal regions
*-----------------------------------------------------------------------------
*V0.5b avoid equations if LO=0/UP=INF
$ BATINCLUDE eqirebnd.%1 G LO "(IRE_BND(R,T,C,S,ALL_REG,IE,'LO') NE 0)"
$ BATINCLUDE eqirebnd.%1 E FX YES
$ BATINCLUDE eqirebnd.%1 L UP "(IRE_BND(R,T,C,S,ALL_REG,IE,'UP') NE INF)"
*-----------------------------------------------------------------------------
* Commodity peaking
*-----------------------------------------------------------------------------
$ BATINCLUDE eqpeak.%1 %1
*-----------------------------------------------------------------------------
* Commodity-to-commodity transformation
*-----------------------------------------------------------------------------
$ BATINCLUDE eqptrans.%1
*-----------------------------------------------------------------------------
* Inter-period storage
*-----------------------------------------------------------------------------
$ BATINCLUDE eqstgips.%OBJ%
$ BATINCLUDE eqstgaux.%OBJ%
*-----------------------------------------------------------------------------
* Time-slice storage
*-----------------------------------------------------------------------------
$ BATINCLUDE eqstgtss.%1
*-----------------------------------------------------------------------------
* Bound on input/output flows of storage process
*-----------------------------------------------------------------------------
$ BATINCLUDE eqstgflo.%1 IN G LO 0
$ BATINCLUDE eqstgflo.%1 IN E FX NA
$ BATINCLUDE eqstgflo.%1 IN L UP INF
$ BATINCLUDE eqstgflo.%1 OUT G LO 0
$ BATINCLUDE eqstgflo.%1 OUT E FX NA
$ BATINCLUDE eqstgflo.%1 OUT L UP INF
$IFI '%SPINES%'==YES $%WITSPINE%
*---------------------------------------------------------------------
* Bounds on undiscounted costs by region, category and currency
*---------------------------------------------------------------------
$ BATINCLUDE eqbndcst.%1
*-----------------------------------------------------------------------------
* User-constraints
*-----------------------------------------------------------------------------
$ IFE CARD(UC_TIME)+CARD(UC_UCN)>0 $SETGLOBAL VAR_UC YES
* Commissioning periods for UCs
SET RVPT(R,ALLYEAR,P,T);
LOOP(OBJ_2A(R,T,P)$(NOT RTP_OFF(R,T,P)),F=B(T)+NCAP_ILED(R,T,P); Z=SUM(VNT(T,TT)$(F>E(TT)+0.5),1);
RVPT(R,T,P,T+Z) = YES);
RTP_OFF(OBJ_2A(R,T,P))$(NOT SUM(RVPT(R,T,P,TT),1)) = YES;
*-----------------------------------------------------------------------------
* Define a map for region and milestone year specific user constraints to be generated
$SETLOCAL UCBD '' SETLOCAL UCLIM ',LIM' SETLOCAL TMP '' SETLOCAL TAKE
$IF NOT '%VAR_UC%'==YES $SETLOCAL UCBD ',BD' SETLOCAL UCLIM ',BD' SETLOCAL TMP ',LIM' SETLOCAL TAKE UC_RHSRT(R,UC_N,T,BD)$
SET UC_RHSTMP(REG,UC_N,T,S%UCBD%,UC_NUMBER);
SET UC_RHSMAP(REG,T,UC_N,UC_NUMBER,S%UCBD%);
SET RUCTS(ALL_REG,UC_N,ALLYEAR,TS%TMP%);
SET UC_UT(UC_N,ALLYEAR%TMP%), UC_UTS(UC_N,ALLYEAR,TS%TMP%);
SET UC_TMAP(YEAR,YEAR,T,SIDE,UC_DYNT);
UC_TMAP(T,TT(T-DIAG(SIDE,'RHS')),TT,SIDE,'N') = YES;
UC_TMAP(T,TT(T-DIAG(SIDE,'RHS')),MILESTONYR,SIDE,'CUMSUM')$(ORD(T) > ORD(MILESTONYR)+DIAG(SIDE,'RHS')) = YES;
UC_TMAP(T,T,T,'RHS','SYNC') = YES;
UC_TMAP(T,T,TT,'RHS','CUM+')$UC_TMAP(T,T,TT,'LHS','CUMSUM') = YES;
IF(CARD(UC_RHSRT), OPTION R_UCT < UC_RHSRT, R_UC < UC_TS_SUM;
UC_RHSTMP(R_UCT(R_UC(R,UC_N),T),ANNUAL%UCBD%,'SEVERAL')$(%TAKE%UC_T_EACH(R,UC_N,T)) = YES;
UC_RHSTMP(R_UCT(R_UC(R,UC_N),T),ANNUAL%UCBD%,'DYNAMIC')$(%TAKE%UC_T_SUCC(R,UC_N,T)) = YES;
OPTION CLEAR=R_UC,CLEAR=R_UCT;
);
IF(CARD(UC_RHSRTS), OPTION RUCTS < UC_RHSRTS;
UC_RHSTMP(RUCTS(UC_T_EACH(UC_R_EACH(R,UC_N),T),S%UCBD%),'EACH')$UC_TS_EACH(R,UC_N,S) = YES;
UC_RHSTMP(RUCTS(UC_T_SUCC(UC_R_EACH(R,UC_N),T),S%UCBD%),'SUCC')$UC_TS_EACH(R,UC_N,S) = YES;
UC_RHSTMP(RUCTS(UC_T_EACH(UC_R_EACH(R,UC_N),T),S%UCBD%),UC_NUMBER(TSL))$(TS_GROUP(R,TSL,S)$UC_DS(R,UC_N,TSL)) = YES;
);
OPTION UC_RTSUC < UC_T_SUCC, UC_RHSMAP < UC_RHSTMP, UC_UT < UC_RHST, UC_UTS < UC_RHSTS, CLEAR=UC_RHSTMP, CLEAR=RUCTS;
*-----------------------------------------------------------------------------
$ BATINCLUDE equcwrap.%1 E BD '' SUM(BD$ ,1) NOT
$ BATINCLUDE equcwrap.%1 E "'FX'" ",'FX'"
$ BATINCLUDE equcwrap.%1 G "'LO'" ",'LO'"
$ BATINCLUDE equcwrap.%1 L "'UP'" ",'UP'"
$IFI '%SPINES%'==YES $%EWISPINE%
*-----------------------------------------------------------------------------
* Bound on total inter-regional exchange, including external+internal regions
*-----------------------------------------------------------------------------
*V0.5b avoid equations if LO=0/UP=INF
$ BATINCLUDE eqxbnd.%1 G LO "(IRE_XBND(ALL_REG,T,C,S,IE,'LO') NE 0)"
$ BATINCLUDE eqxbnd.%1 E FX YES
$ BATINCLUDE eqxbnd.%1 L UP "(IRE_XBND(ALL_REG,T,C,S,IE,'UP') NE INF)"
*---------------------------------------------------------------------
*GG* V07_2 Refinery blending
* Blending constraint to a specification characteristic
*---------------------------------------------------------------------
$ BATINCLUDE eqblnd.mod L 1
$ BATINCLUDE eqblnd.mod G 2
$ BATINCLUDE eqblnd.mod E 3
$ BATINCLUDE eqblnd.mod N 4
*---------------------------------------------------------------------
* MACRO equations
*---------------------------------------------------------------------
$IF %MACRO% == YES $BATINCLUDE eqmacro.tm
*---------------------------------------------------------------------
* damages
*---------------------------------------------------------------------
$IF DEFINED DAM_COST $BATINCLUDE eqdamage.%1