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cost_ann.rpt
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cost_ann.rpt
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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).
*=============================================================================*
* COST_ANN: annual cost calculation
* - Investment Costs, Tax/Subsidies
* - Decommissioning
* - Fixed costs and taxes
* - Variable costs and Taxes/Subsidies
*-----------------------------------------------------------------------------
* %1 - Prefix for parameter names (optional)
* %2 - SOW, (optional)
*=============================================================================*
OBJ_YES(NCAP_YES)=YES;
OPTION CLEAR=COEF_CAP; CNT=1$ROUND(RPT_OPT('OBJ','2'));
COEF_CAP(RTP_CPTYR(R,V,T,P))$(NCAP_YES(R,V,P)$PRC_RCAP(R,P)) = VAR_SCAP.L(R,V,T,P)/RTP_CAPVL(R,V,P);
* Levelized annual investment and fixed costs
IF(CNT, OPTION CLEAR=PAR_OBJCAP;
PAR_OBJCAP(OBJ_ICUR(NCAP_YES(R,V,P),CUR)) = SUM(RTP_CPTYR(R,V,T,P),COEF_CPT(R,V,T,P)*OBJ_PVT(R,T,CUR));
RTP_OBJ(J,R,V,P,CUR)$RTP_OBJ(J,R,V,P,CUR) = (RTP_OBJ(J,R,V,P,CUR)/PAR_OBJCAP(R,V,P,CUR))$PAR_OBJCAP(R,V,P,CUR);
%1CST_INVC(%2RTP_CPTYR(R,V,T,P),SYSINV)$NCAP_YES(R,V,P) =
SUM(RDCUR(R,CUR),RTP_OBJ('1',R,V,P,CUR)*COEF_CPT(R,V,T,P)*ABS(SYSONE(SYSINV)-COEF_CRF(R,V,P,CUR)));
%1CST_INVX(%2RTP_CPTYR(R,V,T,P),SYSINV)$NCAP_YES(R,V,P) =
SUM(RDCUR(R,CUR),RTP_OBJ('2',R,V,P,CUR)*COEF_CPT(R,V,T,P)*ABS(SYSONE(SYSINV)-COEF_CRF(R,V,P,CUR)));
IF(ACL,
PAR_OBJCAP(OBJ_FCUR(NCAP_YES(R,V,P),CUR)) = SUM(RTP_CPTYR(R,V,T,P),COEF_CPT(R,V,T,P)*(1-COEF_CAP(R,V,T,P))*OBJ_PVT(R,T,CUR));
RTP_NPV(J,R,V,P,CUR)$RTP_NPV(J,R,V,P,CUR) = (RTP_NPV(J,R,V,P,CUR)/PAR_OBJCAP(R,V,P,CUR))$PAR_OBJCAP(R,V,P,CUR);
%1CST_FIXC(%2RTP_CPTYR(R,V,T,P))$NCAP_YES(R,V,P) = SUM(RDCUR(R,CUR),RTP_NPV('1',R,V,P,CUR)*COEF_CPT(R,V,T,P)*(1-COEF_CAP(R,V,T,P)));
%1CST_FIXX(%2RTP_CPTYR(R,V,T,P))$NCAP_YES(R,V,P) = SUM(RDCUR(R,CUR),RTP_NPV('2',R,V,P,CUR)*COEF_CPT(R,V,T,P)*(1-COEF_CAP(R,V,T,P)));
OPTION CLEAR=COEF_CAP);
OPTION CLEAR=NCAP_YES;
);
*------------------------------------------------------------------------------
* Cases I - Investment Cost and II - Taxes/Subsidies
*------------------------------------------------------------------------------
* Calculate Annual undiscounted investment costs CST_INVC
$SET TMP '' SET X1 '' SETLOCAL SIC 1
$IFI %STAGES%==YES PASTSUM(NCAP_YES(R,T,P)) = SUM(SW_TSW(SOW,T,WW),OBJ_SIC(R,T,P,WW));
$IFI %STAGES%==YES $SETLOCAL SIC 1+PASTSUM(R,V,P)
OPTION CLEAR=FIL,COEF_RVPT<=COEF_CPT; IF(NOT CNT,NCAP_YES(R,PYR_S,P)$PRC_RESID(R,'0',P)=NO);
LOOP(OBJ_ICUR(NCAP_YES(R,V,P),CUR), OPTION CLEAR=YKK; MY_F=%SIC%;
SYSPLIT(SYSINV)=ABS(SYSONE(SYSINV)-COEF_CRF(R,V,P,CUR));
F = RTP_CAPVL(R,V,P)*OBJ_CRF(R,V,P,CUR)/OBJ_DIVI(R,V,P);
LOOP(OBJ_SUMII(R,V,P,LIFE,K_EOH,JOT), Z=ORD(LIFE); FIL(T)=VNT(V,T)$(M(T)<YEARVAL(K_EOH)+ORD(JOT)+Z);
YKK(YK(FIL(YEAR),LL),K)$((ORD(YEAR) < ORD(LL)+Z)$INVSPRED(K_EOH,JOT,LL,K)) = YES);
CSTVPJ(R,V,P,'1',SYSINV,T(FIL)) = SUM(YKK(T,LL,K), F * MY_F * OBJ_ICOST(R,K,P,CUR))*SYSPLIT(SYSINV);
CSTVPJ(R,V,P,'2',SYSINV,T(FIL))$(OBJ_ITAX(R,V,P,CUR)+OBJ_ISUB(R,V,P,CUR)) =
SUM(YKK(T,LL,K), F * (OBJ_ITAX(R,K,P,CUR)-OBJ_ISUB(R,K,P,CUR)))*SYSPLIT(SYSINV);
);
IF(NOT CNT, FIL(V)=PYR_S(V); OPTION CSTVNT < CSTVPJ, CLEAR=CSTVPJ);
%1CST_INVC(%2R,V,T,P,SYSINV) $= CSTVNT('1',R,V,T,P,SYSINV);
%1CST_INVX(%2R,V,T,P,SYSINV) $= CSTVNT('2',R,V,T,P,SYSINV);
* Report approximate costs for RESID according to available capacity
LOOP(OBJ_ICUR(R,FIL(V),P,CUR)$PRC_RESID(R,'0',P),
FIL2(T)=(NCAP_PASTI(R,V,P)*COEF_RVPT(R,V,P,T)-RTFORC(R,V,T,P))*OBJ_CRF(R,V,P,CUR);
%1CST_INVC(%2RTP_CPTYR(R,V,T,P),SYSINV) = ABS(SYSONE(SYSINV)-COEF_CRF(R,V,P,CUR)) * FIL2(T) * OBJ_ICOST(R,V,P,CUR);
%1CST_INVX(%2RTP_CPTYR(R,V,T,P),SYSINV) = ABS(SYSONE(SYSINV)-COEF_CRF(R,V,P,CUR)) * FIL2(T) * (OBJ_ITAX(R,V,P,CUR)-OBJ_ISUB(R,V,P,CUR));
);
* Handle ETL
$IF NOT %ETL% == YES $GOTO ETLDONE
LOOP(OBJ_ICUR(R,T,TEG(P),CUR)$VAR_IC.L(R,T,P), OPTION CLEAR=YKK;
F = VAR_IC.L(R,T,P) * OBJ_CRF(R,T,P,CUR)/OBJ_DIVI(R,T,P);
LOOP((OBJ_SUMII(R,T,P,LIFE,K_EOH,JOT),INVSPRED(K_EOH,JOT,LL,K)),
Z=ORD(LIFE); YKK(YK(TT,LL),K)$(YEARVAL(TT) < YEARVAL(LL)+Z) = YES);
%1CST_INVC(%2R,VNT(T,TT),P,SYSINV)$SYSONE(SYSINV) = %1CST_INVC(%2R,T,TT,P,SYSINV)+SUM(YKK(TT,LL,K),F);
);
$LABEL ETLDONE
*------------------------------------------------------------------------------
* Cases III - Decommissioning
*------------------------------------------------------------------------------
OPTION OBJ_SUMSI <= OBJ_SUMIII;
* Calculate decommissioning costs, annualized to operating years:
LOOP(OBJ_ICUR(NCAP_YES(R,V,P),CUR)$OBJ_DCOST(R,V,P,CUR), F = RTP_CAPVL(R,V,P);
F = F*OBJ_CRF(R,V,P,CUR)/OBJ_DIVIII(R,V,P); Z = ROUND(NCAP_%INVLIF%(R,V,P));
%1CST_DECC(%2R,VNT(V,T),P) = SUM(OBJ_SUMSI(R,V,P,LL)$((YEARVAL(T) < YEARVAL(LL)+Z)$YK(T,LL)),
(SUM(OBJ_SUMIII(R,V,P,LL,K,Y),OBJ_DISC(R,Y,CUR)*OBJ_DCOST(R,K,P,CUR))*COR_SALVD(R,V,P,CUR) +
SUM(OBJ_SUMIVS(R,V,P,K(LL),Y),OBJ_DISC(R,Y,CUR))*OBJ_DLAGC(R,LL,P,CUR))*F/OBJ_DISC(R,LL,CUR));
);
*------------------------------------------------------------------------------
* Cases IV - Fixed costs
*------------------------------------------------------------------------------
IF(NOT ACL,OPTION CLEAR=FIL2,CLEAR=MY_FIL2;
IF(CNT,NCAP_YES(OBJ_YES)=YES; NCAP_YES(R,PYR_S,P)$PRC_RESID(R,'0',P)=NO; FIL(PYR_S)=1;
ELSE COEF_RVPT(NCAP_YES(RTP),T)$COEF_RVPT(RTP,T) = (1+RTP_CPX(RTP,T)$NCAP_CPX(RTP))/MAX(1,OBJ_DIVIV(RTP))));
LOOP(OBJ_FCUR(NCAP_YES(R,V,P),CUR), F = RTP_CAPVL(R,V,P);
OPTION CLEAR=YKAGE; MY_FIL2(T)=COEF_RVPT(R,V,P,T); MY_F = B(V)+NCAP_ILED(R,V,P);
LOOP(OBJ_SUMIV(K_EOH,R,V,P,JOT,LIFE), Z=ORD(LIFE)-1;
FIL2(T(YEAR))=ORD(YEAR)+(MAX(0,MY_F-M(T))-MAX(0,M(T)-MY_F-Z))$CNT;
YKAGE(T,LL,AGE(LIFE+(FIL2(T)-ORD(LL)-Z)))$(INVSTEP(K_EOH,JOT,LL,JOT)$OPYEAR(LIFE,AGE)$MY_FIL2(T)) = YES);
FIL2(T)=F*MY_FIL2(T)/MAX(1,SUM(YKAGE(T,LL,AGE),1)$CNT);
CSTVPJ(R,V,P,'1','FIX',T) = FIL2(T) *
SUM(YKAGE(T,K,AGE), OBJ_FOM(R,K,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'1',J,JJ),SHAPE(J,AGE)*MULTI(JJ,T)-1)));
CSTVPJ(R,V,P,'2','FIX',T)$(OBJ_FTX(R,V,P,CUR)+OBJ_FSB(R,V,P,CUR)) = FIL2(T) *
SUM(YKAGE(T,K,AGE), (OBJ_FTX(R,K,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'2',J,JJ),SHAPE(J,AGE)*MULTI(JJ,T)-1)) -
OBJ_FSB(R,K,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'3',J,JJ),SHAPE(J,AGE)*MULTI(JJ,T)-1))));
);
OPTION CSTVNT < CSTVPJ, CLEAR=CSTVPJ;
%1CST_FIXC(%2R,V,T,P) $= CSTVNT('1',R,V,T,P,'FIX');
%1CST_FIXX(%2R,V,T,P) $= CSTVNT('2',R,V,T,P,'FIX');
* Report approximate costs for RESID according to available capacity
LOOP(OBJ_FCUR(R,FIL(V),P,CUR)$PRC_RESID(R,'0',P),
%1CST_FIXC(%2RTP_CPTYR(R,V,T,P)) = NCAP_PASTI(R,V,P)*COEF_RVPT(R,V,P,T) * OBJ_FOM(R,V,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'1',J,JJ),MULTI(JJ,T)-1));
%1CST_FIXX(%2RTP_CPTYR(R,V,T,P)) = NCAP_PASTI(R,V,P)*COEF_RVPT(R,V,P,T) *(OBJ_FTX(R,V,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'2',J,JJ),MULTI(JJ,T)-1)) -
OBJ_FSB(R,V,P,CUR) * (1+SUM(RTP_SHAPE(R,V,P,'3',J,JJ),MULTI(JJ,T)-1)));
);
IF(CARD(PRC_RCAP),
COEF_CAP(RTP_CPTYR(R,V,T,P))$COEF_CAP(R,V,T,P) = 1-COEF_CAP(R,V,T,P)+EPS;
%1CST_FIXC(%2RTP_CPTYR(R,V,T,P)) $= COEF_CAP(R,V,T,P)*%1CST_FIXC(%2R,V,T,P);
%1CST_FIXX(%2RTP_CPTYR(R,V,T,P)) $= COEF_CAP(R,V,T,P)*%1CST_FIXX(%2R,V,T,P);
);
NCAP_YES(OBJ_YES)=YES;
*-----------------------------------------------------------------------------
* Marginal costs of endogenous trade
*-----------------------------------------------------------------------------
OPTION CLEAR=OBJ_YES,CLEAR=CSTVNT,CLEAR=PAR_IPRIC;
PAR_IPRIC(RTP(R,T,P),C,TS,'IMP') $= (-1) * EQ_IRE.M(R,T,P,C,'IMP',TS);
CG_GRP(R,P,C,COM)$TOP_IRE(R,C,R,COM,P) = YES;
LOOP(CG_GRP(REG,P,COM1,COM)$RPC_MARKET(REG,P,COM,'IMP'),
PAR_IPRIC(RTPCS_VARF(R,T,P,C,TS),'IMP')$TOP_IRE(REG,COM1,R,C,P) =
-SUM((RS_TREE(R,ALL_TS,TS),S)$(IRE_TSCVT(R,ALL_TS,REG,S)$EQ_IRE.M(REG,T,P,COM,'IMP',S)),
EQ_IRE.M(REG,T,P,COM,'IMP',S) *
IRE_CCVT(REG,COM1,REG,COM) * IRE_CCVT(R,C,REG,COM1) * RS_FR(R,ALL_TS,TS) * IRE_TSCVT(R,ALL_TS,REG,S)));
PAR_XPRI(RTPCS_VARF(R,T,P,C,TS),REG,COM)$(TOP_IRE(R,C,REG,COM,P)$RPC_IREIO(R,P,C,'EXP','IN')) =
SUM((RS_TREE(R,TS,ALL_TS),S)$(IRE_TSCVT(R,ALL_TS,REG,S)$EQ_IRE.M(REG,T,P,COM,'IMP',S)),
EQ_IRE.M(REG,T,P,COM,'IMP',S) * IRE_FLO(R,T,P,C,REG,COM,S) *
IRE_CCVT(R,C,REG,COM) * RS_FR(R,ALL_TS,TS) * IRE_TSCVT(R,ALL_TS,REG,S));
PAR_IPRIC(RTPCS_VARF(R,T,P,C,TS),'EXP')$RPC_IREIO(R,P,C,'EXP','IN') $= SMAX(TOP_IRE(R,C,REG,COM,P),PAR_XPRI(R,T,P,C,TS,REG,COM));
PAR_IPRIC(RTP(R,T,P),C,TS,'EXP') $= EQ_IRE.M(R,T,P,C,'EXP',TS);
LOOP(RPC_EQIRE(REG,P,COM,'EXP'),
PAR_IPRIC(RTPCS_VARF(R,T,P,C,TS),'IMP')$TOP_IRE(REG,COM,R,C,P) =
-SUM((RS_TREE(R,ALL_TS,TS),S)$IRE_TSCVT(R,ALL_TS,REG,S),
EQ_IRE.M(REG,T,P,COM,'EXP',S) / IRE_FLO(REG,T,P,COM,R,C,TS) *
IRE_CCVT(R,C,REG,COM) * RS_FR(R,ALL_TS,TS) * IRE_TSCVT(R,ALL_TS,REG,S)));
PRC_YMAX(RP_IRE(R,P)) $= SUM((RPC_IREIO(R,P,C,IE,'IN'),RTP_VINTYR(R,V,T,P),RPCS_VAR(R,P,C,S)),
PAR_IPRIC(R,T,P,C,S,IE)*PAR_IRE(R,V,T,P,C,S,IE));
%1REG_IREC(%2R) $= SUM(P,PRC_YMAX(R,P));
PAR_IPRIC(R,T,P,C,TS,IE)$PAR_IPRIC(R,T,P,C,TS,IE) = PAR_IPRIC(R,T,P,C,TS,IE)*(1/COEF_PVT(R,T));
$IF %1==S %1PAR_IPRIC(%2R,T,P,C,TS,IE) $= PAR_IPRIC(R,T,P,C,TS,IE);
OPTION CLEAR=CG_GRP,CLEAR=PAR_OBJCAP,CLEAR=PAR_XPRI,CLEAR=RTP_OBJ,CLEAR=RTP_NPV,CLEAR=COEF_CRF,CLEAR=COEF_RVPT;
*------------------------------------------------------------------------------
* Marginal costs associated with endogenous imports/exports
* - note that price only applied when actually an internal region
*------------------------------------------------------------------------------
%1CST_IREC(%2RTP_VINTYR(R,V,T,P),C)$(RPC(R,P,C)$RP_IRE(R,P)) $=
SUM((RTPCS_VARF(R,T,P,C,S),RPC_IREIO(R,P,C,IE,'IN')),PAR_IPRIC(R,T,P,C,S,IE)*PAR_IRE(R,V,T,P,C,S,IE));
*------------------------------------------------------------------------------
* EQOBJVAR the objective function variable cost reporting
*------------------------------------------------------------------------------
$IFI %ANNCOST%==LEV $SET X1 'LEV' SET TMP *(1/OBJ_PVT(R,T,CUR))
%1CST_TIME(%2R,T,ANNUAL,'%SYSPREFIX%%X1%COST') = COEF_PVT(R,T);
$IFI NOT %ANNCOST%==LEV $BATINCLUDE eqobjvar.rpt PAR J('1'), J('2'), T
%1CST_ACTC(%2R,V,T,P,'-') $= SUM(CUR$PAR_ACTC('1',R,V,T,P,%PGPRIM%,CUR),PAR_ACTC('1',R,V,T,P,%PGPRIM%,CUR)%TMP%);
%1CST_ACTC(%2R,V,T,P,'+') $= SUM(CUR$PAR_ACTC('2',R,V,T,P,%PGPRIM%,CUR),PAR_ACTC('2',R,V,T,P,%PGPRIM%,CUR)%TMP%);
%1CST_FLOC(%2R,V,T,P,C) $= SUM(CUR$PAR_FLOC('1',R,V,T,P,C,CUR),PAR_FLOC('1',R,V,T,P,C,CUR)%TMP%);
%1CST_FLOX(%2R,V,T,P,C) $= SUM(CUR$PAR_FLOC('2',R,V,T,P,C,CUR),PAR_FLOC('2',R,V,T,P,C,CUR)%TMP%);
%1CST_COMC(%2R,T,C) $= SUM(CUR$PAR_COMC('1',R,T,C,CUR),PAR_COMC('1',R,T,C,CUR)%TMP%);
%1CST_COMX(%2R,T,C) $= SUM(CUR$PAR_COMC('2',R,T,C,CUR),PAR_COMC('2',R,T,C,CUR)%TMP%);
$IF DEFINED OBJ_COMBAL $BATINCLUDE powerflo.vda RPTB '' '' '%1' "%2" "%SOW%"
*------------------------------------------------------------------------------
* EQOBJELS the objective function flexible demand cost reporting
*------------------------------------------------------------------------------
$ BATINCLUDE eqobjels.rpt %1CST_COME(%2R,TT,C) TT
IF(CARD(%1CST_PVP),
%1CST_PVC(%2'%SYSPREFIX%ELS',R,C)$SUM(RCJ(R,C,'1',BDNEQ),1) = SUM(T,%1CST_COME(%2R,T,C)*COEF_PVT(R,T));
%1CST_PVP(%2'%SYSPREFIX%IRE',RP_IRE(RP)) $= PRC_YMAX(RP);
);
*------------------------------------------------------------------------------
* Regional annual costs
%1REG_ACOST(%2R,T,'INV') = SUM((VNT(V,T),P,SYSINV)$%1CST_INVC(%2R,V,T,P,SYSINV),%1CST_INVC(%2R,V,T,P,SYSINV));
%1REG_ACOST(%2R,T,'INVX') = SUM((VNT(V,T),P,SYSINV)$%1CST_INVX(%2R,V,T,P,SYSINV),%1CST_INVX(%2R,V,T,P,SYSINV));
%1REG_ACOST(%2R,T,'FIX') = SUM((VNT(V,T),P)$%1CST_FIXC(%2R,V,T,P),%1CST_FIXC(%2R,V,T,P));
%1REG_ACOST(%2R,T,'FIXX') = SUM((VNT(V,T),P)$%1CST_FIXX(%2R,V,T,P),%1CST_FIXX(%2R,V,T,P));
%1REG_ACOST(%2R,T,'VAR') = SUM((VNT(V,T),P,RPM)$%1CST_ACTC(%2R,V,T,P,RPM),%1CST_ACTC(%2R,V,T,P,RPM)) +
SUM((VNT(V,T),P,C)$%1CST_FLOC(%2R,V,T,P,C),%1CST_FLOC(%2R,V,T,P,C)) +
SUM(C$%1CST_COMC(%2R,T,C),%1CST_COMC(%2R,T,C));
%1REG_ACOST(%2R,T,'VARX') = SUM((VNT(V,T),P,C)$%1CST_FLOX(%2R,V,T,P,C),%1CST_FLOX(%2R,V,T,P,C)) +
SUM(C$%1CST_COMX(%2R,T,C),%1CST_COMX(%2R,T,C));
%1REG_ACOST(%2R,T,'IRE') = SUM((VNT(V,T),P,C)$%1CST_IREC(%2R,V,T,P,C),%1CST_IREC(%2R,V,T,P,C));
%1REG_ACOST(%2R,T,'ELS') = SUM(C$%1CST_COME(%2R,T,C),%1CST_COME(%2R,T,C));
*------------------------------------------------------------------------------
OPTION CLEAR=PAR_ACTC,CLEAR=PAR_COMC,CLEAR=PAR_FLOC,CLEAR=PRC_YMAX,CLEAR=PASTSUM;
$IF %1==S $EXIT
*------------------------------------------------------------------------------
* Salvage costs (not for stochastic runs)
*------------------------------------------------------------------------------
* Calculate actual Salvage values
PAR_OBJSAL(OBJ_ICUR(R,T,P,CUR)) = PAR_OBJSAL(R,T,P,CUR)*VAR_NCAP.L(R,T,P);
$IF %ETL% == YES
PAR_OBJSAL(RTP(R,T,TEG(P)),CUR)$G_RCUR(R,CUR) = PAR_OBJSAL(RTP,CUR)+SUM(OBJ_SUMS(RTP),OBJSIC(RTP)*VAR_IC.L(RTP))*OBJ_DCEOH(R,CUR);
%1CST_SALV(%2R,T,P) $= SUM(RDCUR(R,CUR),PAR_OBJSAL(R,T,P,CUR));
REG_OBJ(R) = SUM((RDCUR(R,CUR),ITEM,OBV)$SUM_OBJ(ITEM,OBV),VAR_OBJ.L(R,OBV,CUR)*SUM_OBJ(ITEM,OBV));