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@@ +#TIMEHORIZON +T=43800; + +#GLOBAL +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines / lifetime_lines; // MEur +annualised_capex_stations = full_capex_stations / lifetime_stations; // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.949859; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h +#CONSTRAINTS +electricity[t] <= capacity; +minimum_level * capacity <= electricity[t]; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] == conversion_factor_water * hydrogen[t]; +capacity >= 0; +electricity[t] >= 0; +hydrogen[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/kt/h +lifetime = 20.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock / lifetime_stock; // MEur +annualised_capex_flow = full_capex_flow / lifetime_flow; // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex / lifetime; // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; diff --git a/examples/Waste Heat Recovery/data/remote_hub_wacc.txt b/examples/Waste Heat Recovery/data/remote_hub_wacc.txt new file mode 100644 index 0000000000000000000000000000000000000000..7def37bc68429ef65b90ea6b330b21683bc0c02c --- /dev/null +++ b/examples/Waste Heat Recovery/data/remote_hub_wacc.txt @@ -0,0 +1,562 @@ +#TIMEHORIZON +T=43800; + +#GLOBAL +wacc = 0.07; +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines * global.wacc * (1 + global.wacc)**lifetime_lines / ((1 + global.wacc)**lifetime_lines - 1); // MEur +annualised_capex_stations = full_capex_stations * global.wacc * (1 + global.wacc)**lifetime_stations / ((1 + global.wacc)**lifetime_stations - 1); // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.9499; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h +#CONSTRAINTS +electricity[t] <= capacity; +minimum_level * capacity <= electricity[t]; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] == conversion_factor_water * hydrogen[t]; +capacity >= 0; +electricity[t] >= 0; +hydrogen[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/(kt/h) +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE HRSG +#PARAMETERS +full_capex = 0; +lifetime = 1; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0; // MEur/year +vom = 0;// MEur/GWh +turbine_efficiency = 0; +#VARIABLES +internal: capacity; +external: electricity_out[T]; +external: heat_in[T]; +#CONSTRAINTS +capacity >= 0; +electricity_out[t] <= capacity; +electricity_out[t] >= 0; +heat_in[t] >= 0; +electricity_out[t] == turbine_efficiency * heat_in[t]; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_out[t]; + + + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; diff --git a/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_cormos_efficiency.txt b/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_cormos_efficiency.txt new file mode 100644 index 0000000000000000000000000000000000000000..46438d7409542083099362bc7e9fff331fec19cd --- /dev/null +++ b/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_cormos_efficiency.txt @@ -0,0 +1,579 @@ +#TIMEHORIZON +T=43800; + +#GLOBAL +wacc = 0.07; +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines * global.wacc * (1 + global.wacc)**lifetime_lines / ((1 + global.wacc)**lifetime_lines - 1); // MEur +annualised_capex_stations = full_capex_stations * global.wacc * (1 + global.wacc)**lifetime_stations / ((1 + global.wacc)**lifetime_stations - 1); // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.9499; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h +#CONSTRAINTS +electricity[t] <= capacity; +minimum_level * capacity <= electricity[t]; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] == conversion_factor_water * hydrogen[t]; +capacity >= 0; +electricity[t] >= 0; +hydrogen[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/(kt/h) +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; + +conversion_factor_heat= (165/16.04)/55.5; //Ratio of released heat / methane HHV +heat_transfer_efficiency=0.4118; //Cormos et al. 2023 - 6.564% of methanation unit power recovered + + +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +external: heat_out[T]; //GW + +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; + +heat_out[t] == methane[t]*HHV_CH4*conversion_factor_heat*heat_transfer_efficiency; // [GW] +heat_out[t] >=0; + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + + + +#NODE HRSG +#PARAMETERS // Comros et al. 2023 +full_capex = 450.0; // M€/GW +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0; // MEur/year +vom = 0.001; // MEur/GWh +turbine_efficiency = 0.86; +#VARIABLES +internal: capacity; +external: electricity_out[T]; +external: heat_in[T]; +#CONSTRAINTS +capacity >= 0; +electricity_out[t] <= capacity; +electricity_out[t] >= 0; +heat_in[t] >= 0; +electricity_out[t] == turbine_efficiency * heat_in[t]; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_out[t]; + + + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] + HRSG.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + +#HYPEREDGE COSTAL_HEAT_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.heat_out[t] == HRSG.heat_in[t]; + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; diff --git a/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_maximal_efficiency.txt b/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_maximal_efficiency.txt new file mode 100644 index 0000000000000000000000000000000000000000..81973d5be18f38711cd961c27520e39186667bf8 --- /dev/null +++ b/examples/Waste Heat Recovery/data/remote_hub_wacc_HRSG_maximal_efficiency.txt @@ -0,0 +1,579 @@ +#TIMEHORIZON +T=43800; + +#GLOBAL +wacc = 0.07; +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines * global.wacc * (1 + global.wacc)**lifetime_lines / ((1 + global.wacc)**lifetime_lines - 1); // MEur +annualised_capex_stations = full_capex_stations * global.wacc * (1 + global.wacc)**lifetime_stations / ((1 + global.wacc)**lifetime_stations - 1); // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.9499; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h +#CONSTRAINTS +electricity[t] <= capacity; +minimum_level * capacity <= electricity[t]; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] == conversion_factor_water * hydrogen[t]; +capacity >= 0; +electricity[t] >= 0; +hydrogen[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/(kt/h) +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; + +conversion_factor_heat= (165/16.04)/55.5; //Ratio of released heat / methane HHV +heat_transfer_efficiency=1; + + +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +external: heat_out[T]; //GW + +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; + +heat_out[t] == methane[t]*HHV_CH4*conversion_factor_heat*heat_transfer_efficiency; // [GW] +heat_out[t] >=0; + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + + + +#NODE HRSG +#PARAMETERS // Comros et al. 2023 +full_capex = 450.0; // M€/GW +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0; // MEur/year +vom = 0.001; // MEur/GWh +turbine_efficiency = 1; +#VARIABLES +internal: capacity; +external: electricity_out[T]; +external: heat_in[T]; +#CONSTRAINTS +capacity >= 0; +electricity_out[t] <= capacity; +electricity_out[t] >= 0; +heat_in[t] >= 0; +electricity_out[t] == turbine_efficiency * heat_in[t]; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_out[t]; + + + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] + HRSG.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + +#HYPEREDGE COSTAL_HEAT_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.heat_out[t] == HRSG.heat_in[t]; + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; diff --git a/examples/Waste Heat Recovery/data/remote_hub_wacc_whr.txt b/examples/Waste Heat Recovery/data/remote_hub_wacc_whr.txt new file mode 100644 index 0000000000000000000000000000000000000000..0f206d03853ec5ee1983fbcc43324cd468545f01 --- /dev/null +++ b/examples/Waste Heat Recovery/data/remote_hub_wacc_whr.txt @@ -0,0 +1,590 @@ +#TIMEHORIZON +T=43800; + +#GLOBAL +wacc = 0.07; +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines * global.wacc * (1 + global.wacc)**lifetime_lines / ((1 + global.wacc)**lifetime_lines - 1); // MEur +annualised_capex_stations = full_capex_stations * global.wacc * (1 + global.wacc)**lifetime_stations / ((1 + global.wacc)**lifetime_stations - 1); // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.9499; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; + + +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h + +external: heat_out[T]; // GWth - heat flow @ 62° + +#CONSTRAINTS +capacity >= 0; +minimum_level * capacity <= electricity[t]; +electricity[t] <= capacity; +electricity[t] >= 0; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] >= 0; +water[t] == conversion_factor_water * hydrogen[t]; +hydrogen[t] >= 0; + + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/(kt/h) +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; + +conversion_factor_heat=0.2; //Ratio of released heat / methane HHV +heat_transfer_efficiency=0.407; //0.407 - cormos + + +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +external: heat_out[T]; //GW + +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; + +heat_out[t] == methane[t]*HHV_CH4*conversion_factor_heat*heat_transfer_efficiency; // [GW] +heat_out[t] >=0; + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE HRSG +#PARAMETERS // Comros et al. 2023 +full_capex = 450.0; // M€/GW +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0; // MEur/year +vom = 0.001; // MEur/GWh +turbine_efficiency = 0.86; //0.86 - cormos +#VARIABLES +internal: capacity; +external: electricity_out[T]; +external: heat_in[T]; +#CONSTRAINTS +capacity >= 0; +electricity_out[t] <= capacity; +electricity_out[t] >= 0; +heat_in[t] >= 0; +electricity_out[t] == turbine_efficiency * heat_in[t]; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_out[t]; + + + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] + HRSG.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + +#HYPEREDGE COSTAL_HEAT_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.heat_out[t] == HRSG.heat_in[t]; + + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; + + + + diff --git a/examples/Waste Heat Recovery/data/remote_hub_wacc_whr_dh.txt b/examples/Waste Heat Recovery/data/remote_hub_wacc_whr_dh.txt new file mode 100644 index 0000000000000000000000000000000000000000..eb3f57e79544e4ac61c764dae7c721b4a1dfac33 --- /dev/null +++ b/examples/Waste Heat Recovery/data/remote_hub_wacc_whr_dh.txt @@ -0,0 +1,631 @@ +#TIMEHORIZON +T=43800; + +#GLOBAL +wacc = 0.07; +number_years_horizon = T/8760; + +#NODE SOLAR_PV_PLANTS +#PARAMETERS +full_capex = 380.0; +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 7.25; // MEur/year +vom = 0.0; +capacity_factor_PV = import "pv_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_PV[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE WIND_PLANTS +#PARAMETERS +full_capex = 1040.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 12.6; // MEur/year +vom = 0.00135; // MEur/GWh +capacity_factor_wind = import "wind_capacity_factors.csv"; // Dimensionless +max_capacity = 500.0; // GW +#VARIABLES +internal: capacity; +external: electricity[T]; +#CONSTRAINTS +electricity[t] <= capacity_factor_wind[t] * capacity; +capacity <= max_capacity; +capacity >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + +#NODE BATTERY_STORAGE +#PARAMETERS +full_capex_stock = 142.0; +full_capex_flow = 160.0; +lifetime_stock = 10.0; +lifetime_flow = 10.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0; +fom_flow = 0.5; +vom_stock = 0.0018; +vom_flow = 0.0; +charge_discharge_ratio = 1.0; +self_discharge = 0.00004; +efficiency_in = 0.959; +efficiency_out = 0.959; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: electricity_stored[T]; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity_flow; +electricity_out[t] <= charge_discharge_ratio * capacity_flow; +electricity_stored[t] <= capacity_stock; +electricity_stored[0] == electricity_stored[T-1]; +electricity_stored[t+1] == (1 - self_discharge) * electricity_stored[t] + efficiency_in * electricity_in[t] - electricity_out[t] / efficiency_out; +capacity_flow >= 0; +capacity_stock >= 0; +electricity_stored[t] >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * electricity_stored[t] + vom_flow * electricity_in[t]; + +#NODE HVDC +#PARAMETERS +full_capex_lines = 0.25*1000; +full_capex_stations = 2*115.0; +lifetime_lines = 40.0; +lifetime_stations = 40.0; +annualised_capex_lines = full_capex_lines * global.wacc * (1 + global.wacc)**lifetime_lines / ((1 + global.wacc)**lifetime_lines - 1); // MEur +annualised_capex_stations = full_capex_stations * global.wacc * (1 + global.wacc)**lifetime_stations / ((1 + global.wacc)**lifetime_stations - 1); // MEur +annualised_capex = annualised_capex_lines + annualised_capex_stations; // MEur/GW-year (Lines + Stations) +fom = 2.5 + 4.6; // MEur/year +vom = 0.0; +efficiency_HVDC = 0.9499; +#VARIABLES +internal: capacity; +external: electricity_in[T]; +external: electricity_out[T]; +#CONSTRAINTS +electricity_in[t] <= capacity; +electricity_out[t] == efficiency_HVDC * electricity_in[t]; +capacity >= 0; +electricity_in[t] >= 0; +electricity_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_in[t]; + +#NODE ELECTROLYSIS_PLANTS +#PARAMETERS +full_capex = 600.0; +lifetime = 15.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 30.0; // MEur/year +vom = 0.0; +conversion_factor_electricity = 50.6; +conversion_factor_water = 9.0; +minimum_level = 0.05; + // If not precise, source (S) = Els van der Roest et al. (2023) +lifetime_heat_exchanger = 20; // Years - table 6 +conversion_factor_recoverable_heat = 0.25323; // source ENS-dk- technology_data_for_renewable_fuels 100MW PEM plant p.132 : (Hydrogen HHV output / Recoverable Heat) = 19.6/(65.5+11.9) +heat_transfer_efficiency = 0.8; // - page 6 +full_capex_heat_exchanger = 1.5; // M€/sqrt(GWth)- table 6 +fom_heat_exchanger = 0.02*1.5; // M€/sqrt(GWth)/year - table 5 - 2% capex +annualised_capex_heat_exchanger = full_capex_heat_exchanger * global.wacc * (1 + global.wacc)**lifetime_heat_exchanger / ((1 + global.wacc)**lifetime_heat_exchanger - 1); // M€/sqrt(GWth) + + +#VARIABLES +internal: capacity; // GW - reference flow for sizing is electricity +external: electricity[T]; // GWh/h +external: water[T]; // kt/h +external: hydrogen[T]; // kt/h + +external: heat_out[T]; // GWth - heat flow @ 62° + +#CONSTRAINTS +capacity >= 0; +minimum_level * capacity <= electricity[t]; +electricity[t] <= capacity; +electricity[t] >= 0; +electricity[t] == conversion_factor_electricity * hydrogen[t]; +water[t] >= 0; +water[t] == conversion_factor_water * hydrogen[t]; +hydrogen[t] >= 0; + +heat_out[t] >= 0; +heat_out[t] == capacity*conversion_factor_recoverable_heat; + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity[t]; + + +#NODE DISTRICT_HEATING_PIPING +// If not precise, source (S) = Els van der Roest et al. (2023) +#PARAMETERS +length = 100; //km - to be chosen +full_capex = 0.23; //M€/km - table 6 +lifetime = 40; //years - table 6 +fom = 0.23*0.02; //MEur/year +vom = 0.0; +conversion_factor = 0.999; //losses - to be checked +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur + +#VARIABLES +internal: capacity; //km - piping length +external: heat_in[T]; //GWh_th +external: heat_out[T]; //GWh_th +#CONSTRAINTS +capacity >= 0; +capacity >= length; +heat_in[t] >= 0; +heat_out[t] >= 0; +heat_out[t] == heat_in[t]*(conversion_factor); + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * heat_out[t]; + + +#NODE DESALINATION_PLANTS +#PARAMETERS +full_capex = 28.08; +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.000315; +conversion_factor_electricity = 0.004; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - freshwater is the reference flow for sizing +external: electricity[T]; +external: water[T]; +#CONSTRAINTS +water[t] <= capacity; +minimum_level * capacity <= water[t]; +electricity[t] == conversion_factor_electricity * water[t]; +water[t] <= water[t-1] + ramp_rate_up * capacity; +water[t-1] <= water[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * water[t]; + +#NODE DIRECT_AIR_CAPTURE_PLANTS +#PARAMETERS +full_capex = 4801.4; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.0; // MEur/year +vom = 0.0207; // MEur/kt +conversion_factor_electricity = 0.1091; +conversion_factor_water = 5.0; +conversion_factor_hydrogen = 1.46 / 33.3; // heat consumption / LHV of hydrogen +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing +external: electricity[T]; +external: hydrogen[T]; +external: water[T]; +external: carbon_dioxide[T]; +#CONSTRAINTS +carbon_dioxide[t] <= capacity; +minimum_level * capacity <= carbon_dioxide[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide[t]; +water[t] == conversion_factor_water * carbon_dioxide[t]; +hydrogen[t] == conversion_factor_hydrogen * carbon_dioxide[t]; +carbon_dioxide[t] <= carbon_dioxide[t-1] + ramp_rate_up * capacity; +carbon_dioxide[t-1] <= carbon_dioxide[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +water[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * carbon_dioxide[t]; + +#NODE HYDROGEN_STORAGE +#PARAMETERS +full_capex_stock = 45.0; +full_capex_flow = 0.0; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 2.25; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 1.3; +minimum_level = 0.05; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: hydrogen_stored[T]; +external: electricity[T]; +external: hydrogen_in[T]; +external: hydrogen_out[T]; +#CONSTRAINTS +hydrogen_in[t] <= capacity_flow; +hydrogen_out[t] <= capacity_flow; +minimum_level * capacity_stock <= hydrogen_stored[t]; +hydrogen_stored[t] <= capacity_stock; +hydrogen_stored[0] == hydrogen_stored[T-1]; +hydrogen_stored[t+1] == hydrogen_stored[t] + hydrogen_in[t] - hydrogen_out[t]; +electricity[t] == conversion_factor_electricity * hydrogen_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +hydrogen_stored[t] >= 0; +hydrogen_in[t] >= 0; +hydrogen_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * hydrogen_stored[t] + vom_flow * hydrogen_in[t]; + +#NODE CARBON_DIOXIDE_STORAGE +#PARAMETERS +full_capex_stock = 1.35; +full_capex_flow = 32.4+16.2; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0675; +fom_flow = 1.62 + 0.81; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification) +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.105; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: carbon_dioxide_stored[T]; +external: electricity[T]; +external: carbon_dioxide_in[T]; +external: carbon_dioxide_out[T]; +#CONSTRAINTS +carbon_dioxide_in[t] <= capacity_flow; +carbon_dioxide_out[t] <= capacity_flow; +carbon_dioxide_stored[t] <= capacity_stock; +carbon_dioxide_stored[0] == carbon_dioxide_stored[T-1]; +carbon_dioxide_stored[t+1] == carbon_dioxide_stored[t] + carbon_dioxide_in[t] - carbon_dioxide_out[t]; +electricity[t] == conversion_factor_electricity * carbon_dioxide_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +carbon_dioxide_stored[t] >= 0; +carbon_dioxide_in[t] >= 0; +carbon_dioxide_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * carbon_dioxide_stored[t] + vom_flow * carbon_dioxide_in[t]; + +#NODE WATER_STORAGE +#PARAMETERS +full_capex_stock = 0.065; +full_capex_flow = 1.55923; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.0013; +fom_flow = 0.0312; +vom_stock = 0.0; +vom_flow = 0.0; +conversion_factor_electricity = 0.00036; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: water_stored[T]; +external: electricity[T]; +external: water_in[T]; +external: water_out[T]; +#CONSTRAINTS +water_in[t] <= capacity_flow; +water_out[t] <= capacity_flow; +water_stored[t] <= capacity_stock; +water_stored[0] == water_stored[T-1]; +water_stored[t+1] == water_stored[t] + water_in[t] - water_out[t]; +electricity[t] == conversion_factor_electricity * water_in[t]; +capacity_flow >= 0; +capacity_stock >= 0; +water_stored[t] >= 0; +water_in[t] >= 0; +water_out[t] >= 0; +electricity[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * water_stored[t] + vom_flow * water_in[t]; + +#NODE METHANATION_PLANTS +#PARAMETERS +HHV_CH4 = 15.441; +full_capex = 735.0 * HHV_CH4; // to obtain cost in MEur/(kt/h) +lifetime = 20.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 29.4 * HHV_CH4; // MEur/year +vom = 0.; +conversion_factor_hydrogen = 0.5; +conversion_factor_water = 2.25; +conversion_factor_carbon_dioxide = 2.75; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; + +conversion_factor_heat=0.2; //Ratio of released heat / methane HHV +heat_transfer_efficiency=0.407; //0.407 - cormos + + +#VARIABLES +internal: capacity; // kt/h - reference flow for sizing is methane +external: hydrogen[T]; +external: carbon_dioxide[T]; +external: methane[T]; +external: water[T]; +external: heat_out[T]; //GW + +#CONSTRAINTS +methane[t] <= capacity; +minimum_level * capacity <= methane[t]; +hydrogen[t] == conversion_factor_hydrogen * methane[t]; +carbon_dioxide[t] == conversion_factor_carbon_dioxide * methane[t]; +water[t] == conversion_factor_water * methane[t]; +methane[t] <= methane[t-1] + ramp_rate_up * capacity; +methane[t-1] <= methane[t] + ramp_rate_down * capacity; +capacity >= 0; +methane[t] >= 0; +hydrogen[t] >= 0; +carbon_dioxide[t] >= 0; +water[t] >= 0; + +heat_out[t] == methane[t]*HHV_CH4*conversion_factor_heat*heat_transfer_efficiency; // [GW] +heat_out[t] >=0; + +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * methane[t]; + +#NODE METHANE_LIQUEFACTION_PLANTS +#PARAMETERS +full_capex = 5913.0; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 147.825; // MEur/year +vom = 0.0; +conversion_factor_electricity = 0.616; +conversion_factor_methane = 1.0; +minimum_level = 1.0; +ramp_rate_up = 0.0; +ramp_rate_down = 0.0; +#VARIABLES +internal: capacity; +external: electricity[T]; +external: methane[T]; +external: liquefied_methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +minimum_level * capacity <= liquefied_methane[t]; +electricity[t] == conversion_factor_electricity * liquefied_methane[t]; +methane[t] == conversion_factor_methane * liquefied_methane[t]; +liquefied_methane[t] <= liquefied_methane[t-1] + ramp_rate_up * capacity; +liquefied_methane[t-1] <= liquefied_methane[t] + ramp_rate_down * capacity; +capacity >= 0; +electricity[t] >= 0; +liquefied_methane[t] >= 0; +methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_HUB +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_CARRIERS +#PARAMETERS +number_carriers = 7; +full_capex = 2.537; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0.12685; // MEur/year +vom = 0.0; +schedule = import "carrier_schedule.csv"; +loading_time = 24; +travel_time = 116; +conversion_factor = 0.994; +#VARIABLES +internal: capacity; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= schedule[t] * capacity; +liquefied_methane_out[t+travel_time] == conversion_factor * liquefied_methane_in[t]; +liquefied_methane_out[t] == 0 where t < travel_time; +capacity >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity * loading_time * number_carriers; +min: vom * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_STORAGE_DESTINATION +#PARAMETERS +full_capex_stock = 2.641; +full_capex_flow = 0.001; +lifetime_stock = 30.0; +lifetime_flow = 30.0; +annualised_capex_stock = full_capex_stock * global.wacc * (1 + global.wacc)**lifetime_stock / ((1 + global.wacc)**lifetime_stock - 1); // MEur +annualised_capex_flow = full_capex_flow * global.wacc * (1 + global.wacc)**lifetime_flow / ((1 + global.wacc)**lifetime_flow - 1); // MEur +fom_stock = 0.05282; +fom_flow = 0.0; +vom_stock = 0.0; +vom_flow = 0.0; +#VARIABLES +internal: capacity_flow; +internal: capacity_stock; +internal: liquefied_methane_stored[T]; +external: liquefied_methane_in[T]; +external: liquefied_methane_out[T]; +#CONSTRAINTS +liquefied_methane_in[t] <= capacity_flow; +liquefied_methane_out[t] <= capacity_flow; +liquefied_methane_stored[t] <= capacity_stock; +liquefied_methane_stored[0] == liquefied_methane_stored[T-1]; +liquefied_methane_stored[t+1] == liquefied_methane_stored[t] + liquefied_methane_in[t] - liquefied_methane_out[t]; +capacity_flow >= 0; +capacity_stock >= 0; +liquefied_methane_stored[t] >= 0; +liquefied_methane_in[t] >= 0; +liquefied_methane_out[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex_stock + fom_stock) * capacity_stock + global.number_years_horizon * (annualised_capex_flow + fom_flow) * capacity_flow; +min: vom_stock * liquefied_methane_stored[t] + vom_flow * liquefied_methane_in[t]; + +#NODE LIQUEFIED_METHANE_REGASIFICATION +#PARAMETERS +full_capex = 1248.3; +lifetime = 30.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 24.97; // MEur/year +vom = 0.0; +conversion_factor = 0.98; +#VARIABLES +internal: capacity; +external: liquefied_methane[T]; +external: methane[T]; +#CONSTRAINTS +liquefied_methane[t] <= capacity; +methane[t] == conversion_factor * liquefied_methane[t]; +capacity >= 0; +methane[t] >= 0; +liquefied_methane[t] >= 0; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * liquefied_methane[t]; + + + +#NODE HRSG +#PARAMETERS // Comros et al. 2023 +full_capex = 450.0; // M€/GW +lifetime = 25.0; +annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur +fom = 0; // MEur/year +vom = 0.001; // MEur/GWh +turbine_efficiency = 0.86; //0.86 - cormos +#VARIABLES +internal: capacity; +external: electricity_out[T]; +external: heat_in[T]; +#CONSTRAINTS +capacity >= 0; +electricity_out[t] <= capacity; +electricity_out[t] >= 0; +heat_in[t] >= 0; +electricity_out[t] == turbine_efficiency * heat_in[t]; +#OBJECTIVES +min: global.number_years_horizon * (annualised_capex + fom) * capacity; +min: vom * electricity_out[t]; + + + +#HYPEREDGE INLAND_POWER_BALANCE +#CONSTRAINTS +SOLAR_PV_PLANTS.electricity[t] + WIND_PLANTS.electricity[t] + BATTERY_STORAGE.electricity_out[t] == BATTERY_STORAGE.electricity_in[t] + HVDC.electricity_in[t]; + +#HYPEREDGE COASTAL_POWER_BALANCE +#CONSTRAINTS +HVDC.electricity_out[t] + HRSG.electricity_out[t] == ELECTROLYSIS_PLANTS.electricity[t] + HYDROGEN_STORAGE.electricity[t] + DESALINATION_PLANTS.electricity[t] + WATER_STORAGE.electricity[t] + DIRECT_AIR_CAPTURE_PLANTS.electricity[t] + CARBON_DIOXIDE_STORAGE.electricity[t] + METHANE_LIQUEFACTION_PLANTS.electricity[t]; + +#HYPEREDGE COASTAL_HYDROGEN_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.hydrogen[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS.hydrogen[t] + METHANATION_PLANTS.hydrogen[t]; + +#HYPEREDGE COASTAL_WATER_BALANCE +#CONSTRAINTS +DESALINATION_PLANTS.water[t] + METHANATION_PLANTS.water[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water[t] + DIRECT_AIR_CAPTURE_PLANTS.water[t]; + +#HYPEREDGE COASTAL_CARBON_DIOXIDE_BALANCE +#CONSTRAINTS +DIRECT_AIR_CAPTURE_PLANTS.carbon_dioxide[t] + CARBON_DIOXIDE_STORAGE.carbon_dioxide_out[t] == CARBON_DIOXIDE_STORAGE.carbon_dioxide_in[t] + METHANATION_PLANTS.carbon_dioxide[t]; + +#HYPEREDGE COASTAL_METHANE_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.methane[t] == METHANE_LIQUEFACTION_PLANTS.methane[t]; + +#HYPEREDGE COASTAL_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +METHANE_LIQUEFACTION_PLANTS.liquefied_methane[t] + LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[t] + LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[t]; + + +#HYPEREDGE DESTINATION_LIQUEFIED_METHANE_BALANCE +#CONSTRAINTS +LIQUEFIED_METHANE_CARRIERS.liquefied_methane_out[t] + LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_out[t] == LIQUEFIED_METHANE_STORAGE_DESTINATION.liquefied_methane_in[t] + LIQUEFIED_METHANE_REGASIFICATION.liquefied_methane[t]; + +#HYPEREDGE DESTINATION_METHANE_BALANCE +#PARAMETERS +demand = import "gas_demand.csv"; +#CONSTRAINTS +LIQUEFIED_METHANE_REGASIFICATION.methane[t] == demand[t]; + + +#HYPEREDGE COSTAL_HEAT_BALANCE +#CONSTRAINTS +METHANATION_PLANTS.heat_out[t] == HRSG.heat_in[t]; + + +#HYPEREDGE COSTAL_DISTRICT_HEATING_BALANCE +#CONSTRAINTS +ELECTROLYSIS_PLANTS.heat_out[t] == DISTRICT_HEATING_PIPING.heat_in[t]; + diff --git a/examples/Waste Heat Recovery/data/wind_capacity_factors.csv b/examples/Waste Heat Recovery/data/wind_capacity_factors.csv new file mode 100644 index 0000000000000000000000000000000000000000..1cbe9059574f94c7529ef703112395a9f9fa5887 --- /dev/null +++ b/examples/Waste Heat Recovery/data/wind_capacity_factors.csv @@ -0,0 +1,43800 @@ 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