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balmorel.gms: | ||
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Internal sets for true addon | ||
$ifi %FV%==yes $include '../../base/addons/fjernvarme/sets_fv.inc'; | ||
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Parameters for true addon | ||
$ifi %FV%==yes $INCLUDE '../../base/addons/fjernvarme/data_fj.inc'; | ||
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Variables for true addon | ||
$ifi %FV%==yes $include '../../base/addons/fjernavrme/var_fv.inc'; | ||
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Objective function contributions | ||
$ifi %FV%==yes $include '../../base/addons/fjernvarme/cost_fv.inc'; | ||
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QHEQ | ||
$ifi %FV%==yes $include '../../base/addons/fjernvarme/heatbalance_fv.inc'; | ||
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Equations for true addon | ||
$ifi %FV%==yes $include '../../base/addons/fjernvarme/eq_fv.inc'; | ||
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Equations | ||
$ifi %FV%==yes $include '../../base/addons/fjernvarme/eqN_fv.inc'; | ||
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* File data_fv.inc to the addon "District hearting". | ||
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PARAMETER NETINVESTED(AAA,AAA,STEPP) 'Percentatage of possible expansion performed'; | ||
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$ifi %USENETINVESTED%==yes execute_load '../printout/NETINVESTED.gdx',NETINVESTED=NETINVESTED; | ||
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Table DHFV(AAA,STEPFV) 'Heat demand in extention areas GWh' | ||
* Scenario: 20 pct heat savings | ||
STEPFV1 STEPFV2 STEPFV3 STEPFV4 STEPFV5 STEPFV6 STEPFV7 STEPFV8 STEPFV9 | ||
DK_E_1_IND 0.04750 0.01094 0.05543 0.06216 0.03737 0.03104 0.03541 0.04080 0.06990 | ||
DK_E_2_IND 0.06361 0.03578 0.05736 0.07187 0.04657 0.04195 0.04577 0.06043 0.08407 | ||
DK_E_3_IND 0.00654 0.00706 0.00799 0.00972 0.01225 0.00779 0.00512 0.00820 0.00752 | ||
DK_E_4_IND 0.02412 0.02392 0.02904 0.04372 0.02221 0.02288 0.02927 0.03421 0.05038 | ||
DK_E_5_IND 0.02289 0.02222 0.02006 0.02503 0.01249 0.01369 0.01273 0.01234 0.01821 | ||
DK_E_Rural_IND 0.01124 0.00769 0.01028 0.00730 0.00531 0.00344 0.00316 0.00312 0.00460 | ||
DK_E_Urban_IND 0.57664 0.43643 0.50292 0.20579 0.26225 0.29678 0.33728 0.36011 0.50862 | ||
DK_W_1_IND 0.08336 0.09985 0.19439 0.21012 0.20216 0.18581 0.15126 0.15307 0.18914 | ||
DK_W_2_IND 0.03109 0.01998 0.03903 0.01550 0.04920 0.04447 0.02479 0.02246 0.02230 | ||
DK_W_3_IND 0.01407 0.00613 0.00974 0.00871 0.01011 0.00927 0.00723 0.00555 0.00621 | ||
DK_W_4_IND 0.00187 0.00375 0.00015 0.00446 0.00286 0.00320 0.00220 0.00183 0.00162 | ||
DK_W_5_IND 0.00584 0.01138 0.00970 0.000001 0.03597 0.01647 0.02384 0.01699 0.01361 | ||
DK_W_6_IND 0.00561 0.00460 0.00729 0.00478 0.00826 0.00424 0.00409 0.00395 0.00476 | ||
DK_W_ODENSE_IND 0.09835 0.04973 0.02396 0.03022 0.02682 0.03032 0.03135 0.03504 0.05089 | ||
DK_W_Rural_IND 0.09881 0.09114 0.03798 0.09207 0.07854 0.04839 0.03687 0.04222 0.05377 | ||
DK_W_TREFOR_IND 0.11307 0.05749 0.11527 0.06082 0.04306 0.04493 0.04679 0.04355 0.05418 | ||
DK_W_Urban_IND 0.04070 0.00964 0.01595 0.01024 0.00792 0.01250 0.00793 0.01254 0.00498 | ||
DK_W_AALBORG_IND 0.10008 0.04200 0.02073 0.01624 0.01425 0.00973 0.00970 0.01125 0.01415 | ||
DK_W_AARHUS_IND 0.01870 0.09573 0.01133 0.05277 0.04696 0.01962 0.02094 0.01365 0.01984 | ||
DK_E_PUREDH_IND 0.01375 0.01941 0.02157 0.04151 0.03817 0.02578 0.03013 0.01710 0.01976 | ||
DK_W_PUREDH_IND 0.03976 0.05612 0.06236 0.11999 0.11035 0.07454 0.08709 0.04942 0.05714 | ||
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PARAMETER HEATPEAK(AAA); | ||
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HEATPEAK(AIND) = DH('2010',AIND)*SMAX((S,T), DH_VAR_T(AIND,S,T))/IDH_SUMST(AIND); | ||
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* Table currently in mDKK06/GWh | ||
Table PHFV(AAA,STEPFV) 'Price of head extention areas' | ||
* These price data are given in mDKK06/GWh/year (converted by assignment below). | ||
STEPFV1 STEPFV2 STEPFV3 STEPFV4 STEPFV5 STEPFV6 STEPFV7 STEPFV8 STEPFV9 | ||
DK_E_1_IND 1.021 1.504 1.988 2.471 2.955 3.438 3.922 4.405 4.889 | ||
DK_E_2_IND 0.833 1.266 1.699 2.131 2.564 2.997 3.430 3.862 4.295 | ||
DK_E_3_IND 0.970 1.287 1.604 1.921 2.238 2.555 2.872 3.189 3.506 | ||
DK_E_4_IND 0.856 1.330 1.804 2.278 2.752 3.226 3.700 4.174 4.649 | ||
DK_E_5_IND 1.109 1.525 1.941 2.357 2.773 3.190 3.606 4.022 4.438 | ||
DK_E_Rural_IND 1.420 1.819 2.218 2.618 3.017 3.416 3.815 4.214 4.613 | ||
DK_E_Urban_IND 1.000 1.655 2.310 2.965 3.620 4.275 4.930 5.586 6.241 | ||
DK_W_1_IND 0.469 0.772 1.076 1.379 1.682 1.985 2.288 2.591 2.894 | ||
DK_W_2_IND 0.445 0.667 0.889 1.111 1.333 1.555 1.776 1.998 2.220 | ||
DK_W_3_IND 0.429 0.663 0.896 1.129 1.363 1.596 1.829 2.063 2.296 | ||
DK_W_4_IND 0.754 0.957 1.161 1.365 1.569 1.772 1.976 2.180 2.384 | ||
DK_W_5_IND 0.306 0.476 0.647 0.817 0.987 1.158 1.328 1.498 1.669 | ||
DK_W_6_IND 0.873 1.164 1.456 1.747 2.039 2.330 2.622 2.913 3.204 | ||
DK_W_ODENSE_IND 1.107 1.668 2.229 2.789 3.350 3.911 4.472 5.032 5.593 | ||
DK_W_Rural_IND 0.453 0.694 0.934 1.175 1.415 1.656 1.896 2.136 2.377 | ||
DK_W_TREFOR_IND 0.731 1.107 1.483 1.858 2.234 2.610 2.986 3.361 3.737 | ||
DK_W_Urban_IND 0.841 0.987 1.134 1.280 1.427 1.574 1.720 1.867 2.013 | ||
DK_W_AALBORG_IND 0.866 1.147 1.428 1.710 1.991 2.272 2.554 2.835 3.116 | ||
DK_W_AARHUS_IND 0.964 1.217 1.471 1.724 1.978 2.231 2.485 2.738 2.992 | ||
DK_E_PUREDH_IND 0.616 0.890 1.163 1.437 1.711 1.985 2.259 2.533 2.807 | ||
DK_W_PUREDH_IND 0.616 0.890 1.163 1.437 1.711 1.985 2.259 2.533 2.807 | ||
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* Conversion from mDKK06/GWh/year to EUR90/MWh/year. | ||
PHFV(AIND,STEPFV)=PHFV(AIND,STEPFV)/10.42*1000000/1000; | ||
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TABLE DHCD(AAA,TECH) | ||
NAT OLIE | ||
DK_E_1_IND 214351 250684 | ||
DK_E_2_IND 335212 313807 | ||
DK_E_3_IND 15533 68172 | ||
DK_E_4_IND 207404 167164 | ||
DK_E_5_IND 53036 127590 | ||
DK_E_Rural_IND 10865 39420 | ||
DK_E_Urban_IND 2377965 2301916 | ||
DK_W_1_IND 727438 1045574 | ||
DK_W_2_IND 110752 214327 | ||
DK_W_3_IND 46598 48468 | ||
DK_W_4_IND 1999 19571 | ||
DK_W_5_IND 26147 114057 | ||
DK_W_6_IND 31083 25226 | ||
DK_W_ODENSE_IND 211753 189870 | ||
DK_W_Rural_IND 309799 367115 | ||
DK_W_TREFOR_IND 340962 337724 | ||
DK_W_Urban_IND 10257 80602 | ||
DK_W_AALBORG_IND 68486 129430 | ||
DK_W_AARHUS_IND 35172 255720 | ||
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DK_E_IND 564 11212 | ||
DK_W_IND 5680 18794 | ||
DK_E_PUREDH_IND 249 1133 | ||
DK_W_PUREDH_IND 291 194 | ||
; | ||
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Parameter HPRATIO(YYY)/ | ||
2010 0 | ||
2010 0 | ||
2011 0.07 | ||
2012 0.14 | ||
2013 0.21 | ||
2014 0.28 | ||
2015 0.35 | ||
2016 0.42 | ||
2017 0.49 | ||
2018 0.56 | ||
2019 0.63 | ||
2020 0.7 | ||
2021 0.73 | ||
2022 0.76 | ||
2023 0.79 | ||
2024 0.82 | ||
2025 0.85 | ||
2026 0.88 | ||
2027 0.91 | ||
2028 0.94 | ||
2029 0.97 | ||
2030 1 | ||
2031 1 | ||
2032 1 | ||
2033 1 | ||
2034 1 | ||
2035 1 | ||
2036 1 | ||
2037 1 | ||
2038 1 | ||
2039 1 | ||
2040 1 | ||
2041 1 | ||
2042 1 | ||
2043 1 | ||
2044 1 | ||
2045 1 | ||
2046 1 | ||
2047 1 | ||
2048 1 | ||
2049 1 | ||
2050 1 | ||
/; | ||
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PARAMETER HEATGROWTH(AAA,YYY); | ||
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HEATGROWTH(AIND,YYY)=DH(YYY,AIND)/DH('2010',AIND); | ||
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PARAMETER DHCD_SUM(AAA); | ||
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DHCD_SUM(AIND) = SUM(TECH, DHCD(AIND,TECH)); | ||
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GKFX('2010',AIND,'HO-IND1-NG')$DHCD_SUM(AIND) = DHCD(AIND,'NAT')/DHCD_SUM(AIND)*HEATPEAK(AIND); | ||
GKFX('2010',AIND,'HO-IND1-LO')$DHCD_SUM(AIND) = DHCD(AIND,'OLIE')/DHCD_SUM(AIND)*HEATPEAK(AIND); | ||
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*GKFX(YYY,AIND,G)$(YVALUE(YYY) > 2010 and GKFX('2010',AIND,G)) = max(0, GKFX('2010',AIND,G)-(YVALUE(YYY)-YVALUE('2010'))*GKFX('2010',AIND,G)/GDATA(G,'GDLIFETIME') ); | ||
GKFX(YYY,AIND,G)$(YVALUE(YYY) > 2010 and GKFX('2010',AIND,G)) = GKFX('2010',AIND,G)*(1- HPRATIO(YYY))*HEATGROWTH(AIND,YYY); | ||
GKFX(YYY,AIND,'EH-IND1-GV')$(YVALUE(YYY) > 2010 ) = HPRATIO(YYY)*HEATGROWTH(AIND,YYY)*HEATPEAK(AIND); | ||
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FKPOT(AIND,'NAT_GAS') = GKFX('2008',AIND,'HO-IND1-NG'); | ||
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* The price of extenstions of heat are added to the objective | ||
+SUM((IA,AIND,STEPP)$AINDN(IA,AIND), PHFV(AIND,STEPP)*VIHFV(IA,AIND,STEPP)*SUM(C$ICA(C,IA), ANNUITYC(C)) ) | ||
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* Penalty are added if constraints are violated | ||
+SUM((IA,IGH,S,T,IPLUSMINUS)$(AIND(IA) and IAGK_Y(IA,IGH)),VQGH_IND(IA,IGH,S,T,IPLUSMINUS))*PENALTYQ/2 | ||
+SUM((IA,IGH,S,T,IPLUSMINUS)$(AIND(IA) and IAGKN(IA,IGH)),VQGHN_IND(IA,IGH,S,T,IPLUSMINUS))*PENALTYQ/2 |
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* Names of equations regarding district heating | ||
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QDHFV | ||
QGH_IND | ||
QGHN_IND |
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* Definitions of equations regarding district heating | ||
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Equations | ||
QDHFV(AAA,IAAAI,S,T) 'Transmission into adjacent area limited by invested capacity (MW)' | ||
QGH_IND(AAA,G,S,T) 'Generation on individual technologies must follow demand (MW)' | ||
QGHN_IND(AAA,G,S,T) 'Generation on individual new technologies must follow demand (MW)' | ||
; | ||
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* Setting production by transmissioncapacity and demand variation | ||
* Consider making this an less-than-constraint | ||
QDHFV(IA,IAI,IS3,T)$AINDN(IA,IAI) .. | ||
VDHFV(IA,IAI,IS3,T) | ||
=L= | ||
SUM(STEPP,VIHFV(IA,IAI,STEPP))*DH_VAR_T(IAI,IS3,T)/IDH_SUMST(IAI) | ||
; | ||
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QGH_IND(IA,IGH,IS3,T)$(AIND(IA) and IAGK_Y(IA,IGH) and (GDATA(IGH,'GDCOMB') < 2)) .. | ||
VGH_IND(IA,IGH)*DH_VAR_T(IA,IS3,T)/IDH_SUMST(IA) | ||
* Slack and surplus | ||
+VQGH_IND(IA,IGH,IS3,T,'IPLUS') | ||
-VQGH_IND(IA,IGH,IS3,T,'IMINUS') | ||
=E= | ||
VGH_T(IA,IGH,IS3,T) | ||
$ifi %COMBINATION%==yes + SUM(IGCOMB2$GGCOMB(IGH,IGCOMB2), VGH_T(IA,IGCOMB2,IS3,T)) $ IGCOMB1(IGH) | ||
; | ||
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QGHN_IND(IA,IGH,IS3,T)$(AIND(IA) and IAGKN(IA,IGH) and (GDATA(IGH,'GDCOMB') < 2)) .. | ||
VGHN_IND(IA,IGH)*DH_VAR_T(IA,IS3,T)/IDH_SUMST(IA) | ||
* Slack and surplus | ||
+VQGHN_IND(IA,IGH,IS3,T,'IPLUS') | ||
-VQGHN_IND(IA,IGH,IS3,T,'IMINUS') | ||
=E= | ||
VGHN_T(IA,IGH,IS3,T) | ||
$ifi %COMBINATION%==yes + SUM(IGCOMB2$GGCOMB(IGH,IGCOMB2), VGHN_T(IA,IGCOMB2,IS3,T)) $ IGCOMB1(IGH) | ||
; | ||
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* Additional heat production from technoligies in these areas are to be added to the heat balance equation | ||
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+(SUM(IAE$AINDN(IA,IAE), VDHFV(IA,IAE,IS3,T))/(1-DISLOSS_H(IA)) )$(not AIND(IA)) | ||
-(SUM(IAE$AINDN(IAE,IA), VDHFV(IAE,IA,IS3,T)) )$AIND(IA) |
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Sets regarding district heating | ||
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Set AINDN(AAA,IAAAI) 'Nearest area for areas with possible extenstions on heat' | ||
/ | ||
DK_E_1. DK_E_1_IND | ||
DK_E_2. DK_E_2_IND | ||
DK_E_3. DK_E_3_IND | ||
DK_E_4. DK_E_4_IND | ||
DK_E_5. DK_E_5_IND | ||
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DK_W_1. DK_W_1_IND | ||
DK_W_2. DK_W_2_IND | ||
DK_W_3. DK_W_3_IND | ||
DK_W_4. DK_W_4_IND | ||
DK_W_5. DK_W_5_IND | ||
DK_W_6. DK_W_6_IND | ||
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DK_W_AALBORG. DK_W_AALBORG_IND | ||
DK_W_AARHUS. DK_W_AARHUS_IND | ||
DK_W_TREFOR. DK_W_TREFOR_IND | ||
DK_W_ODENSE. DK_W_ODENSE_IND | ||
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DK_E_Urban. DK_E_Urban_IND | ||
DK_E_Rural. DK_E_Rural_IND | ||
DK_W_Urban. DK_W_Urban_IND | ||
DK_W_Rural. DK_W_Rural_IND | ||
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DK_E_PUREDH. DK_E_PUREDH_IND | ||
DK_W_PUREDH. DK_W_PUREDH_IND | ||
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/; | ||
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$ifi %IND%==yes AINDN(AAA,IAAAI) = no; | ||
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Set STEPFV 'Steps in head exstentions' /STEPFV1*STEPFV10/; | ||
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Set STEPP(STEPFV) 'Steps for price of demand' / | ||
STEPFV1*STEPFV9 | ||
/; | ||
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Set STEPD(STEPFV) 'Steps for demand' / | ||
STEPFV1*STEPFV9 | ||
/; | ||
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set tech / nat,olie/; | ||
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alias(techalias,tech); |
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$ifi %IND%==yes $goto skip_netinvested | ||
$ifi not %USENETINVESTED%==yes NETINVESTED(IA,IAI,STEPP)$(AINDN(IA,IAI) and VIHFV.up(IA,IAI,STEPP) and (VIHFV.up(IA,IAI,STEPP) < inf)) = VIHFV.l(IA,IAI,STEPP)/VIHFV.up(IA,IAI,STEPP); | ||
$ifi not %USENETINVESTED%==yes DISPLAY NETINVESTED; | ||
$ifi not %USENETINVESTED%==yes execute_unload '../printout/NETINVESTED.gdx', NETINVESTED; | ||
$label skip_netinvested |
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* Variables regarding district heating | ||
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Positive Variables | ||
VIHFV(AAA,IAAAI,STEPFV) 'Extenstion of heat in each step' | ||
VDHFV(AAA,IAAAI,S,T) 'Production of heat in time period' | ||
VGH_IND(AAA,G) 'Level of production on individual technologies' | ||
VQGH_IND(AAA,G,S,T,IPLUSMINUS) 'Penalty on diviation from profile generation' | ||
VGHN_IND(AAA,G) 'Level of production on individual technologies' | ||
VQGHN_IND(AAA,G,S,T,IPLUSMINUS) 'Penalty on diviation from profile generation' | ||
; | ||
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* Initialize. | ||
VIHFV.l(IA,AIND,STEPP)$AINDN(IA,AIND) =0; |
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* Alternative: $ (VIHFV.l(AFV,STEPP) = VIHFV.up(AFV,STEPP)); | ||
* Do something else with: $ (VIHFV.l(AFV,STEPP) > VIHFV.l(AFV,STEPP); | ||
* Perhaps better alternative: VIHFV.u(AFV,STEPP) = VIHFV.u(AFV,STEPP) - VIHFV.l(AFV,STEPP); | ||
* - but still make sure that the extra investment is utilized in balance eqn (could be looking for VIHF's with ub = 0) | ||
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$ifi not %IND%==yes VIHFV.up(IA,IAI,STEPP)$AINDN(IA,IAI) = DHFV(IAI,STEPP); | ||
$ifi not %IND%==yes VIHFV.lo(IA,IAI,STEPP)$AINDN(IA,IAI) = VIHFV.l(IA,IAI,STEPP); | ||
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$ifi %USENETINVESTED%==yes VIHFV.fx(IA,IAI,STEPP)$AINDN(IA,IAI) = max(0,(YVALUE(Y)-2012)/(2025-2012)*VIHFV.up(IA,IAI,STEPP)*NETINVESTED(IA,IAI,STEPP)*DH(Y,IAI)/DH('2025',IAI)); |
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* File RESEeqns.inc to the addon REShareE. | ||
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* Equation QRESHAREE is with inspiration from equation QEEQ: | ||
QRESHAREE(CCCRESHAREE).. | ||
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SUM(C$CCCRESHAREEC(CCCRESHAREE,C), | ||
SUM(IR$CCCRRR(C,IR), | ||
SUM((IS3,T), | ||
IHOURSINST(IS3,T)* | ||
(SUM(IAGK_Y(IA,IGE)$(RRRAAA(IR,IA) AND IGNOTETOH(IGE) AND GREE(IGE)), VGE_T(IA,IGE,IS3,T) ) | ||
+ SUM(IAGKN(IA,IGE)$(RRRAAA(IR,IA) AND IGNOTETOH(IGE) AND GREE(IGE)), VGEN_T(IA,IGE,IS3,T))) ) | ||
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)) | ||
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=G= RESHAREE(CCCRESHAREE)* SUM(C$CCCRESHAREEC(CCCRESHAREE,C), SUM(IR$CCCRRR(C,IR), DE_Y(IR))); |
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* | ||
PARAMETER DE_Y(RRR) 'Nominal electricity demand this year (MWh)'; |
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