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pownet_thai_model.py
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from __future__ import division # convert int or long division arguments to floating point values before division
from pyomo.environ import *
from pyomo.opt import SolverFactory
gn_nodes = ['304IPNPPA9','BaanRai','BangchakRefinery','GhecoOne','GulfJPNS','GulfJPUT','HongsaLignite','KaengKhoi2',
'MitrBiopower','NakhonPathom','NikomMapTaPhut','NongKhai','NorthBangkok','Phetchaburi','PTTOlefins',
'RatchaburiThermal','Rayong','SrirachaRefinery','UWCKomen'] ##Thermoplant and import nodes without demand
gd_nodes = ['Ayutthaya1','Ayutthaya2','BangKapi','BangkokNoi','BangMunNak','BangPakong','BoWin','BuriRam',
'ChonBuri','ChonBuri2','Chumphon','Kalasin','Kamphaengphet','Kanchanaburi',
'Kanchanaburi2','Khanom','KhonKaen1','KhonKaen3','Krabi','Lampang1','Lamphun2','LanKrabu',
'LopBuri1','MaeHongSon','MaeMoh3','MaeTaeng','Mukdahan','NakhonRatchasima1',
'NakhonSawan','NakhonSiThammarat','NamPhong2','NongChok','Phon','Phuket1','PrachinBuri1','PrachinBuri2',
'PrachuapKhiriKhan','Rangsit','Ratchaburi','Ratchaburi3','Rayong1','Rayong2','RoiEt','Sadao',
'SamutSakhon1','Saraburi1','Saraburi2','Saraburi3','Songkhla','SouthBangkok','SuphanBuri',
'SuratThani','Surin','UbonRatchathani1','UdonThani1','WangNoi','Yala'] ##Thermoplant and import nodes with demand
g_nodes = gn_nodes + gd_nodes
model = AbstractModel()
## string indentifiers for the set of generators
## gn_nodes
model.Node1Generators = Set()
model.Node2Generators = Set()
model.Node3Generators = Set()
model.Node4Generators = Set()
model.Node5Generators = Set()
model.Node6Generators = Set()
model.Node7Generators = Set()
model.Node8Generators = Set()
model.Node9Generators = Set()
model.Node10Generators = Set()
model.Node11Generators = Set()
model.Node12Generators = Set()
model.Node13Generators = Set()
model.Node14Generators = Set()
model.Node15Generators = Set()
model.Node16Generators = Set()
model.Node17Generators = Set()
model.Node18Generators = Set()
## gd_nodes
model.Node19Generators = Set()
model.Node20Generators = Set()
model.Node21Generators = Set()
model.Node22Generators = Set()
model.Node23Generators = Set()
model.Node24Generators = Set()
model.Node25Generators = Set()
model.Node26Generators = Set()
model.Node27Generators = Set()
model.Node28Generators = Set()
model.Node29Generators = Set()
model.Node30Generators = Set()
model.Node31Generators = Set()
model.Node32Generators = Set()
model.Node33Generators = Set()
model.Node34Generators = Set()
model.Node35Generators = Set()
model.Node36Generators = Set()
model.Node37Generators = Set()
model.Node38Generators = Set()
model.Node39Generators = Set()
model.Node40Generators = Set()
model.Node41Generators = Set()
model.Node42Generators = Set()
model.Node43Generators = Set()
model.Node44Generators = Set()
model.Node45Generators = Set()
model.Node46Generators = Set()
model.Node47Generators = Set()
model.Node48Generators = Set()
model.Node49Generators = Set()
model.Node50Generators = Set()
model.Node51Generators = Set()
model.Node52Generators = Set()
model.Node53Generators = Set()
model.Node54Generators = Set()
model.Node55Generators = Set()
model.Node56Generators = Set()
model.Node57Generators = Set()
model.Node58Generators = Set()
model.Node59Generators = Set()
model.Node60Generators = Set()
model.Node61Generators = Set()
model.Node62Generators = Set()
model.Node63Generators = Set()
model.Node64Generators = Set()
model.Node65Generators = Set()
model.Node66Generators = Set()
model.Node67Generators = Set()
model.Node68Generators = Set()
model.Node69Generators = Set()
model.Node70Generators = Set()
model.Node71Generators = Set()
model.Node72Generators = Set()
model.Node73Generators = Set()
model.Node74Generators = Set()
model.Node75Generators = Set()
model.Node76Generators = Set()
model.Generators = model.Node1Generators | model.Node2Generators | model.Node3Generators | model.Node4Generators | \
model.Node5Generators | model.Node6Generators | model.Node7Generators | model.Node8Generators | \
model.Node9Generators | model.Node10Generators | model.Node11Generators | model.Node12Generators | \
model.Node13Generators | model.Node14Generators | model.Node15Generators | model.Node16Generators | \
model.Node17Generators | model.Node18Generators | model.Node19Generators | model.Node20Generators | \
model.Node21Generators | model.Node22Generators | model.Node23Generators | model.Node24Generators | \
model.Node25Generators | model.Node26Generators | model.Node27Generators | model.Node28Generators | \
model.Node29Generators | model.Node30Generators |\
model.Node31Generators | model.Node32Generators | model.Node33Generators | model.Node34Generators | \
model.Node35Generators | model.Node36Generators | model.Node37Generators | model.Node38Generators | \
model.Node39Generators | model.Node40Generators |\
model.Node41Generators | model.Node42Generators | model.Node43Generators | model.Node44Generators | \
model.Node45Generators | model.Node46Generators | model.Node47Generators | model.Node48Generators | \
model.Node49Generators | model.Node50Generators | \
model.Node51Generators | model.Node52Generators | model.Node53Generators | model.Node54Generators | \
model.Node55Generators | model.Node56Generators | model.Node57Generators | model.Node58Generators | \
model.Node59Generators | model.Node60Generators | \
model.Node61Generators | model.Node62Generators | model.Node63Generators | model.Node64Generators | \
model.Node65Generators | model.Node66Generators | model.Node67Generators | model.Node68Generators | \
model.Node69Generators | model.Node70Generators | \
model.Node71Generators | model.Node72Generators | model.Node73Generators | model.Node74Generators | \
model.Node75Generators | model.Node76Generators
### Generators by Fuel Type
model.Biomass_st = Set()
model.Coal_st = Set()
model.Coal_imp = Set()
model.Gas_cc = Set()
model.Gas_st = Set()
model.Gas_gt = Set()
model.Gas_ic = Set()
model.Oil_gt = Set()
model.Oil_ic = Set()
model.Oil_st = Set()
model.Wsth_st = Set()
model.Slack = Set()
###Allocate generators that will ensure minimum reserves
model.ResGenerators = model.Gas_cc | model.Gas_ic | model.Gas_gt | model.Oil_gt | model.Oil_ic
### Nodal Matrix
model.nodes = Set()
model.sources = Set(within=model.nodes)
model.sinks = Set(within=model.nodes)
##model.g_nodes = Set()
model.h_nodes = Set()
model.h_imports = Set()
model.s_nodes = Set()
model.w_nodes = Set()
model.d_nodes = Set()
model.gd_nodes = Set()
model.gn_nodes = Set()
model.td_nodes = Set()
model.tn_nodes = Set()
#####==== generators parameters from model input ===####
#Generator Type
model.typ = Param(model.Generators)
#State parameters
model.node = Param(model.Generators)
#Max Generating Capacity
model.maxcap = Param(model.Generators)
#Min Generating Capacity
model.mincap = Param(model.Generators)
#cost function
model.heat_rate = Param(model.Generators)
#Variable O&M
model.var_om = Param(model.Generators)
#Fixed O&M cost
model.fix_om = Param(model.Generators)
#Start cost
model.st_cost = Param(model.Generators)
#Ramp rate
model.ramp = Param(model.Generators)
#Minimum up time
model.minup = Param(model.Generators)
#Minimum down time
model.mindn = Param(model.Generators)
#Transmission Path parameters
model.linemva = Param(model.sources, model.sinks)
model.linesus = Param(model.sources, model.sinks)
model.m = Param(initialize = 1e5)
### parameters for model runs
## Full range of time series information provided in .dat file (1 year)
model.SimHours = Param(within=PositiveIntegers)
model.SH_periods = RangeSet(1,model.SimHours+1)
model.SimDays = Param(within=PositiveIntegers)
model.SD_periods = RangeSet(1,model.SimDays+1)
### Transmission Loss as a % of production
model.TransLoss = Param(within=NonNegativeReals)
### Maximum line-usage as a percent of line-capacity
model.n1criterion = Param(within=NonNegativeReals)
### Minimum spinning reserve as a percent of total reserve
model.spin_margin = Param(within=NonNegativeReals)
# Operating horizon information
model.HorizonHours = Param(within=PositiveIntegers)
model.HH_periods = RangeSet(0,model.HorizonHours)
model.hh_periods = RangeSet(1,model.HorizonHours)
#Demand over simulation period
model.SimDemand = Param(model.d_nodes*model.SH_periods, within=NonNegativeReals)
#Horizon demand
model.HorizonDemand = Param(model.d_nodes*model.hh_periods,within=NonNegativeReals,mutable=True)
#Reserve for the entire system
model.SimReserves = Param(model.SH_periods, within=NonNegativeReals)
model.HorizonReserves = Param(model.hh_periods, within=NonNegativeReals,mutable=True)
##Variable resources over simulation period
model.SimHydro = Param(model.h_nodes, model.SH_periods, within=NonNegativeReals)
model.SimSolar = Param(model.s_nodes, model.SH_periods, within=NonNegativeReals)
model.SimWind = Param(model.w_nodes, model.SH_periods, within=NonNegativeReals)
#Variable resources over horizon
model.HorizonHydro = Param(model.h_nodes,model.hh_periods,within=NonNegativeReals,mutable=True)
model.HorizonSolar = Param(model.s_nodes,model.hh_periods,within=NonNegativeReals,mutable=True)
model.HorizonWind = Param(model.w_nodes,model.hh_periods,within=NonNegativeReals,mutable=True)
##Hydro import over simulation period
model.SimHydroImport = Param(model.h_imports, model.SH_periods, within=NonNegativeReals)
#Hydro import over horizon
model.HorizonHydroImport = Param(model.h_imports,model.hh_periods,within=NonNegativeReals,mutable=True)
##Deratef over simulation period
model.SimDeratef = Param(model.Generators*model.SH_periods, within=NonNegativeReals)
##Horizon Deratef
model.HorizonDeratef = Param(model.Generators*model.hh_periods,within=NonNegativeReals,mutable=True)
##Initial conditions
model.ini_on = Param(model.Generators, within=NonNegativeReals, mutable=True)
model.ini_mwh = Param(model.Generators, within=NonNegativeReals, mutable=True)
#####============= Decision variables ===============########
##Amount of day-ahead energy generated by each generator at each hour
model.mwh = Var(model.Generators,model.HH_periods, within=NonNegativeReals)
#1 if unit is on in hour i
model.on = Var(model.Generators,model.HH_periods, within=Binary)
#1 if unit is switching on in hour i
model.switch = Var(model.Generators,model.HH_periods, within=Binary)
#Amount of spining reserce offered by each unit in each hour
model.srsv = Var(model.Generators,model.HH_periods, within=NonNegativeReals)
#Amount of non-sping reserve ovvered by each unit in each hour
model.nrsv = Var(model.Generators,model.HH_periods, within=NonNegativeReals)
#Hydropower production
model.hydro = Var(model.h_nodes,model.HH_periods,within=NonNegativeReals)
#Solar production
model.solar = Var(model.s_nodes,model.HH_periods,within=NonNegativeReals)
#wind production
model.wind = Var(model.w_nodes,model.HH_periods,within=NonNegativeReals)
#Hydropower import
model.hydro_import = Var(model.h_imports,model.HH_periods,within=NonNegativeReals)
#Voltage angles at line
model.vlt_angle = Var(model.nodes,model.HH_periods)
####========= Objective function ==================###
def SysCost(model):
fixed = sum(model.maxcap[j]*model.fix_om[j]*model.on[j,i] for i in model.hh_periods for j in model.Generators)
starts = sum(model.maxcap[j]*model.st_cost[j]*model.switch[j,i] for i in model.hh_periods for j in model.Generators)
coal_st = sum(model.mwh[j,i]*(model.heat_rate[j]*5.0 + model.var_om[j]) for i in model.hh_periods for j in model.Coal_st)
coal_imp = sum(model.mwh[j,i]*(model.heat_rate[j]*5.25 + model.var_om[j]) for i in model.hh_periods for j in model.Coal_imp)
biomass_st = sum(model.mwh[j,i]*(model.heat_rate[j]*3.02 + model.var_om[j]) for i in model.hh_periods for j in model.Biomass_st)
gas_cc = sum(model.mwh[j,i]*(model.heat_rate[j]*5.85 + model.var_om[j]) for i in model.hh_periods for j in model.Gas_cc)
gas_st = sum(model.mwh[j,i]*(model.heat_rate[j]*5.85 + model.var_om[j]) for i in model.hh_periods for j in model.Gas_st)
gas_gt = sum(model.mwh[j,i]*(model.heat_rate[j]*5.85 + model.var_om[j]) for i in model.hh_periods for j in model.Gas_gt)
gas_ic = sum(model.mwh[j,i]*(model.heat_rate[j]*5.85 + model.var_om[j]) for i in model.hh_periods for j in model.Gas_ic)
oil_gt = sum(model.mwh[j,i]*(model.heat_rate[j]*8.0 + model.var_om[j]) for i in model.hh_periods for j in model.Oil_gt)
oil_ic = sum(model.mwh[j,i]*(model.heat_rate[j]*8.0 + model.var_om[j]) for i in model.hh_periods for j in model.Oil_ic)
oil_st = sum(model.mwh[j,i]*(model.heat_rate[j]*8.0 + model.var_om[j]) for i in model.hh_periods for j in model.Oil_st)
wsth_st = sum(model.mwh[j,i]*(model.heat_rate[j]*3.02 + model.var_om[j]) for i in model.hh_periods for j in model.Wsth_st)
import_hydro = sum(model.hydro_import[j,i]*40 for i in model.hh_periods for j in model.h_imports)
slack = sum(model.mwh[j,i]*model.heat_rate[j]*1000 for i in model.hh_periods for j in model.Slack)
return fixed +starts +coal_st +biomass_st +gas_cc +gas_st +gas_gt +gas_ic +oil_gt +oil_ic +oil_st +wsth_st +slack +import_hydro+coal_imp
model.SystemCost = Objective(rule=SysCost, sense=minimize)
####=== Reference Node =====#####
def ref_node(model,i):
return model.vlt_angle['NongChok',i] == 0 ##NongChok=max_load node
model.Ref_NodeConstraint= Constraint(model.hh_periods,rule= ref_node)
######=== Power Balance =====########
################=========Hydropower Plants=============################
def HPnodes_Balance(model,z,i):
dis_hydro = model.hydro[z,i]
#demand = model.HorizonDemand[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * dis_hydro == impedance ##- demand
model.HPnodes_BalConstraint= Constraint(model.h_nodes,model.hh_periods,rule= HPnodes_Balance)
################=========Hydropower Imports=============################
def HP_Imports_Balance(model,z,i):
hp_import = model.hydro_import[z,i]
#demand = model.HorizonDemand[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * hp_import == impedance ##- demand
model.HP_Imports_BalConstraint= Constraint(model.h_imports,model.hh_periods,rule= HP_Imports_Balance)
################=========Solar Plants=============################
def Solarnodes_Balance(model,z,i):
dis_solar = model.solar[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * dis_solar == impedance ##- demand
model.Solarnodes_BalConstraint= Constraint(model.s_nodes,model.hh_periods,rule= Solarnodes_Balance)
##############=========Wind Plants=============################
def Windnodes_Balance(model,z,i):
dis_wind = model.wind[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * dis_wind == impedance ##- demand
model.Windnodes_BalConstraint= Constraint(model.w_nodes,model.hh_periods,rule= Windnodes_Balance)
#########======= Transformers with demand Nodes =========#######
def TDnodes_Balance(model,z,i):
demand = model.HorizonDemand[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return - demand == impedance
model.TDnodes_BalConstraint= Constraint(model.td_nodes,model.hh_periods,rule= TDnodes_Balance)
#########======= Transformers without demand Nodes =========#######
def TNnodes_Balance(model,z,i):
#demand = model.HorizonDemand[z,i]
impedance = sum(model.linesus[z,k] * (model.vlt_angle[z,i] - model.vlt_angle[k,i]) for k in model.sinks)
return 0 == impedance
model.TNnodes_BalConstraint= Constraint(model.tn_nodes,model.hh_periods,rule= TNnodes_Balance)
##########============ Thermoplants and Import Nodes without Demand ==============############
def Node1_Balance(model,i):
gg = 1
thermo = sum(model.mwh[j,i] for j in model.Node1Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node1_BalConstraint= Constraint(model.hh_periods,rule= Node1_Balance)
def Node2_Balance(model,i):
gg = 2
thermo = sum(model.mwh[j,i] for j in model.Node2Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node2_BalConstraint= Constraint(model.hh_periods,rule= Node2_Balance)
def Node3_Balance(model,i):
gg = 3
thermo = sum(model.mwh[j,i] for j in model.Node3Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node3_BalConstraint= Constraint(model.hh_periods,rule= Node3_Balance)
def Node4_Balance(model,i):
gg = 4
thermo = sum(model.mwh[j,i] for j in model.Node4Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node4_BalConstraint= Constraint(model.hh_periods,rule= Node4_Balance)
def Node5_Balance(model,i):
gg = 5
thermo = sum(model.mwh[j,i] for j in model.Node5Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node5_BalConstraint= Constraint(model.hh_periods,rule= Node5_Balance)
def Node6_Balance(model,i): ##HongsaLignite
gg = 6
thermo = sum(model.mwh[j,i] for j in model.Node6Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #10% gen to Laos_domestic grid
model.Node6_BalConstraint= Constraint(model.hh_periods,rule= Node6_Balance)
def Node7_Balance(model,i):
gg = 7
thermo = sum(model.mwh[j,i] for j in model.Node7Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node7_BalConstraint= Constraint(model.hh_periods,rule= Node7_Balance)
def Node8_Balance(model,i):
gg = 8
thermo = sum(model.mwh[j,i] for j in model.Node8Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node8_BalConstraint= Constraint(model.hh_periods,rule= Node8_Balance)
def Node9_Balance(model,i):
gg = 9
thermo = sum(model.mwh[j,i] for j in model.Node9Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node9_BalConstraint= Constraint(model.hh_periods,rule= Node9_Balance)
def Node10_Balance(model,i):
gg = 10
thermo = sum(model.mwh[j,i] for j in model.Node10Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node10_BalConstraint= Constraint(model.hh_periods,rule= Node10_Balance)
def Node11_Balance(model,i):
gg = 11
thermo = sum(model.mwh[j,i] for j in model.Node11Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node11_BalConstraint= Constraint(model.hh_periods,rule= Node11_Balance)
def Node12_Balance(model,i):
gg = 12
thermo = sum(model.mwh[j,i] for j in model.Node12Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node12_BalConstraint= Constraint(model.hh_periods,rule= Node12_Balance)
def Node13_Balance(model,i):
gg = 13
thermo = sum(model.mwh[j,i] for j in model.Node13Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node13_BalConstraint= Constraint(model.hh_periods,rule= Node13_Balance)
def Node14_Balance(model,i):
gg = 14
thermo = sum(model.mwh[j,i] for j in model.Node14Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node14_BalConstraint= Constraint(model.hh_periods,rule= Node14_Balance)
def Node15_Balance(model,i):
gg = 15
thermo = sum(model.mwh[j,i] for j in model.Node15Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node15_BalConstraint= Constraint(model.hh_periods,rule= Node15_Balance)
def Node16_Balance(model,i):
gg = 16
thermo = sum(model.mwh[j,i] for j in model.Node16Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node16_BalConstraint= Constraint(model.hh_periods,rule= Node16_Balance)
def Node17_Balance(model,i):
gg = 17
thermo = sum(model.mwh[j,i] for j in model.Node17Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node17_BalConstraint= Constraint(model.hh_periods,rule= Node17_Balance)
def Node18_Balance(model,i):
gg = 18
thermo = sum(model.mwh[j,i] for j in model.Node18Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance #- demand
model.Node18_BalConstraint= Constraint(model.hh_periods,rule= Node18_Balance)
def Node19_Balance(model,i):
gg = 19
thermo = sum(model.mwh[j,i] for j in model.Node19Generators)
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo == impedance
model.Node19_BalConstraint= Constraint(model.hh_periods,rule= Node19_Balance)
##########============ Thermoplants and Import Nodes with Demand ==============############
def Node20_Balance(model,i):
gg = 20
thermo = sum(model.mwh[j,i] for j in model.Node20Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node20_BalConstraint= Constraint(model.hh_periods,rule= Node20_Balance)
def Node21_Balance(model,i):
gg = 21
thermo = sum(model.mwh[j,i] for j in model.Node21Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node21_BalConstraint= Constraint(model.hh_periods,rule= Node21_Balance)
def Node22_Balance(model,i):
gg = 22
thermo = sum(model.mwh[j,i] for j in model.Node22Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node22_BalConstraint= Constraint(model.hh_periods,rule= Node22_Balance)
def Node23_Balance(model,i):
gg = 23
thermo = sum(model.mwh[j,i] for j in model.Node23Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node23_BalConstraint= Constraint(model.hh_periods,rule= Node23_Balance)
def Node24_Balance(model,i):
gg = 24
thermo = sum(model.mwh[j,i] for j in model.Node24Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node24_BalConstraint= Constraint(model.hh_periods,rule= Node24_Balance)
def Node25_Balance(model,i):
gg = 25
thermo = sum(model.mwh[j,i] for j in model.Node25Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node25_BalConstraint= Constraint(model.hh_periods,rule= Node25_Balance)
def Node26_Balance(model,i):
gg = 26
thermo = sum(model.mwh[j,i] for j in model.Node26Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node26_BalConstraint= Constraint(model.hh_periods,rule= Node26_Balance)
def Node27_Balance(model,i):
gg = 27
thermo = sum(model.mwh[j,i] for j in model.Node27Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node27_BalConstraint= Constraint(model.hh_periods,rule= Node27_Balance)
def Node28_Balance(model,i):
gg = 28
thermo = sum(model.mwh[j,i] for j in model.Node28Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node28_BalConstraint= Constraint(model.hh_periods,rule= Node28_Balance)
def Node29_Balance(model,i):
gg = 29
thermo = sum(model.mwh[j,i] for j in model.Node29Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node29_BalConstraint= Constraint(model.hh_periods,rule= Node29_Balance)
def Node30_Balance(model,i):
gg = 30
thermo = sum(model.mwh[j,i] for j in model.Node30Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node30_BalConstraint= Constraint(model.hh_periods,rule= Node30_Balance)
def Node31_Balance(model,i):
gg = 31
thermo = sum(model.mwh[j,i] for j in model.Node31Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node31_BalConstraint= Constraint(model.hh_periods,rule= Node31_Balance)
def Node32_Balance(model,i):
gg = 32
thermo = sum(model.mwh[j,i] for j in model.Node32Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node32_BalConstraint= Constraint(model.hh_periods,rule= Node32_Balance)
def Node33_Balance(model,i):
gg = 33
thermo = sum(model.mwh[j,i] for j in model.Node33Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node33_BalConstraint= Constraint(model.hh_periods,rule= Node33_Balance)
def Node34_Balance(model,i):
gg = 34
thermo = sum(model.mwh[j,i] for j in model.Node34Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node34_BalConstraint= Constraint(model.hh_periods,rule= Node34_Balance)
def Node35_Balance(model,i):
gg = 35
thermo = sum(model.mwh[j,i] for j in model.Node35Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node35_BalConstraint= Constraint(model.hh_periods,rule= Node35_Balance)
def Node36_Balance(model,i):
gg = 36
thermo = sum(model.mwh[j,i] for j in model.Node36Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node36_BalConstraint= Constraint(model.hh_periods,rule= Node36_Balance)
def Node37_Balance(model,i):
gg = 37
thermo = sum(model.mwh[j,i] for j in model.Node37Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node37_BalConstraint= Constraint(model.hh_periods,rule= Node37_Balance)
def Node38_Balance(model,i):
gg = 38
thermo = sum(model.mwh[j,i] for j in model.Node38Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node38_BalConstraint= Constraint(model.hh_periods,rule= Node38_Balance)
def Node39_Balance(model,i):
gg = 39
thermo = sum(model.mwh[j,i] for j in model.Node39Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node39_BalConstraint= Constraint(model.hh_periods,rule= Node39_Balance)
def Node40_Balance(model,i):
gg = 40
thermo = sum(model.mwh[j,i] for j in model.Node40Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node40_BalConstraint= Constraint(model.hh_periods,rule= Node40_Balance)
def Node41_Balance(model,i):
gg = 41
thermo = sum(model.mwh[j,i] for j in model.Node41Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node41_BalConstraint= Constraint(model.hh_periods,rule= Node41_Balance)
def Node42_Balance(model,i):
gg = 42
thermo = sum(model.mwh[j,i] for j in model.Node42Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node42_BalConstraint= Constraint(model.hh_periods,rule= Node42_Balance)
def Node43_Balance(model,i):
gg = 43
thermo = sum(model.mwh[j,i] for j in model.Node43Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node43_BalConstraint= Constraint(model.hh_periods,rule= Node43_Balance)
def Node44_Balance(model,i):
gg = 44
thermo = sum(model.mwh[j,i] for j in model.Node44Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node44_BalConstraint= Constraint(model.hh_periods,rule= Node44_Balance)
def Node45_Balance(model,i):
gg = 45
thermo = sum(model.mwh[j,i] for j in model.Node45Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node45_BalConstraint= Constraint(model.hh_periods,rule= Node45_Balance)
def Node46_Balance(model,i):
gg = 46
thermo = sum(model.mwh[j,i] for j in model.Node46Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node46_BalConstraint= Constraint(model.hh_periods,rule= Node46_Balance)
def Node47_Balance(model,i):
gg = 47
thermo = sum(model.mwh[j,i] for j in model.Node47Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node47_BalConstraint= Constraint(model.hh_periods,rule= Node47_Balance)
def Node48_Balance(model,i):
gg = 48
thermo = sum(model.mwh[j,i] for j in model.Node48Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node48_BalConstraint= Constraint(model.hh_periods,rule= Node48_Balance)
def Node49_Balance(model,i):
gg = 49
thermo = sum(model.mwh[j,i] for j in model.Node49Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node49_BalConstraint= Constraint(model.hh_periods,rule= Node49_Balance)
def Node50_Balance(model,i):
gg = 50
thermo = sum(model.mwh[j,i] for j in model.Node50Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node50_BalConstraint= Constraint(model.hh_periods,rule= Node50_Balance)
def Node51_Balance(model,i):
gg = 51
thermo = sum(model.mwh[j,i] for j in model.Node51Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node51_BalConstraint= Constraint(model.hh_periods,rule= Node51_Balance)
def Node52_Balance(model,i): ##Include wind
gg = 52
thermo = sum(model.mwh[j,i] for j in model.Node52Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node52_BalConstraint= Constraint(model.hh_periods,rule= Node52_Balance)
def Node53_Balance(model,i):
gg = 53
thermo = sum(model.mwh[j,i] for j in model.Node53Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node53_BalConstraint= Constraint(model.hh_periods,rule= Node53_Balance)
def Node54_Balance(model,i):
gg = 54
thermo = sum(model.mwh[j,i] for j in model.Node54Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node54_BalConstraint= Constraint(model.hh_periods,rule= Node54_Balance)
def Node55_Balance(model,i):
gg = 55
thermo = sum(model.mwh[j,i] for j in model.Node55Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node55_BalConstraint= Constraint(model.hh_periods,rule= Node55_Balance)
def Node56_Balance(model,i):
gg = 56
thermo = sum(model.mwh[j,i] for j in model.Node56Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node56_BalConstraint= Constraint(model.hh_periods,rule= Node56_Balance)
def Node57_Balance(model,i):
gg = 57
thermo = sum(model.mwh[j,i] for j in model.Node57Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node57_BalConstraint= Constraint(model.hh_periods,rule= Node57_Balance)
def Node58_Balance(model,i):
gg = 58
thermo = sum(model.mwh[j,i] for j in model.Node58Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node58_BalConstraint= Constraint(model.hh_periods,rule= Node58_Balance)
def Node59_Balance(model,i):
gg = 59
thermo = sum(model.mwh[j,i] for j in model.Node59Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node59_BalConstraint= Constraint(model.hh_periods,rule= Node59_Balance)
def Node60_Balance(model,i):
gg = 60
thermo = sum(model.mwh[j,i] for j in model.Node60Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node60_BalConstraint= Constraint(model.hh_periods,rule= Node60_Balance)
def Node61_Balance(model,i):
gg = 61
thermo = sum(model.mwh[j,i] for j in model.Node61Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node61_BalConstraint= Constraint(model.hh_periods,rule= Node61_Balance)
def Node62_Balance(model,i):
gg = 62
thermo = sum(model.mwh[j,i] for j in model.Node62Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node62_BalConstraint= Constraint(model.hh_periods,rule= Node62_Balance)
def Node63_Balance(model,i):
gg = 63
thermo = sum(model.mwh[j,i] for j in model.Node63Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node63_BalConstraint= Constraint(model.hh_periods,rule= Node63_Balance)
def Node64_Balance(model,i):
gg = 64
thermo = sum(model.mwh[j,i] for j in model.Node64Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node64_BalConstraint= Constraint(model.hh_periods,rule= Node64_Balance)
def Node65_Balance(model,i):
gg = 65
thermo = sum(model.mwh[j,i] for j in model.Node65Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node65_BalConstraint= Constraint(model.hh_periods,rule= Node65_Balance)
def Node66_Balance(model,i):
gg = 66
thermo = sum(model.mwh[j,i] for j in model.Node66Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node66_BalConstraint= Constraint(model.hh_periods,rule= Node66_Balance)
def Node67_Balance(model,i):
gg = 67
thermo = sum(model.mwh[j,i] for j in model.Node67Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node67_BalConstraint= Constraint(model.hh_periods,rule= Node67_Balance)
def Node68_Balance(model,i):
gg = 68
thermo = sum(model.mwh[j,i] for j in model.Node68Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node68_BalConstraint= Constraint(model.hh_periods,rule= Node68_Balance)
def Node69_Balance(model,i):
gg = 69
thermo = sum(model.mwh[j,i] for j in model.Node69Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node69_BalConstraint= Constraint(model.hh_periods,rule= Node69_Balance)
def Node70_Balance(model,i):
gg = 70
thermo = sum(model.mwh[j,i] for j in model.Node70Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node70_BalConstraint= Constraint(model.hh_periods,rule= Node70_Balance)
def Node71_Balance(model,i):
gg = 71
thermo = sum(model.mwh[j,i] for j in model.Node71Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node71_BalConstraint= Constraint(model.hh_periods,rule= Node71_Balance)
def Node72_Balance(model,i):
gg = 72
thermo = sum(model.mwh[j,i] for j in model.Node72Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node72_BalConstraint= Constraint(model.hh_periods,rule= Node72_Balance)
def Node73_Balance(model,i):
gg = 73
thermo = sum(model.mwh[j,i] for j in model.Node73Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node73_BalConstraint= Constraint(model.hh_periods,rule= Node73_Balance)
def Node74_Balance(model,i):
gg = 74
thermo = sum(model.mwh[j,i] for j in model.Node74Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node74_BalConstraint= Constraint(model.hh_periods,rule= Node74_Balance)
def Node75_Balance(model,i):
gg = 75
thermo = sum(model.mwh[j,i] for j in model.Node75Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node75_BalConstraint= Constraint(model.hh_periods,rule= Node75_Balance)
def Node76_Balance(model,i):
gg = 76
thermo = sum(model.mwh[j,i] for j in model.Node76Generators)
demand = model.HorizonDemand[g_nodes[gg-1],i]
impedance = sum(model.linesus[g_nodes[gg-1],k] * (model.vlt_angle[g_nodes[gg-1],i] - model.vlt_angle[k,i]) for k in model.sinks)
return (1 - model.TransLoss) * thermo - demand == impedance
model.Node76_BalConstraint= Constraint(model.hh_periods,rule= Node76_Balance)
###========= Constraints ============####
#Constraints for Max & Min Capacity of Thermoplants and Imports
def MaxC(model,j,i):
return model.mwh[j,i] <= model.on[j,i] * model.maxcap[j] *model.HorizonDeratef[j,i]
model.MaxCap= Constraint(model.Generators,model.hh_periods,rule=MaxC)
def MinC(model,j,i):
return model.mwh[j,i] >= model.on[j,i] * model.mincap[j]
model.MinCap= Constraint(model.Generators,model.hh_periods,rule=MinC)
#Max capacity constraints on hydropower
def HydroC(model,z,i):
return model.hydro[z,i] <= model.HorizonHydro[z,i]
model.HydroConstraint= Constraint(model.h_nodes,model.hh_periods,rule=HydroC)
#Max capacity constraints on solar
def SolarC(model,z,i):
return model.solar[z,i] <= model.HorizonSolar[z,i]
model.SolarConstraint= Constraint(model.s_nodes,model.hh_periods,rule=SolarC)
#Max capacity constraints on wind
def WindC(model,z,i):
return model.wind[z,i] <= model.HorizonWind[z,i]
model.WindConstraint= Constraint(model.w_nodes,model.hh_periods,rule=WindC)
#Max capacity constraints on hydropower import