diff --git a/examples/synthetic_methane_morocco/README.md b/examples/synthetic_methane_morocco/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..5b9b12b4168510a865908e32a463e9358db5a903
--- /dev/null
+++ b/examples/synthetic_methane_morocco/README.md
@@ -0,0 +1,43 @@
+
+This directory contains the GBOML models used in the paper
+
+> **Synthetic methane for closing the carbon loop: Comparative study of three
+carbon sources for remote carbon-neutral fuel synthetization**
+>
+> [Michaël Fonder](https://www.uliege.be/cms/c_9054334/fr/repertoire?uid=u225873), Pierre Counotte, [Victor Dachet](https://www.uliege.be/cms/c_9054334/fr/repertoire?uid=u234824), Jehan de Séjournet, and [Damien Ernst](https://www.uliege.be/cms/c_9054334/fr/repertoire?uid=u030242)
+
+
+In this repository, we use the following denomination for our three carbon sourcing configurations:
+* scenario 1 : DAC in Morocco
+* scenario 2 : PCCC in Morocco
+* scenario 3 : PCCC in Belgium + DAC in Morocco
+
+The sizing of the RREH can be optimized for all the configurations described in the paper by running:
+```shell
+python run_models.py
+```
+
+Most of the data presented in the tables of the paper are derived from the output json file generated for each configuration. Computing the unit cost of each commodity requires some model alterations and cannot be simply derived from these data. To get the commodity cost for our models, we provide the [`commodity_costs.py`](commodity_costs.py) script which can be run to get the table of the commodity costs:
+```shell
+python commodity_cost.py
+```
+Output files will be located in a new `commodity_cost_results` directory.
+
+## Dependencies
+
+You need a working installation of GBOML with the python API, and of Gurobi to use the scripts given in this repository. GBOML models can be optimized individually with any working install of GBOML.
+
+## Citation
+
+If you use our work in your research, please consider citing our paper:
+
+```
+@article{Fonder2023Synthetic,
+ title = {Synthetic methane for closing the carbon loop: Comparative study of three carbon sources for remote carbon-neutral fuel synthetization},
+ author = {Fonder, Micha\"el and Counotte, Pierre and Dachet, Victor and De S\'ejournet, Jehan and Ernst, Damien},
+ booktitle = {arXiv},
+ month = {October},
+ year = {2023}
+}
+```
+
diff --git a/examples/synthetic_methane_morocco/commodity_cost.py b/examples/synthetic_methane_morocco/commodity_cost.py
new file mode 100644
index 0000000000000000000000000000000000000000..d0ba5518d934631fe7ab6040f167a82d19d62732
--- /dev/null
+++ b/examples/synthetic_methane_morocco/commodity_cost.py
@@ -0,0 +1,50 @@
+import argparse
+import gboml_functions as gf
+import os
+
+
+""" Production of a txt file with cost commodity per commodity unit """
+
+if __name__ == "__main__":
+ parser = argparse.ArgumentParser()
+ parser.add_argument('-n1', '--name1', help='Name gboml file scenario 1',
+ type=str, default=os.path.join('gboml_models','scenario_1.txt'))
+ parser.add_argument('-n2', '--name2', help='Name gboml file scenario 2',
+ type=str, default=os.path.join('gboml_models','scenario_2.txt'))
+ parser.add_argument('-n3', '--name3', help='Name gboml file scenario 3',
+ type=str, default=os.path.join('gboml_models','scenario_3.txt'))
+ parser.add_argument('-y', '--years', help='Number of years',
+ type=int, default=1)
+ parser.add_argument('-md', '--methane_demand', help='Methane demand in kt / h',
+ type=float, default=0)
+ parser.add_argument('-cd', '--co2_demand', help='CO2 demand in kt / h',
+ type=float, default=0.5)
+ parser.add_argument('-hd', '--hydrogen_demand', help='Hydrogen demand in kt / h',
+ type=float, default=1)
+ parser.add_argument('-wd', '--water_demand', help='Water demand in kt / h',
+ type=float, default=1)
+
+ args = parser.parse_args()
+
+ name1 = args.name1
+ name2 = args.name2
+ name3 = args.name3
+ years = args.years
+ methane_demand = args.methane_demand
+ co2_demand = args.co2_demand
+ hydrogen_demand = args.hydrogen_demand
+ water_demand = args.water_demand
+ timehorizon = 365*24*years
+
+ """ Commodity cost per commodity unit calculation """
+ """ Values saved in a .txt file """
+
+ gf.main(name1,timehorizon,methane_demand,hydrogen_demand,0,0,0,0) # only hydrogen demand
+ gf.main(name1,timehorizon,methane_demand,0,water_demand,0,0,0) # only water demand
+ gf.main(name1,timehorizon,methane_demand,0,0,co2_demand,1,0) # only co2 demand in scenario 1
+ gf.main(name2,timehorizon,methane_demand,0,0,co2_demand,2,0) # only co2 demand in scenario 2
+ gf.main(name3,timehorizon,methane_demand,0,0,co2_demand,3,1) # only co2 demand in scenario 3 + renewable energy cost
+
+
+
+
diff --git a/examples/synthetic_methane_morocco/gboml_functions.py b/examples/synthetic_methane_morocco/gboml_functions.py
new file mode 100644
index 0000000000000000000000000000000000000000..35d29a7a68a1aa99d9b991d8b38974ab655bb31c
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_functions.py
@@ -0,0 +1,232 @@
+
+from gboml import GbomlGraph
+import gboml.compiler.classes as gcc
+import json
+import os
+
+
+def main(file_name, timehorizon, methane_demand, hydrogen_demand, water_demand, co2_demand, scenario, renewable_energy):
+
+ """ GBOML graph run """
+
+ statut, output_file = gboml_graph_run_and_alteration(file_name, timehorizon, methane_demand, hydrogen_demand, water_demand, co2_demand, scenario)
+ if statut != 0:
+ if hydrogen_demand != 0:
+ commodity = 'hydrogen'
+ elif water_demand != 0:
+ commodity = 'water'
+ elif co2_demand != 0 and scenario == 1:
+ commodity = 'co2_s1'
+ elif co2_demand != 0 and scenario == 2:
+ commodity = 'co2_s2'
+ elif co2_demand != 0 and scenario == 3:
+ commodity = 'co2_s3'
+ else:
+ exit()
+
+ """ Cost calculation """
+
+ commodity_price(output_file, commodity, renewable_energy)
+
+ else:
+ exit()
+
+ return
+
+
+def gboml_graph_run(file_name, timehorizon):
+
+ """ GBOML graph creation and running """
+ file_name = os.path.splitext(file_name)[0]
+
+ gboml_model = GbomlGraph(timehorizon=timehorizon)
+ nodes, edges, global_param = gboml_model.import_all_nodes_and_edges(file_name + '.txt')
+ gboml_model.add_global_parameters(global_param)
+ gboml_model.add_nodes_in_model(*nodes)
+ gboml_model.add_hyperedges_in_model(*edges)
+ gboml_model.build_model()
+ solution, obj, status, solver_info, constr_info, _ = gboml_model.solve_gurobi()
+ print("Solved")
+ gathered_data = gboml_model.turn_solution_to_dictionary(solver_info, status, solution, obj, constr_info)
+
+ out_dir = 'model_outputs'
+ os.makedirs(out_dir, exist_ok=True)
+ scenario_nbre = os.path.split(file_name)[-1]
+ out_file = os.path.join(out_dir, scenario_nbre)
+
+ with open(out_file + '.json', "w") as fp:
+ json.dump(gathered_data, fp, indent=4)
+
+ print(out_file + '.json saved')
+
+ return
+
+
+def gboml_graph_run_and_alteration(file_name, timehorizon, methane_demand, hydrogen_demand, water_demand, co2_demand, scenario):
+ # return statut, output_file
+ # statut = 0 in case of error
+
+ file_name = os.path.splitext(file_name)[0]
+ demand_list = [methane_demand, hydrogen_demand, water_demand, co2_demand]
+ nb_commodity_different_zero = 0
+ for i in demand_list:
+ if i != 0:
+ nb_commodity_different_zero += 1
+ if nb_commodity_different_zero > 1:
+ print("TypeError: There must be only one commodity demand")
+ return 0, ''
+
+
+ """ GBOML graph creation """
+
+ gboml_model = GbomlGraph(timehorizon=timehorizon)
+ nodes, edges, global_param = gboml_model.import_all_nodes_and_edges(file_name + '.txt')
+
+
+ """ GBOML graph alteration """
+
+ for e in edges:
+ if e.name == 'WATER_BALANCE_HUB':
+ e.parameters = list(filter(lambda x: x.name != "demand" , e.parameters))
+ e.parameters.append(gcc.Parameter('demand', gcc.Expression('literal', water_demand)))
+
+ if e.name == 'HYDROGEN_BALANCE_HUB':
+ e.parameters = list(filter(lambda x: x.name != "demand" , e.parameters))
+ e.parameters.append(gcc.Parameter('demand', gcc.Expression('literal', hydrogen_demand)))
+
+
+ if e.name == 'METHANE_BALANCE_DESTINATION':
+ e.parameters = list(filter(lambda x: x.name != "demand" , e.parameters))
+ e.parameters.append(gcc.Parameter('demand', gcc.Expression('literal', methane_demand)))
+
+ if e.name == 'CO2_BALANCE_HUB':
+ e.parameters = list(filter(lambda x: x.name != "demand" , e.parameters))
+ e.parameters.append(gcc.Parameter('demand', gcc.Expression('literal', co2_demand)))
+
+ if scenario == 3 and e.name == 'CO2_PROD_DESTINATION':
+ conversion_factor_methane = e.parameters[1].expression.evaluate_expression({}) # kt CH4 / kt CO2
+ e.parameters = list(filter(lambda x: x.name != "demand" , e.parameters))
+ e.parameters.append(gcc.Parameter('demand', gcc.Expression('literal', co2_demand * conversion_factor_methane)))
+
+
+ """ GBOML graph run with gurobi """
+
+ gboml_model.add_global_parameters(global_param)
+ gboml_model.add_nodes_in_model(*nodes)
+ gboml_model.add_hyperedges_in_model(*edges)
+ gboml_model.build_model()
+ solution, obj, status, solver_info, constr_info, _ = gboml_model.solve_gurobi()
+ print("Solved")
+ gathered_data = gboml_model.turn_solution_to_dictionary(solver_info, status, solution, obj, constr_info)
+
+
+ if hydrogen_demand != 0:
+ commodity_changed = 'hydrogen'
+ elif water_demand != 0:
+ commodity_changed = 'water'
+ elif co2_demand != 0:
+ commodity_changed = 'co2'
+ else:
+ commodity_changed = ''
+
+ out_dir = 'commodity_cost_results'
+ os.makedirs(out_dir, exist_ok=True)
+ scenario_nbre = os.path.split(file_name)[-1]
+
+ out_file = os.path.join(out_dir,scenario_nbre)
+ with open(out_file + '_' + commodity_changed + '.json', "w") as fp:
+ json.dump(gathered_data, fp, indent=4)
+
+ print(out_file + '_' + commodity_changed + '.json saved')
+
+ return 1, out_file + '_' + commodity_changed + '.json'
+
+
+def save_value_in_file(output_file_name, commodity, cost): # commodity is a string while cost is a float object
+ with open (output_file_name, 'a') as output_file:
+ output_file.write('\n')
+ output_file.write(commodity)
+ if commodity == 'wind_hub' or commodity =='solar_pv_hub' or commodity == 'wind_be' or commodity == 'solar_pv_be':
+ output_file.write(' : %lf €/MWh' % cost)
+ else:
+ output_file.write(' : %lf €/t' % cost)
+
+ print(output_file_name + ' saved')
+
+ return
+
+
+def commodity_price(output_file, commodity, renewable_energy):
+
+ out_file_name = os.path.join(os.path.split(output_file)[0], 'commodity_cost.txt')
+ with open(output_file) as file:
+ data = json.load(file)
+
+
+ """ Commodity cost calculation """
+
+ if commodity == 'hydrogen':
+ objective = data["solution"]["objective"] # MEur
+ total_hydrogen_production = sum(data["solution"]["elements"]["ELECTROLYSIS_PLANTS"]["variables"]["hydrogen_out"]["values"]) # kt
+ commodity_cost = objective * 1000000 / (total_hydrogen_production * 1000) # Eur/t
+
+ elif commodity == 'water':
+ objective = data["solution"]["objective"] # MEur
+ total_water_production = sum(data["solution"]["elements"]["DESALINATION_PLANTS"]["variables"]["water_out"]["values"]) # kt
+ commodity_cost = objective * 1000000 / (total_water_production * 1000) # Eur/t
+
+ elif commodity == 'co2_s1':
+ objective = data["solution"]["objective"] # MEur
+ total_carbon_dioxide1_production = sum(data["solution"]["elements"]["DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION"]["variables"]["co2_out"]["values"]) # kt
+ commodity_cost = objective * 1000000 / (total_carbon_dioxide1_production * 1000) # Eur/t
+
+ elif commodity =='co2_s2':
+ objective = data["solution"]["objective"] # MEur
+ total_carbon_dioxide2_production = sum(data["solution"]["elements"]["PIPE_CO2_ON_SHORE_VERY_BIG"]["variables"]["flow_out"]["values"]) # kt
+ commodity_cost = objective * 1000000 / (total_carbon_dioxide2_production * 1000) # Eur/t
+
+ elif commodity == 'co2_s3':
+ objective = data["solution"]["objective"] # MEur
+ total_carbon_dioxide3_production = sum(data["solution"]["elements"]["PCCC_BE"]["variables"]["co2_source"]["values"]) # kt
+ commodity_cost = objective * 1000000 / (total_carbon_dioxide3_production * 1000) # Eur/t
+
+ else:
+ return
+
+ save_value_in_file(out_file_name, commodity, commodity_cost)
+
+
+ """ electricity cost calculation """
+
+ if renewable_energy != 0:
+
+ wind_hub_objective = sum(data["solution"]["elements"]["WIND_PLANTS"]["objectives"]["unnamed"]) # MEur
+ total_wind_hub_elec_out = sum(data["solution"]["elements"]["WIND_PLANTS"]["variables"]["elec_out"]["values"]) # Gwh
+ wind_hub_cost = wind_hub_objective * 1000000 / (total_wind_hub_elec_out * 1000) # Eur / MWh
+
+ pv_hub_objective = sum(data["solution"]["elements"]["SOLAR_PV_PLANTS"]["objectives"]["unnamed"]) # MEur
+ total_pv_hub_elec_out = sum(data["solution"]["elements"]["SOLAR_PV_PLANTS"]["variables"]["elec_out"]["values"]) # Gwh
+ pv_hub_cost = pv_hub_objective * 1000000 / (total_pv_hub_elec_out * 1000) # Eur / MWh
+
+ wind_be_objective = sum(data["solution"]["elements"]["WIND_PLANTS_BE"]["objectives"]["unnamed"]) # MEur
+ total_wind_be_elec_out = sum(data["solution"]["elements"]["WIND_PLANTS_BE"]["variables"]["elec_out"]["values"]) # GWh
+ wind_be_cost = wind_be_objective * 1000000 / (total_wind_be_elec_out * 1000) # Eur / MWh
+
+ pv_be_objective = sum(data["solution"]["elements"]["SOLAR_PV_PLANTS_BE"]["objectives"]["unnamed"]) # MEur
+ total_pv_be_elec_out = sum(data["solution"]["elements"]["SOLAR_PV_PLANTS_BE"]["variables"]["elec_out"]["values"]) # GWh
+ pv_be_cost = pv_be_objective * 1000000 / (total_pv_be_elec_out * 1000) # Eur / MWh
+
+
+
+
+
+ save_value_in_file(out_file_name,'wind_hub', wind_hub_cost)
+ save_value_in_file(out_file_name,'solar_pv_hub', pv_hub_cost)
+ save_value_in_file(out_file_name,'wind_be', wind_be_cost)
+ save_value_in_file(out_file_name,'solar_pv_be', pv_be_cost)
+
+
+
+
+ return
+
diff --git a/examples/synthetic_methane_morocco/gboml_models/Belgium.gboml b/examples/synthetic_methane_morocco/gboml_models/Belgium.gboml
new file mode 100644
index 0000000000000000000000000000000000000000..8a7d34716edf2bbc5c95e4d5ac9fb4b11ba1e816
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/Belgium.gboml
@@ -0,0 +1,150 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+
+#NODE PCCC_BE
+ #PARAMETERS
+ unit_kt_h = 0;
+ energy_carbon_dioxide = 0;
+ pre_installed_capacity = 0;
+ max_capacity = 0.23; // kt - maximum capacity of carbon capture
+ // data from Berger et al. 2019
+ capex_existing = 3150.0 * global.contingency_30; // M€/kt/h
+ fom_existing = 0.0;
+ vom_existing = 0.0;
+ lifetime_existing = 20;
+ // data from Berger et al. 2019
+ capex = 3150.0 * global.contingency_30; // M€/kt/h
+ fom = 0.0;
+ vom = 0.0;
+ lifetime = 20;
+ electricity_required_for_CO2 = 0.4125; // MWh/t or GWh/kt
+ // Other
+ yearly_capex_existing = capex_existing * global.wacc / (1 - (1 + global.wacc)**(-lifetime_existing));
+ yearly_capex = capex * global.wacc / (1 - (1 + global.wacc)**(-lifetime));
+ yearly_existing_cost = (yearly_capex_existing + fom_existing) * global.number_years_horizon * pre_installed_capacity;
+
+ max_co2_captured_rate = 0.9;
+ conversion_factor_methane = 0.364; // kt CH4 / kt CO2
+ #VARIABLES
+ external: elec_in[T];
+ internal: new_capacity;
+ external: co2_source[T]; //kt/h
+ external: co2_released[T]; // kt/h
+ external: co2_captured[T]; // kt/h
+ #CONSTRAINTS
+ co2_source[t] == co2_released[t] + co2_captured[t];
+ co2_captured[t] <= max_co2_captured_rate * co2_source[t];
+ co2_captured[t] >= 0;
+ co2_released[t] >= 0;
+
+ elec_in[t] >= 0;
+
+ new_capacity >= 0;
+ co2_captured[t] <= new_capacity;
+ // new_capacity <= max_capacity - pre_installed_capacity; // no hypothesis on maximum capacity of PCCC in belgium
+ elec_in[t] == electricity_required_for_CO2 * co2_captured[t];
+ #OBJECTIVES
+ min: (yearly_capex + fom) * global.number_years_horizon * new_capacity; // M€
+ min: vom * co2_captured[t]; // M€
+ min: global.co2_emission_cost * co2_released[t]; // M€
+
+#NODE CO2_STORAGE_BE
+ #PARAMETERS
+ full_capex_stock = 1.35 * global.contingency_10;
+ full_capex_flow = (32.4+16.2) * global.contingency_10;
+ 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: co2_stored[T];
+ external: elec_in[T];
+ external: co2_in[T];
+ external: co2_out[T];
+ #CONSTRAINTS
+ co2_in[t] <= capacity_flow;
+ co2_out[t] <= capacity_flow;
+ co2_stored[t] <= capacity_stock;
+ co2_stored[0] == co2_stored[T-1];
+ co2_stored[t+1] == co2_stored[t] + co2_in[t] - co2_out[t];
+ elec_in[t] == conversion_factor_electricity * co2_in[t];
+ capacity_flow >= 0;
+ capacity_stock >= 0;
+ co2_stored[t] >= 0;
+ co2_in[t] >= 0;
+ co2_out[t] >= 0;
+ elec_in[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 * co2_stored[t] + vom_flow * co2_in[t];
+
+#NODE CCGT_BE
+ // ASSET data for 2050 for advanced CCGT have been taken as defaults for cost and efficiency parameters
+ // ens.dk data for 2050 for minimum power and outage
+ #PARAMETERS
+ unit_GW = 0;
+ energy_electricity = 0;
+ pre_installed_capacity = 0; // GW(e) // DATA From Electricity MAP
+ max_capacity = 100; // GW(e)
+ //data from ASSET 2020
+ capex_existing = 820 * global.contingency_30; // k€/MW(e)
+ fom_existing = 17; // k€/MW(e)
+ vom_existing = 1.99 * 1/(10**3); // k€/MWh(e)
+ lifetime_existing = 25; // years
+ //data from ASSET 2050
+ capex = 750 * global.contingency_30; // k€/MW(e)
+ fom = 15; // k€/MW(e)
+ vom = 1.73 * 1/(10**3); // k€/MWh(e)
+ conversion_efficiency = 0.63; // kWh(e)/kWh(ch4_hhv)
+ self_consumption = 0.0002;
+ lifetime = 25; // years
+ // data from ens.dk
+ min_external_power = 0.4; //
+ planned_outage = 2/52; // 2 weeks/52
+ forced_outage = 0.02;
+ // Others
+ ramp_rate_up = 1.0; //
+ ramp_rate_down = 1.0; //
+ spec_CO2_emission = 0.202; // kt/GWh or t/MWh
+ nb_year = T/8760;
+ wacc = 0.07;
+ //yearly_capex_existing = capex_existing * wacc / (1 - (1 + wacc)**(-lifetime_existing));
+ yearly_capex = capex * wacc / (1 - (1 + wacc)**(-lifetime));
+ //yearly_existing_cost = (yearly_capex_existing + fom_existing) * nb_year * pre_installed_capacity;
+ conversion_factor_methane = 15.42; // GWh/kt
+ #VARIABLES
+ internal: new_capacity; // GW(e)
+ external: methane_in[T]; // kt(ch4)
+ external: elec_out[T]; // GWh(e)
+ external: co2_out[T]; // kt(co2)
+ #CONSTRAINTS
+ new_capacity >= 0;
+ pre_installed_capacity + new_capacity <= max_capacity;
+ min_external_power * (new_capacity + pre_installed_capacity) <= elec_out[t]/(1 - self_consumption);
+ elec_out[t]/(1 - self_consumption) <= new_capacity + pre_installed_capacity;
+ elec_out[t]/(1 - self_consumption) == conversion_efficiency * methane_in[t] * conversion_factor_methane;
+ elec_out[i] - elec_out[i-1] <= ramp_rate_up * (new_capacity + pre_installed_capacity) for i in [1:T-1];
+ elec_out[i] - elec_out[i-1] >= - ramp_rate_down * (new_capacity + pre_installed_capacity) for i in [1:T-1];
+ sum(elec_out[i]/(1 - self_consumption) for i in [0:T-1]) <= (1 - forced_outage - planned_outage) * (pre_installed_capacity + new_capacity) * T;
+ co2_out[t] == spec_CO2_emission * methane_in[t] * conversion_factor_methane;
+ #OBJECTIVES
+ min: (yearly_capex + fom) * nb_year * new_capacity ; // M€
+ min: vom * elec_out[t]; // M€
+ // min co2_cost: global.co2_emission_cost * co2_out[t];
+
\ No newline at end of file
diff --git a/examples/synthetic_methane_morocco/gboml_models/Commodity_transportation.gboml b/examples/synthetic_methane_morocco/gboml_models/Commodity_transportation.gboml
new file mode 100644
index 0000000000000000000000000000000000000000..745161ee77a8424e8a500f729bd4c4327cde13fe
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+++ b/examples/synthetic_methane_morocco/gboml_models/Commodity_transportation.gboml
@@ -0,0 +1,543 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+#NODE CO2_CARRIER
+ #PARAMETERS
+ #NODE CO2_LIQUEFACTION_PLANTS_BE // 28°C and 15 bara.
+ #PARAMETERS
+ full_capex = 55.8 * global.contingency_10; // M euro / kt / h
+ lifetime = 30.0;
+ annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur
+ fom = 2.79; // MEur/year
+ vom = 0.0;
+ conversion_factor_electricity = 0.014; // GWh / kt(co2) Data ENS.DK 0.16
+ conversion_factor_co2 = 0.99; // Data ENS.DK
+ minimum_level = 1.0;
+ ramp_rate_up = 0.0;
+ ramp_rate_down = 0.0;
+ #VARIABLES
+ internal: capacity;
+ external: elec_in[T];
+ external: co2_in[T];
+ external: liquefied_co2_out[T];
+ #CONSTRAINTS
+ liquefied_co2_out[t] <= capacity;
+ //minimum_level * capacity <= liquefied_co2_out[t];
+ elec_in[t] == conversion_factor_electricity * liquefied_co2_out[t];
+ co2_in[t] == conversion_factor_co2 * liquefied_co2_out[t];
+ //liquefied_co2_out[t] <= liquefied_co2_out[t-1] + ramp_rate_up * capacity;
+ //liquefied_co2_out[t-1] <= liquefied_co2_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ liquefied_co2_out[t] >= 0;
+ co2_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_co2_out[t];
+
+ #NODE LIQUEFIED_CO2_STORAGE_BE // data Berger et al, Tableau Data ENS.DK ??
+ #PARAMETERS
+ full_capex_stock = 2.3 * global.contingency_10; //M euro / kt
+ full_capex_flow = 0.0 * global.contingency_10; // 48.6 ?
+ 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 = 0.0;
+ vom_stock = 0.0;
+ vom_flow = 0.0;
+ #VARIABLES
+ internal: capacity_flow;
+ internal: capacity_stock;
+ internal: liquefied_co2_stored[T];
+ external: liquefied_co2_in[T];
+ external: liquefied_co2_out[T];
+ #CONSTRAINTS
+ liquefied_co2_in[t] <= capacity_flow;
+ liquefied_co2_out[t] <= capacity_flow;
+ liquefied_co2_stored[t] <= capacity_stock;
+ liquefied_co2_stored[0] == liquefied_co2_stored[T-1];
+ liquefied_co2_stored[t+1] == liquefied_co2_stored[t] + liquefied_co2_in[t] - liquefied_co2_out[t];
+ capacity_flow >= 0;
+ capacity_stock >= 0;
+ liquefied_co2_stored[t] >= 0;
+ liquefied_co2_in[t] >= 0;
+ liquefied_co2_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_co2_stored[t] + vom_flow * liquefied_co2_in[t];
+
+ #NODE LIQUEFIED_CO2_CARRIERS // Data ENS.DK 10 kt CO2 capacity
+ #PARAMETERS
+ number_carriers = 7;
+ full_capex = 5 * global.contingency_10; // M€/kt
+ lifetime = 40.0;
+ annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur
+ fom = 0.0; // 0.25; // MEur/year
+ vom = 0.0;
+ schedule = import "schedule_safi_one_year.csv";
+ loading_time = 24;
+ travel_time = 100;
+ conversion_factor = 1.0;
+ conversion_factor_methane = 15.42; // GWh/kt
+ energy_consumption = 0.0150/(24*10); // GWh/h/kt CO2
+ #VARIABLES
+ internal: capacity; // kt
+ external: liquefied_co2_in[T];
+ external: liquefied_co2_out[T];
+ external: liquefied_methane_in[T]; // GWh/h
+
+ #CONSTRAINTS
+ liquefied_co2_in[t] <= schedule[t] * capacity / loading_time;
+ liquefied_co2_in[t] == liquefied_co2_out[t+travel_time]*conversion_factor;
+ liquefied_co2_out[t] == 0 where t < travel_time;
+ // Below: availability_at_RREH * GWH/h/kt CO2 * days of travelling * Go there and back * reference capacity ens.dk * capacity * 1/hours of loading;
+ liquefied_methane_in[t+travel_time] * conversion_factor_methane == schedule[t] * energy_consumption * travel_time* 2 * capacity / loading_time ; // kt/h
+ liquefied_methane_in[t] >= 0;
+ // liquefied_methane_in[t] == 0 where t < travel_time;
+ capacity >= 0;
+ liquefied_co2_in[t] >= 0;
+ liquefied_co2_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity * number_carriers;
+ min: vom * liquefied_co2_in[t];
+
+ #NODE CO2_LIQUEFACTION_PLANTS_HUB // 28°C and 15 bara.
+ #PARAMETERS
+ full_capex = 55.8 * global.contingency_10;
+ lifetime = 30.0;
+ annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur
+ fom = 2.79; // MEur/year
+ vom = 0.0;
+ conversion_factor_electricity = 0.014; // GWh / kt(co2) Data ENS.DK 0.16
+ conversion_factor_co2 = 0.99; // Data ENS.DK
+ minimum_level = 1.0;
+ ramp_rate_up = 0.0;
+ ramp_rate_down = 0.0;
+ #VARIABLES
+ internal: capacity;
+ external: elec_in[T];
+ external: co2_in[T];
+ external: liquefied_co2_out[T];
+ #CONSTRAINTS
+ liquefied_co2_out[t] <= capacity;
+ //minimum_level * capacity <= liquefied_co2_out[t];
+ elec_in[t] == conversion_factor_electricity * liquefied_co2_out[t];
+ co2_in[t] == conversion_factor_co2 * liquefied_co2_out[t];
+ //liquefied_co2_out[t] <= liquefied_co2_out[t-1] + ramp_rate_up * capacity;
+ //liquefied_co2_out[t-1] <= liquefied_co2_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ liquefied_co2_out[t] >= 0;
+ co2_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_co2_out[t];
+
+ #NODE LIQUEFIED_CO2_STORAGE_HUB
+ #PARAMETERS
+ full_capex_stock = 2.3 * global.contingency_10;
+ full_capex_flow = 0.0 * global.contingency_10;
+ 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 = 0.0;
+ vom_stock = 0.0;
+ vom_flow = 0.0;
+ #VARIABLES
+ internal: capacity_flow;
+ internal: capacity_stock;
+ internal: liquefied_co2_stored[T];
+ external: liquefied_co2_in[T];
+ external: liquefied_co2_out[T];
+ #CONSTRAINTS
+ liquefied_co2_in[t] <= capacity_flow;
+ liquefied_co2_out[t] <= capacity_flow;
+ liquefied_co2_stored[t] <= capacity_stock;
+ liquefied_co2_stored[0] == liquefied_co2_stored[T-1];
+ liquefied_co2_stored[t+1] == liquefied_co2_stored[t] + liquefied_co2_in[t] - liquefied_co2_out[t];
+ capacity_flow >= 0;
+ capacity_stock >= 0;
+ liquefied_co2_stored[t] >= 0;
+ liquefied_co2_in[t] >= 0;
+ liquefied_co2_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_co2_stored[t] + vom_flow * liquefied_co2_in[t];
+
+ #NODE LIQUEFIED_CO2_REGASIFICATION
+ #PARAMETERS
+ full_capex = 25.1 * global.contingency_10;
+ lifetime = 30.0;
+ annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur
+ fom = 1.25; // MEur/year
+ vom = 0.0;
+ conversion_factor = 0.98;
+ #VARIABLES
+ internal: capacity;
+ external: liquefied_co2_in[T];
+ external: co2_out[T];
+ #CONSTRAINTS
+ liquefied_co2_in[t] <= capacity;
+ co2_out[t] == conversion_factor * liquefied_co2_in[t];
+ capacity >= 0;
+ co2_out[t] >= 0;
+ liquefied_co2_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_co2_in[t];
+
+ #HYPEREDGE LIQUEFIED_CO2_BALANCE_BE
+ #CONSTRAINTS
+ LIQUEFIED_CO2_CARRIERS.liquefied_co2_in[t] + LIQUEFIED_CO2_STORAGE_BE.liquefied_co2_in[t] == LIQUEFIED_CO2_STORAGE_BE.liquefied_co2_out[t] + CO2_LIQUEFACTION_PLANTS_BE.liquefied_co2_out[t];
+
+ #HYPEREDGE LIQUEFIED_CO2_BALANCE_HUB
+ #CONSTRAINTS
+ LIQUEFIED_CO2_REGASIFICATION.liquefied_co2_in[t] + LIQUEFIED_CO2_STORAGE_HUB.liquefied_co2_in[t] == LIQUEFIED_CO2_STORAGE_HUB.liquefied_co2_out[t] + LIQUEFIED_CO2_CARRIERS.liquefied_co2_out[t] + CO2_LIQUEFACTION_PLANTS_HUB.liquefied_co2_out[t];
+
+ #VARIABLES
+ external: BE_elec_in[T] <- CO2_LIQUEFACTION_PLANTS_BE.elec_in[T];
+ external: HUB_elec_in[T] <- CO2_LIQUEFACTION_PLANTS_HUB.elec_in[T];
+ external: BE_co2_in[T] <- CO2_LIQUEFACTION_PLANTS_BE.co2_in[T];
+ external: HUB_co2_in[T] <- CO2_LIQUEFACTION_PLANTS_HUB.co2_in[T];
+ external: co2_out[T] <- LIQUEFIED_CO2_REGASIFICATION.co2_out[T];
+ external: liquefied_methane_in[T] <- LIQUEFIED_CO2_CARRIERS.liquefied_methane_in[T];
+
+
+
+#NODE METHANE_CARRIER
+ #PARAMETERS
+ #NODE METHANE_LIQUEFACTION_PLANTS
+ #PARAMETERS
+ full_capex = 5913.0 * global.contingency_10;
+ 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: elec_in[T];
+ external: methane_in[T];
+ external: liquefied_methane_out[T];
+ #CONSTRAINTS
+ liquefied_methane_out[t] <= capacity;
+ minimum_level * capacity <= liquefied_methane_out[t];
+ elec_in[t] == conversion_factor_electricity * liquefied_methane_out[t];
+ methane_in[t] == conversion_factor_methane * liquefied_methane_out[t];
+ liquefied_methane_out[t] <= liquefied_methane_out[t-1] + ramp_rate_up * capacity;
+ liquefied_methane_out[t-1] <= liquefied_methane_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ liquefied_methane_out[t] >= 0;
+ methane_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_methane_out[t];
+
+ #NODE LIQUEFIED_METHANE_STORAGE_HUB
+ #PARAMETERS
+ full_capex_stock = 2.641 * global.contingency_10;
+ full_capex_flow = 0.001 * global.contingency_10;
+ 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 * global.contingency_10;
+ 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 "schedule_safi_one_year.csv";
+ loading_time = 24;
+ travel_time = 100;
+ conversion_factor = 1.0 - 5e-5 * travel_time;
+ #VARIABLES
+ internal: capacity;
+ external: liquefied_methane_in[T];
+ external: liquefied_methane_out[T];
+ #CONSTRAINTS
+ liquefied_methane_in[t] <= schedule[t] * capacity / loading_time;
+ 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 * number_carriers;
+ min: vom * liquefied_methane_in[t];
+
+ #NODE LIQUEFIED_METHANE_STORAGE_DESTINATION
+ #PARAMETERS
+ full_capex_stock = 2.641 * global.contingency_10;
+ full_capex_flow = 0.001 * global.contingency_10;
+ 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 * global.contingency_10;
+ 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_in[T];
+ external: methane_out[T];
+ #CONSTRAINTS
+ liquefied_methane_in[t] <= capacity;
+ methane_out[t] == conversion_factor * liquefied_methane_in[t];
+ capacity >= 0;
+ methane_out[t] >= 0;
+ liquefied_methane_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_methane_in[t];
+
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_DESTINATION
+ #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_in[t];
+
+ #VARIABLES
+ external: elec_in[T] <- METHANE_LIQUEFACTION_PLANTS.elec_in[T];
+ external: methane_in[T] <- METHANE_LIQUEFACTION_PLANTS.methane_in[T];
+ external: methane_out[T] <- LIQUEFIED_METHANE_REGASIFICATION.methane_out[T];
+ external: liquefied_methane_out[T] <- METHANE_LIQUEFACTION_PLANTS.liquefied_methane_out[T];
+ external: storage_liquefied_methane_out[T] <- LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_out[T];
+ external: storage_liquefied_methane_in[T] <- LIQUEFIED_METHANE_STORAGE_HUB.liquefied_methane_in[T];
+ external: liquefied_methane_in[T] <- LIQUEFIED_METHANE_CARRIERS.liquefied_methane_in[T];
+
+
+#NODE PIPE_CO2_OFF_SHORE // 0.12-0.5 kt/h
+ // DATA from ENS.DK
+ #PARAMETERS
+ length = 2780; // length of the pipe in km
+ capex = 4 * length * global.contingency_10; // M€/kt/h
+ fom = 20 * 1/(10**3) * length; // M€/kt/h
+ vom = 0; // M€/kt
+ lifetime = 50.0; // years
+ electricity_required_for_CO2 = 0.00002; //GW/kt/h
+ efficiency_pipe = 1.0;
+ yearly_capex = capex * global.wacc / (1 - (1 + global.wacc)**(-lifetime));
+ #VARIABLES
+ external: co2_in[T]; // kt/h
+ external: co2_out[T]; // kt/h
+ external: elec_in[T]; // GWH(e)
+ internal: capacity; // kt/h
+ #CONSTRAINTS
+ co2_out[t] == efficiency_pipe * co2_in[t];
+ capacity >= 0;
+ co2_in[t] >= 0;
+ co2_in[t] <= capacity;
+ elec_in[t] == electricity_required_for_CO2 * co2_in[t];
+
+ #OBJECTIVES
+ min: (yearly_capex + fom) * capacity * global.number_years_horizon;
+ min: vom * co2_in[t];
+
+
+
+#NODE METHANE_TRANSPORT_STORAGE
+ #PARAMETERS
+ #NODE PIPE_METHANE_OFF_SHORE // 1000 - 4000 MW (MWh / h), 70 bar
+ // DATA from ENS.DK
+ #PARAMETERS
+ conversion_factor_methane = 15.42; // GWh / kt
+ length = 2780; // length of the pipe in km
+ capex = 0.4 * conversion_factor_methane * length * global.contingency_10; // M€/kt/h (0.4 MEur / GWh/h / km)
+ fom = 0.2 * 1/(10**3) * conversion_factor_methane * length; // M€/kt/h
+ vom = 0; // M€/kt
+ lifetime = 50.0; // years
+ electricity_required_for_methane = 0.007 * conversion_factor_methane; //GW/kt/h
+ efficiency_pipe = 1.0;
+ yearly_capex = capex * global.wacc / (1 - (1 + global.wacc)**(-lifetime));
+ #VARIABLES
+ external: methane_in[T]; // kt/h
+ external: methane_out[T]; // kt/h
+ external: elec_in[T]; // GWH(e)
+ internal: capacity; // kt/h
+ #CONSTRAINTS
+ methane_out[t] == efficiency_pipe * methane_in[t];
+ capacity >= 0;
+ methane_in[t] >= 0;
+ methane_in[t] <= capacity;
+ elec_in[t] == electricity_required_for_methane * methane_in[t];
+
+ #OBJECTIVES
+ min: (yearly_capex + fom) * capacity * global.number_years_horizon;
+ min: vom * methane_in[t];
+
+ #NODE METHANE_LIQUEFACTION_PLANTS
+ #PARAMETERS
+ full_capex = 5913.0 * global.contingency_10;
+ 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: elec_in[T];
+ external: methane_in[T];
+ external: liquefied_methane_out[T];
+ #CONSTRAINTS
+ liquefied_methane_out[t] <= capacity;
+ minimum_level * capacity <= liquefied_methane_out[t];
+ elec_in[t] == conversion_factor_electricity * liquefied_methane_out[t];
+ methane_in[t] == conversion_factor_methane * liquefied_methane_out[t];
+ liquefied_methane_out[t] <= liquefied_methane_out[t-1] + ramp_rate_up * capacity;
+ liquefied_methane_out[t-1] <= liquefied_methane_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ liquefied_methane_out[t] >= 0;
+ methane_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_methane_out[t];
+
+ #NODE LIQUEFIED_METHANE_STORAGE_DESTINATION
+ #PARAMETERS
+ full_capex_stock = 2.641 * global.contingency_10;
+ full_capex_flow = 0.001 * global.contingency_10;
+ 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 * global.contingency_10;
+ 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_in[T];
+ external: methane_out[T];
+ #CONSTRAINTS
+ liquefied_methane_in[t] <= capacity;
+ methane_out[t] == conversion_factor * liquefied_methane_in[t];
+ capacity >= 0;
+ methane_out[t] >= 0;
+ liquefied_methane_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * liquefied_methane_in[t];
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_BE
+ #CONSTRAINTS
+ METHANE_LIQUEFACTION_PLANTS.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_in[t];
+
+
+ #VARIABLES
+ external: HUB_elec_in[T] <- PIPE_METHANE_OFF_SHORE.elec_in[T];
+ external: BE_elec_in[T] <- METHANE_LIQUEFACTION_PLANTS.elec_in[T];
+ external: methane_in[T] <- PIPE_METHANE_OFF_SHORE.methane_in[T];
+ external: REG_methane_out[T] <- LIQUEFIED_METHANE_REGASIFICATION.methane_out[T];
+ external: LIQ_methane_in[T] <- METHANE_LIQUEFACTION_PLANTS.methane_in[T];
+ external: PIPE_methane_out[T] <- PIPE_METHANE_OFF_SHORE.methane_out[T];
+
+
+
diff --git a/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CH4_production_line.gboml b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CH4_production_line.gboml
new file mode 100644
index 0000000000000000000000000000000000000000..6f90e15b8be4e7aec5c1c9c5b778cd969eeb3e74
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CH4_production_line.gboml
@@ -0,0 +1,185 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+
+#NODE DESALINATION_PLANTS
+ #PARAMETERS
+ full_capex = 28.08 * global.contingency_30;
+ 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: elec_in[T];
+ external: water_out[T];
+ #CONSTRAINTS
+ water_out[t] <= capacity;
+ minimum_level * capacity <= water_out[t];
+ elec_in[t] == conversion_factor_electricity * water_out[t];
+ water_out[t] <= water_out[t-1] + ramp_rate_up * capacity;
+ water_out[t-1] <= water_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ water_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * water_out[t];
+
+#NODE WATER_STORAGE
+ #PARAMETERS
+ full_capex_stock = 0.065 * global.contingency_10;
+ full_capex_flow = 1.55923 * global.contingency_10;
+ 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: elec_in[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];
+ elec_in[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;
+ elec_in[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 ELECTROLYSIS_PLANTS
+ #PARAMETERS
+ full_capex = 800.0 * global.contingency_30;
+ 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 = 53;
+ conversion_factor_water = 9.0;
+ minimum_level = 0.05;
+ #VARIABLES
+ internal: capacity; // GW - reference flow for sizing is electricity
+ external: elec_in[T]; // GWh/h
+ external: water_in[T]; // kt/h
+ external: hydrogen_out[T]; // kt/h
+ #CONSTRAINTS
+ elec_in[t] <= capacity;
+ minimum_level * capacity <= elec_in[t];
+ elec_in[t] == conversion_factor_electricity * hydrogen_out[t];
+ water_in[t] == conversion_factor_water * hydrogen_out[t];
+ capacity >= 0;
+ elec_in[t] >= 0;
+ hydrogen_out[t] >= 0;
+ water_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * elec_in[t];
+
+#NODE HYDROGEN_STORAGE
+ #PARAMETERS
+ full_capex_stock = 45.0 * global.contingency_10;
+ full_capex_flow = 0.0 * global.contingency_10;
+ 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: elec_in[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];
+ elec_in[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;
+ elec_in[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 METHANATION_PLANTS
+ #PARAMETERS
+ HHV_CH4 = 15.441; // GWh / kt
+ full_capex = 300.0 * global.contingency_30 * 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_co2 = 2.75;
+ conversion_factor_heat = 0.71/5.28; // GW (heat)/ GW (methane)
+ 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_in[T];
+ external: co2_in[T];
+ external: methane_out[T];
+ external: water_out[T];
+ external: heat_out[T]; // Gwh/h
+ #CONSTRAINTS
+ methane_out[t] <= capacity;
+ minimum_level * capacity <= methane_out[t];
+ hydrogen_in[t] == conversion_factor_hydrogen * methane_out[t];
+ co2_in[t] == conversion_factor_co2 * methane_out[t];
+ water_out[t] == conversion_factor_water * methane_out[t];
+ heat_out[t] == conversion_factor_heat * HHV_CH4 * methane_out[t];
+ methane_out[t] <= methane_out[t-1] + ramp_rate_up * capacity;
+ methane_out[t-1] <= methane_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ methane_out[t] >= 0;
+ hydrogen_in[t] >= 0;
+ heat_out[t] >= 0;
+ co2_in[t] >= 0;
+ water_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * methane_out[t];
\ No newline at end of file
diff --git a/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CO2_management.gboml b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CO2_management.gboml
new file mode 100644
index 0000000000000000000000000000000000000000..407ff12001d67c8abac4afc995263e075a3a94fc
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_CO2_management.gboml
@@ -0,0 +1,222 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+#NODE DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION // 2030
+ #PARAMETERS
+ full_capex = 6000 * global.contingency_30;
+ lifetime = 20.0;
+ annualised_capex = full_capex * global.wacc * (1 + global.wacc)**lifetime / ((1 + global.wacc)**lifetime - 1); // MEur
+ fom = 300; // MEur/kt
+ vom = 0.0; // MEur/kt
+ conversion_factor_electricity = 0.15; // Gwh/kt(co2)
+ conversion_factor_water = 5.0;
+ heat_consumption = 1.46; // GWh/kt(co2)
+ LHV_hydrogen = 33.3; // Gwh/kt(h2)
+ minimum_level = 1.0;
+ ramp_rate_up = 0.0;
+ ramp_rate_down = 0.0;
+ heat_recovery_factor = 0.2; // GWh/kt(co2)
+ #VARIABLES
+ internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing
+ external: elec_in[T];
+ external: water_in[T];
+ external: hydrogen_in[T];
+ external: co2_out[T];
+ external: heat_in[T]; // GWh from methanation
+ #CONSTRAINTS
+ co2_out[t] <= capacity;
+ minimum_level * capacity <= co2_out[t];
+ elec_in[t] == conversion_factor_electricity * co2_out[t];
+ water_in[t] == conversion_factor_water * co2_out[t];
+ hydrogen_in[t] * LHV_hydrogen + heat_in[t] + heat_recovery_factor * co2_out[t-1] == heat_consumption * co2_out[t];
+ co2_out[t] <= co2_out[t-1] + ramp_rate_up * capacity;
+ co2_out[t-1] <= co2_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ water_in[t] >= 0;
+ hydrogen_in[t] >= 0;
+ co2_out[t] >= 0;
+ heat_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * co2_out[t];
+
+
+#NODE DIRECT_AIR_CAPTURE_PLANTS
+ #PARAMETERS
+ full_capex = 4801.4 * global.contingency_30;
+ 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;
+ heat_consumption = 1.46; // GWh/kt(co2)
+ LHV_hydrogen = 33.3; // Gwh/kt(h2)
+ minimum_level = 1.0;
+ ramp_rate_up = 0.0;
+ ramp_rate_down = 0.0;
+ max_steam_level = 275/900;
+ min_hydrogen_level = 600/900;
+ #VARIABLES
+ internal: capacity; // kt/h - carbon dioxide is the reference flow for sizing
+ external: elec_in[T];
+ //external: hydrogen_in[T];
+ external: water_in[T];
+ external: co2_out[T];
+ //external: heat_in[T]; // GWh from methanation
+ #CONSTRAINTS
+ co2_out[t] <= capacity;
+ minimum_level * capacity <= co2_out[t];
+ elec_in[t] == conversion_factor_electricity * co2_out[t] + heat_consumption * co2_out[t];
+ water_in[t] == conversion_factor_water * co2_out[t];
+ //hydrogen_in[t] * LHV_hydrogen + heat_in[t] == heat_consumption * co2_out[t];
+ //heat_in[t] <= max_steam_level * heat_consumption * co2_out[t];
+ //hydrogen_in[t] * LHV_hydrogen >= min_hydrogen_level * heat_consumption * co2_out[t];
+ co2_out[t] <= co2_out[t-1] + ramp_rate_up * capacity;
+ co2_out[t-1] <= co2_out[t] + ramp_rate_down * capacity;
+ capacity >= 0;
+ elec_in[t] >= 0;
+ water_in[t] >= 0;
+ //hydrogen_in[t] >= 0;
+ co2_out[t] >= 0;
+ //heat_in[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * co2_out[t];
+
+#NODE POWER_PLANTS
+ #PARAMETERS
+ co2_energy_ratio_coal = 0.91; // kt (co2) / GWh
+ co2_energy_ratio_gas = 0.35; // kt (co2) / GWh
+
+ #NODE SAFI_POWER_STATION
+ #PARAMETERS
+ annual_yielded_energy = 10000; // GWh
+ distance_to_hub = 1.6; // km
+ #VARIABLES
+ internal: co2_out[T]; // kt (co2)
+ #CONSTRAINTS
+ co2_out[t] == POWER_PLANTS.co2_energy_ratio_coal * annual_yielded_energy / (365*24);
+ co2_out[t] >= 0;
+
+
+ #VARIABLES
+ internal: co2_out_SAFI[T] <- SAFI_POWER_STATION.co2_out[T];
+ external: co2_out[T]; // kt (co2)
+ #CONSTRAINTS
+ co2_out[t] == co2_out_SAFI[t];
+ co2_out[t] >= 0.0;
+
+#NODE PCCC
+ #PARAMETERS
+ unit_kt_h = 0.0;
+ energy_co2 = 0.0;
+ pre_installed_capacity = 0.0;
+ max_capacity = 5.0; // kt - maximum capacity of carbon capture
+ //capex_existing = 3150.0 * global.contingency_30; // M€/kt/h
+ //fom_existing = 0.0;
+ //vom_existing = 0.0;
+ //lifetime_existing = 20;
+ capex = 3150.0 * global.contingency_30; // M€/kt/h
+ fom = 0.0;
+ vom = 0.0;
+ lifetime = 20;
+ elec_in_required_for_CO2 = 0.4125; // MWh/t or GWh/kt
+ //yearly_capex_existing = capex_existing * global.wacc / (1 - (1 + global.wacc)**(-lifetime_existing));
+ yearly_capex = capex * global.wacc / (1 - (1 + global.wacc)**(-lifetime));
+ //yearly_existing_cost = (yearly_capex_existing + fom_existing) * global.number_years_horizon * pre_installed_capacity;
+ //ramp_rate_up = 0.0;
+ //ramp_rate_down = 0.0;
+ #VARIABLES
+ internal: new_capacity;
+ external: elec_in[T];
+ external: co2_released[T];
+ external: co2_captured[T];
+ #CONSTRAINTS
+ elec_in[t] >= 0;
+ new_capacity >= 0;
+ new_capacity <= max_capacity - pre_installed_capacity;
+ co2_captured[t] >= 0;
+ co2_released[t] >= 0;
+ co2_captured[t] <= new_capacity;
+ elec_in[t] == elec_in_required_for_CO2 * co2_captured[t];
+ //co2_captured[t] <= co2_captured[t-1] + ramp_rate_up * new_capacity;
+ //co2_captured[t-1] <= co2_captured[t] + ramp_rate_down * new_capacity;
+ #OBJECTIVES
+ min: (yearly_capex + fom) * global.number_years_horizon * new_capacity; // M€
+ min: vom * co2_captured[t]; // M€
+ min: global.co2_emission_cost * co2_released[t]; // M€
+
+
+#NODE CO2_STORAGE
+ #PARAMETERS
+ full_capex_stock = 2.3 * global.contingency_10;
+ full_capex_flow = (55.8+25.1) * global.contingency_10;
+ 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 = 2.79 + 1.25; // MEur/(kt/h)-year (carbon dioxide liquefaction + regasification)
+ vom_stock = 0.0;
+ vom_flow = 0.0;
+ conversion_factor_electricity = 0.014;
+ #VARIABLES
+ internal: capacity_flow;
+ internal: capacity_stock;
+ internal: co2_stored[T];
+ external: elec_in[T];
+ external: co2_in[T];
+ external: co2_out[T];
+ #CONSTRAINTS
+ co2_in[t] <= capacity_flow;
+ co2_out[t] <= capacity_flow;
+ co2_stored[t] <= capacity_stock;
+ co2_stored[0] == co2_stored[T-1];
+ co2_stored[t+1] == co2_stored[t] + co2_in[t] - co2_out[t];
+ elec_in[t] == conversion_factor_electricity * co2_in[t];
+ capacity_flow >= 0;
+ capacity_stock >= 0;
+ co2_stored[t] >= 0;
+ co2_in[t] >= 0;
+ co2_out[t] >= 0;
+ elec_in[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 * co2_stored[t] + vom_flow * co2_in[t];
+
+#NODE PIPE_CO2_ON_SHORE_VERY_BIG // 0.12-0.5 kt/h
+ // DATA from ENS.DK
+ #PARAMETERS
+ length = 1.6; // length of the pipe in km
+ capex = 2.3 * length * global.contingency_10; // M€/kt/h
+ fom = 20 * 1/(10**3) * length; // M€/kt/h
+ vom = 0; // M€/kt
+ lifetime = 50.0; // years
+ electricity_required_for_CO2 = 0.00002; //GW/kt/h
+ efficiency_pipe = 1.0;
+ yearly_capex = capex * global.wacc / (1 - (1 + global.wacc)**(-lifetime));
+ #VARIABLES
+ external: flow_in[T]; // kt/h
+ external: flow_out[T]; // kt/h
+ external: elec_in[T]; // GWH(e)
+ internal: capacity; // kt/h
+ #CONSTRAINTS
+ flow_out[t] == efficiency_pipe * flow_in[t];
+ capacity >= 0;
+ flow_in[t] >= 0;
+ flow_in[t] <= capacity;
+ elec_in[t] == electricity_required_for_CO2 * flow_in[t];
+
+ #OBJECTIVES
+ min: (yearly_capex + fom) * capacity * global.number_years_horizon;
+ min: vom * flow_in[t];
diff --git a/examples/synthetic_methane_morocco/gboml_models/Remote_hub_power_production.gboml b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_power_production.gboml
new file mode 100644
index 0000000000000000000000000000000000000000..5e4b047a82bbd0467d7775caace40134a4c3ff1a
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/Remote_hub_power_production.gboml
@@ -0,0 +1,121 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+#NODE SOLAR_PV_PLANTS
+ #PARAMETERS
+ full_capex = 380.0 * global.contingency_10;
+ 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 "maroc_pv_capacity_factor_one_year.csv"; // Dimensionless
+ max_capacity = 500.0; // GW
+ #VARIABLES
+ internal: capacity;
+ external: elec_out[T];
+ #CONSTRAINTS
+ elec_out[t] <= capacity_factor_PV[t] * capacity;
+ capacity <= max_capacity;
+ capacity >= 0;
+ elec_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * elec_out[t];
+
+#NODE WIND_PLANTS
+ #PARAMETERS
+ full_capex = 1040.0 * global.contingency_10;
+ 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 "maroc_wind_capacity_factor_one_year.csv"; // Dimensionless
+ max_capacity = 500.0; // GW
+ #VARIABLES
+ internal: capacity;
+ external: elec_out[T];
+ #CONSTRAINTS
+ elec_out[t] <= capacity_factor_wind[t] * capacity;
+ capacity <= max_capacity;
+ capacity >= 0;
+ elec_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * elec_out[t];
+
+#NODE BATTERY_STORAGE
+ #PARAMETERS
+ full_capex_stock = 142.0 * global.contingency_30;
+ full_capex_flow = 160.0 * global.contingency_30;
+ 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: elec_in[T];
+ external: elec_out[T];
+ #CONSTRAINTS
+ elec_in[t] <= capacity_flow;
+ elec_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 * elec_in[t] - elec_out[t] / efficiency_out;
+ capacity_flow >= 0;
+ capacity_stock >= 0;
+ electricity_stored[t] >= 0;
+ elec_in[t] >= 0;
+ elec_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 * elec_in[t];
+
+#NODE HVDC
+ #PARAMETERS
+ line_lenght = 650; // km
+ full_capex_lines = 0.25 * global.contingency_30 * line_lenght;
+ full_capex_stations = 2 * 115.0 * global.contingency_30;
+ 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 = 0.985 - 3.5e-5 * line_lenght;
+ #VARIABLES
+ internal: capacity;
+ external: elec_in[T];
+ external: elec_out[T];
+ #CONSTRAINTS
+ elec_in[t] <= capacity;
+ elec_out[t] == efficiency_HVDC * elec_in[t];
+ capacity >= 0;
+ elec_in[t] >= 0;
+ elec_out[t] >= 0;
+ #OBJECTIVES
+ min: global.number_years_horizon * (annualised_capex + fom) * capacity;
+ min: vom * elec_in[t];
+
+#HYPEREDGE POWER_BALANCE_ELEC_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
diff --git a/examples/synthetic_methane_morocco/gboml_models/belgium_pv_capacity_factor_one_year.csv b/examples/synthetic_methane_morocco/gboml_models/belgium_pv_capacity_factor_one_year.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d41c0101ac7414c608d5b45d23685d99642ff2e2
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/belgium_pv_capacity_factor_one_year.csv
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diff --git a/examples/synthetic_methane_morocco/gboml_models/belgium_wind_capacity_factor_one_year.csv b/examples/synthetic_methane_morocco/gboml_models/belgium_wind_capacity_factor_one_year.csv
new file mode 100644
index 0000000000000000000000000000000000000000..54b0c81b667cb8fe91b350e92ae26e75b58afffc
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/belgium_wind_capacity_factor_one_year.csv
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diff --git a/examples/synthetic_methane_morocco/gboml_models/co2_sources_less_model.txt b/examples/synthetic_methane_morocco/gboml_models/co2_sources_less_model.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7f9b9f51363f098a410c05863421473abcc3766c
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/co2_sources_less_model.txt
@@ -0,0 +1,73 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ gas_demand = 0.0739299599388333; // kt/h
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+//---- Remote Hub power production ----//
+
+ #NODE SOLAR_PV_PLANTS = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE WIND_PLANTS = import WIND_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE BATTERY_STORAGE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC = import HVDC from "Remote_hub_power_production.gboml";
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
+
+
+//---- Remote hub CH4 production line ----//
+
+
+ #NODE DESALINATION_PLANTS = import DESALINATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE WATER_STORAGE = import WATER_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE ELECTROLYSIS_PLANTS = import ELECTROLYSIS_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE HYDROGEN_STORAGE = import HYDROGEN_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE METHANATION_PLANTS = import METHANATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+
+
+ #HYPEREDGE WATER_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ DESALINATION_PLANTS.water_out[t] + METHANATION_PLANTS.water_out[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water_in[t] + demand;
+
+ #HYPEREDGE HYDROGEN_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ ELECTROLYSIS_PLANTS.hydrogen_out[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + METHANATION_PLANTS.hydrogen_in[t] + demand;
+
+
+
+//---- Commodities transportation ----//
+
+
+ #NODE METHANE_CARRIER = import METHANE_CARRIER from "Commodity_transportation.gboml";
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANE_CARRIER.liquefied_methane_out[t] + METHANE_CARRIER.storage_liquefied_methane_out[t] == METHANE_CARRIER.storage_liquefied_methane_in[t] + METHANE_CARRIER.liquefied_methane_in[t];
+
+ #HYPEREDGE POWER_BALANCE_HUB
+ #CONSTRAINTS
+ HVDC.elec_out[t] == ELECTROLYSIS_PLANTS.elec_in[t] + HYDROGEN_STORAGE.elec_in[t] + DESALINATION_PLANTS.elec_in[t] + WATER_STORAGE.elec_in[t] + METHANE_CARRIER.elec_in[t];
+
+
+ #HYPEREDGE METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANATION_PLANTS.methane_out[t] == METHANE_CARRIER.methane_in[t];
+
+
+ #HYPEREDGE METHANE_BALANCE_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ #CONSTRAINTS
+ METHANE_CARRIER.methane_out[t] == demand;
+
+
diff --git a/examples/synthetic_methane_morocco/gboml_models/maroc_pv_capacity_factor_one_year.csv b/examples/synthetic_methane_morocco/gboml_models/maroc_pv_capacity_factor_one_year.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ce9b9db2f5cedc524a340c13fcb049d3f0751130
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/maroc_pv_capacity_factor_one_year.csv
@@ -0,0 +1,8760 @@
+0
+0
+0
+0
+0
+0
+0
+0
+0.145
+0.393
+0.573
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diff --git a/examples/synthetic_methane_morocco/gboml_models/maroc_wind_capacity_factor_one_year.csv b/examples/synthetic_methane_morocco/gboml_models/maroc_wind_capacity_factor_one_year.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ee164391e9abeb278040f72ee770416212daf726
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/maroc_wind_capacity_factor_one_year.csv
@@ -0,0 +1,8760 @@
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+0.351
+0.342
diff --git a/examples/synthetic_methane_morocco/gboml_models/scenario_1.txt b/examples/synthetic_methane_morocco/gboml_models/scenario_1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8b396fd6bd441e4d3f8a594cc5182b5ecd9a63ca
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/scenario_1.txt
@@ -0,0 +1,85 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ gas_demand = 0.0739299599388333; // kt/h
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+//---- Remote Hub power production ----//
+
+ #NODE SOLAR_PV_PLANTS = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE WIND_PLANTS = import WIND_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE BATTERY_STORAGE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC = import HVDC from "Remote_hub_power_production.gboml";
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
+
+//---- Remote hub CO2 management ----//
+
+ #NODE DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION = import DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION from "Remote_hub_CO2_management.gboml";
+ #NODE CO2_STORAGE = import CO2_STORAGE from "Remote_hub_CO2_management.gboml";
+
+ #HYPEREDGE CO2_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.co2_out[t] + CO2_STORAGE.co2_out[t] == CO2_STORAGE.co2_in[t] + METHANATION_PLANTS.co2_in[t] + demand;
+
+
+
+//---- Remote hub CH4 production line ----//
+
+
+ #NODE DESALINATION_PLANTS = import DESALINATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE WATER_STORAGE = import WATER_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE ELECTROLYSIS_PLANTS = import ELECTROLYSIS_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE HYDROGEN_STORAGE = import HYDROGEN_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE METHANATION_PLANTS = import METHANATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+
+
+ #HYPEREDGE WATER_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ DESALINATION_PLANTS.water_out[t] + METHANATION_PLANTS.water_out[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.water_in[t] + demand;
+
+ #HYPEREDGE HYDROGEN_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ ELECTROLYSIS_PLANTS.hydrogen_out[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + METHANATION_PLANTS.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.hydrogen_in[t] + demand;
+
+ #HYPEREDGE HEAT_BALANCE
+ #CONSTRAINTS
+ METHANATION_PLANTS.heat_out[t] >= DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.heat_in[t];
+
+//---- Commodities transportation ----//
+
+
+ #NODE METHANE_CARRIER = import METHANE_CARRIER from "Commodity_transportation.gboml";
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANE_CARRIER.liquefied_methane_out[t] + METHANE_CARRIER.storage_liquefied_methane_out[t] == METHANE_CARRIER.storage_liquefied_methane_in[t] + METHANE_CARRIER.liquefied_methane_in[t];
+
+ #HYPEREDGE POWER_BALANCE_HUB
+ #CONSTRAINTS
+ HVDC.elec_out[t] == ELECTROLYSIS_PLANTS.elec_in[t] + HYDROGEN_STORAGE.elec_in[t] + DESALINATION_PLANTS.elec_in[t] + WATER_STORAGE.elec_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.elec_in[t] + CO2_STORAGE.elec_in[t] + METHANE_CARRIER.elec_in[t];
+
+
+ #HYPEREDGE METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANATION_PLANTS.methane_out[t] == METHANE_CARRIER.methane_in[t];
+
+
+ #HYPEREDGE METHANE_BALANCE_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ #CONSTRAINTS
+ METHANE_CARRIER.methane_out[t] == demand;
diff --git a/examples/synthetic_methane_morocco/gboml_models/scenario_2.txt b/examples/synthetic_methane_morocco/gboml_models/scenario_2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..86c66b2eafe35c215ebd7128599384fdd7959292
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/scenario_2.txt
@@ -0,0 +1,94 @@
+#TIMEHORIZON
+
+ T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ co2_emission_cost = 0.0;
+ gas_demand = 0.0739299599388333; // kt/h
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+//---- Remote Hub power production ----//
+
+ #NODE SOLAR_PV_PLANTS = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE WIND_PLANTS = import WIND_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE BATTERY_STORAGE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC = import HVDC from "Remote_hub_power_production.gboml";
+
+
+ #HYPEREDGE POWER_BALANCE_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
+
+//---- Remote hub CO2 management ----//
+
+ #NODE PCCC = import PCCC from "Remote_hub_CO2_management.gboml";
+ #NODE CO2_STORAGE = import CO2_STORAGE from "Remote_hub_CO2_management.gboml";
+ #NODE POWER_PLANTS = import POWER_PLANTS from "Remote_hub_CO2_management.gboml";
+ #NODE PIPE_CO2_ON_SHORE_VERY_BIG = import PIPE_CO2_ON_SHORE_VERY_BIG from "Remote_hub_CO2_management.gboml";
+
+
+ #HYPEREDGE CO2_CAPTURE
+ #PARAMETERS
+ max_co2_captured_rate = 0.9;
+ #CONSTRAINTS
+ PCCC.co2_captured[t] <= max_co2_captured_rate * POWER_PLANTS.co2_out[t];
+ POWER_PLANTS.co2_out[t] == PCCC.co2_captured[t] + PCCC.co2_released[t];
+
+ #HYPEREDGE CO2_BALANCE_PIPE
+ #CONSTRAINTS
+ PIPE_CO2_ON_SHORE_VERY_BIG.flow_in[t] == PCCC.co2_captured[t];
+
+ #HYPEREDGE CO2_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ PIPE_CO2_ON_SHORE_VERY_BIG.flow_out[t] + CO2_STORAGE.co2_out[t] == CO2_STORAGE.co2_in[t] + METHANATION_PLANTS.co2_in[t] + demand;
+
+
+//---- Remote hub CH4 production line ----//
+
+ #NODE DESALINATION_PLANTS = import DESALINATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE WATER_STORAGE = import WATER_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE ELECTROLYSIS_PLANTS = import ELECTROLYSIS_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE HYDROGEN_STORAGE = import HYDROGEN_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE METHANATION_PLANTS = import METHANATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+
+ #HYPEREDGE WATER_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ DESALINATION_PLANTS.water_out[t] + METHANATION_PLANTS.water_out[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water_in[t] + demand;
+
+ #HYPEREDGE HYDROGEN_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ ELECTROLYSIS_PLANTS.hydrogen_out[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + METHANATION_PLANTS.hydrogen_in[t] + demand;
+
+
+//---- Commodities transportation ----//
+
+ #NODE METHANE_CARRIER = import METHANE_CARRIER from "Commodity_transportation.gboml";
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANE_CARRIER.liquefied_methane_out[t] + METHANE_CARRIER.storage_liquefied_methane_out[t] == METHANE_CARRIER.storage_liquefied_methane_in[t] + METHANE_CARRIER.liquefied_methane_in[t];
+
+
+ #HYPEREDGE POWER_BALANCE_HUB
+ #CONSTRAINTS
+ HVDC.elec_out[t] == ELECTROLYSIS_PLANTS.elec_in[t] + HYDROGEN_STORAGE.elec_in[t] + DESALINATION_PLANTS.elec_in[t] + WATER_STORAGE.elec_in[t] + PCCC.elec_in[t] + CO2_STORAGE.elec_in[t] + METHANE_CARRIER.elec_in[t] + PIPE_CO2_ON_SHORE_VERY_BIG.elec_in[t];
+
+ #HYPEREDGE METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANATION_PLANTS.methane_out[t] == METHANE_CARRIER.methane_in[t];
+
+ #HYPEREDGE METHANE_BALANCE_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ #CONSTRAINTS
+ METHANE_CARRIER.methane_out[t] == demand;
diff --git a/examples/synthetic_methane_morocco/gboml_models/scenario_3.txt b/examples/synthetic_methane_morocco/gboml_models/scenario_3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..911bc81bea8cfc6ffca0f9b1ec7f63adb194e23a
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/scenario_3.txt
@@ -0,0 +1,122 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ gas_demand = 0.0739299599388333; // kt/h
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+
+//---- Remote Hub power production ----//
+
+ #NODE SOLAR_PV_PLANTS = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE WIND_PLANTS = import WIND_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE BATTERY_STORAGE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC = import HVDC from "Remote_hub_power_production.gboml";
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
+
+//---- Remote hub CO2 management ----//
+
+ #NODE DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION = import DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION from "Remote_hub_CO2_management.gboml";
+ // #NODE CO2_STORAGE = import CO2_STORAGE from "Remote_hub_CO2_management.gboml";
+
+
+ #HYPEREDGE CO2_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ CO2_CARRIER.co2_out[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.co2_out[t] == METHANATION_PLANTS.co2_in[t] + CO2_CARRIER.HUB_co2_in[t] + demand;
+
+
+//---- Remote hub CH4 production line ----//
+
+ #NODE DESALINATION_PLANTS = import DESALINATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE WATER_STORAGE = import WATER_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE ELECTROLYSIS_PLANTS = import ELECTROLYSIS_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE HYDROGEN_STORAGE = import HYDROGEN_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE METHANATION_PLANTS = import METHANATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+
+
+ #HYPEREDGE POWER_BALANCE_HUB
+ #CONSTRAINTS
+ HVDC.elec_out[t] == ELECTROLYSIS_PLANTS.elec_in[t] + HYDROGEN_STORAGE.elec_in[t] + DESALINATION_PLANTS.elec_in[t] + WATER_STORAGE.elec_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.elec_in[t] + METHANE_CARRIER.elec_in[t] + CO2_CARRIER.HUB_elec_in[t];
+
+ #HYPEREDGE WATER_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ DESALINATION_PLANTS.water_out[t] + METHANATION_PLANTS.water_out[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.water_in[t] + demand;
+
+ #HYPEREDGE HYDROGEN_BALANCE_HUB
+ #PARAMETERS
+ demand = 0;
+ #CONSTRAINTS
+ ELECTROLYSIS_PLANTS.hydrogen_out[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + METHANATION_PLANTS.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.hydrogen_in[t] + demand;
+
+ #HYPEREDGE HEAT_BALANCE
+ #CONSTRAINTS
+ METHANATION_PLANTS.heat_out[t] >= DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.heat_in[t];
+
+
+//---- Commodities transportation ----//
+
+ #NODE METHANE_CARRIER = import METHANE_CARRIER from "Commodity_transportation.gboml";
+ #NODE CO2_CARRIER = import CO2_CARRIER from "Commodity_transportation.gboml";
+
+ #HYPEREDGE LIQUEFIED_METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANE_CARRIER.liquefied_methane_out[t] + METHANE_CARRIER.storage_liquefied_methane_out[t] == METHANE_CARRIER.storage_liquefied_methane_in[t] + METHANE_CARRIER.liquefied_methane_in[t] + CO2_CARRIER.liquefied_methane_in[t];
+
+ #HYPEREDGE METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANATION_PLANTS.methane_out[t] == METHANE_CARRIER.methane_in[t];
+
+ #HYPEREDGE METHANE_BALANCE_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ #CONSTRAINTS
+ METHANE_CARRIER.methane_out[t] == demand;
+
+//---- CO2 capture, Belgium ----//
+
+ #NODE PCCC_BE = import PCCC_BE from "Belgium.gboml";
+
+
+ #HYPEREDGE CO2_BALANCE_DESTINATION
+ #CONSTRAINTS
+ CO2_CARRIER.BE_co2_in[t] == PCCC_BE.co2_captured[t];
+
+
+ #HYPEREDGE CO2_PROD_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ conversion_factor_methane = 0.364; // kt CH4 / kt CO2
+ #CONSTRAINTS
+ PCCC_BE.co2_source[t] == demand/conversion_factor_methane;
+
+
+//---- Hub power generation, Belgium ----//
+
+ //#NODE CCGT_BE = import CCGT_BE from "Belgium.gboml";
+ #NODE SOLAR_PV_PLANTS_BE = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml"
+ with capacity_factor_PV = import "belgium_pv_capacity_factor_one_year.csv";
+ #NODE WIND_PLANTS_BE = import WIND_PLANTS from "Remote_hub_power_production.gboml"
+ with capacity_factor_wind = import "belgium_wind_capacity_factor_one_year.csv";
+ #NODE BATTERY_STORAGE_BE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC_BE = import HVDC from "Remote_hub_power_production.gboml"
+ with line_lenght = 50;
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD_BE
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS_BE.elec_out[t] + WIND_PLANTS_BE.elec_out[t] + BATTERY_STORAGE_BE.elec_out[t] == BATTERY_STORAGE_BE.elec_in[t] + HVDC_BE.elec_in[t];
+
+ #HYPEREDGE ELEC_BALANCE_DESTINATION
+ #CONSTRAINTS
+ HVDC_BE.elec_out[t] == PCCC_BE.elec_in[t] + CO2_CARRIER.BE_elec_in[t];
diff --git a/examples/synthetic_methane_morocco/gboml_models/scenario_3_pipe.txt b/examples/synthetic_methane_morocco/gboml_models/scenario_3_pipe.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9175aeb2b842b8e0dcaa37cc68229fbf0841fd4a
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/scenario_3_pipe.txt
@@ -0,0 +1,113 @@
+#TIMEHORIZON
+T = 1*8760;
+
+#GLOBAL
+ wacc = 0.07;
+ number_years_horizon = T/8760;
+ cap_co2 = 0.0;
+ co2_emission_cost = 0.0;
+ contingency_10 = 1.1;
+ contingency_30 = 1.3;
+ gas_demand = 0.0739299599388333;
+
+//---- Remote Hub power production ----//
+
+ #NODE SOLAR_PV_PLANTS = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE WIND_PLANTS = import WIND_PLANTS from "Remote_hub_power_production.gboml";
+ #NODE BATTERY_STORAGE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC = import HVDC from "Remote_hub_power_production.gboml";
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS.elec_out[t] + WIND_PLANTS.elec_out[t] + BATTERY_STORAGE.elec_out[t] == BATTERY_STORAGE.elec_in[t] + HVDC.elec_in[t];
+
+
+//---- Remote hub CO2 management ----//
+
+ #NODE DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION = import DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION from "Remote_hub_CO2_management.gboml";
+ #NODE CO2_STORAGE = import CO2_STORAGE from "Remote_hub_CO2_management.gboml";
+
+ #HYPEREDGE CO2_BALANCE_HUB
+ #CONSTRAINTS
+ PIPE_CO2_OFF_SHORE.co2_out[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.co2_out[t] + CO2_STORAGE.co2_out[t] == CO2_STORAGE.co2_in[t] + METHANATION_PLANTS.co2_in[t];
+
+ #HYPEREDGE HEAT_BALANCE
+ #CONSTRAINTS
+ METHANATION_PLANTS.heat_out[t] >= DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.heat_in[t];
+
+
+//---- Remote hub CH4 production line ----//
+
+ #NODE DESALINATION_PLANTS = import DESALINATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE WATER_STORAGE = import WATER_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE ELECTROLYSIS_PLANTS = import ELECTROLYSIS_PLANTS from "Remote_hub_CH4_production_line.gboml";
+ #NODE HYDROGEN_STORAGE = import HYDROGEN_STORAGE from "Remote_hub_CH4_production_line.gboml";
+ #NODE METHANATION_PLANTS = import METHANATION_PLANTS from "Remote_hub_CH4_production_line.gboml";
+
+
+ #HYPEREDGE POWER_BALANCE_HUB
+ #CONSTRAINTS
+ HVDC.elec_out[t] == ELECTROLYSIS_PLANTS.elec_in[t] + HYDROGEN_STORAGE.elec_in[t] + DESALINATION_PLANTS.elec_in[t] + WATER_STORAGE.elec_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.elec_in[t] + METHANE_TRANSPORT_STORAGE.HUB_elec_in[t] + PIPE_CO2_OFF_SHORE.elec_in[t];
+
+ #HYPEREDGE WATER_BALANCE_HUB
+ #CONSTRAINTS
+ DESALINATION_PLANTS.water_out[t] + METHANATION_PLANTS.water_out[t] + WATER_STORAGE.water_out[t] == WATER_STORAGE.water_in[t] + ELECTROLYSIS_PLANTS.water_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.water_in[t];
+
+ #HYPEREDGE HYDROGEN_BALANCE_HUB
+ #CONSTRAINTS
+ ELECTROLYSIS_PLANTS.hydrogen_out[t] + HYDROGEN_STORAGE.hydrogen_out[t] == HYDROGEN_STORAGE.hydrogen_in[t] + DIRECT_AIR_CAPTURE_PLANTS_BASED_ON_SOLID_ADSORPTION.hydrogen_in[t] + METHANATION_PLANTS.hydrogen_in[t];
+
+
+//---- Commodities transportation ----//
+
+ #NODE METHANE_TRANSPORT_STORAGE = import METHANE_TRANSPORT_STORAGE from "Commodity_transportation.gboml";
+ #NODE PIPE_CO2_OFF_SHORE = import PIPE_CO2_OFF_SHORE from "Commodity_transportation.gboml";
+
+
+ #HYPEREDGE METHANE_BALANCE_HUB
+ #CONSTRAINTS
+ METHANATION_PLANTS.methane_out[t] == METHANE_TRANSPORT_STORAGE.methane_in[t];
+
+ #HYPEREDGE METHANE_BALANCE_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ #CONSTRAINTS
+ METHANE_TRANSPORT_STORAGE.PIPE_methane_out[t] + METHANE_TRANSPORT_STORAGE.REG_methane_out[t] == METHANE_TRANSPORT_STORAGE.LIQ_methane_in[t] + demand;
+
+
+//---- CO2 capture, Belgium ----//
+
+ #NODE PCCC_BE = import PCCC_BE from "Belgium.gboml";
+
+
+ #HYPEREDGE CO2_BALANCE_DESTINATION
+ #CONSTRAINTS
+ PIPE_CO2_OFF_SHORE.co2_in[t] == PCCC_BE.co2_captured[t];
+
+
+ #HYPEREDGE CO2_PROD_DESTINATION
+ #PARAMETERS
+ demand = global.gas_demand;
+ conversion_factor_methane = 0.364; // kt CH4 / kt CO2
+ #CONSTRAINTS
+ PCCC_BE.co2_source[t] == demand/conversion_factor_methane;
+
+
+//---- Hub power generation, Belgium ----//
+
+ //#NODE CCGT_BE = import CCGT_BE from "Belgium.gboml"
+ #NODE SOLAR_PV_PLANTS_BE = import SOLAR_PV_PLANTS from "Remote_hub_power_production.gboml"
+ with capacity_factor_PV = import "belgium_pv_capacity_factor_one_year.csv";
+ #NODE WIND_PLANTS_BE = import WIND_PLANTS from "Remote_hub_power_production.gboml"
+ with capacity_factor_wind = import "belgium_wind_capacity_factor_one_year.csv";
+ #NODE BATTERY_STORAGE_BE = import BATTERY_STORAGE from "Remote_hub_power_production.gboml";
+ #NODE HVDC_BE = import HVDC from "Remote_hub_power_production.gboml"
+ with line_lenght = 50;
+
+ #HYPEREDGE POWER_BALANCE_ELEC_PROD_BE
+ #CONSTRAINTS
+ SOLAR_PV_PLANTS_BE.elec_out[t] + WIND_PLANTS_BE.elec_out[t] + BATTERY_STORAGE_BE.elec_out[t] == BATTERY_STORAGE_BE.elec_in[t] + HVDC_BE.elec_in[t];
+
+ #HYPEREDGE ELEC_BALANCE_DESTINATION
+ #CONSTRAINTS
+ HVDC_BE.elec_out[t] == PCCC_BE.elec_in[t] + METHANE_TRANSPORT_STORAGE.BE_elec_in[t];
diff --git a/examples/synthetic_methane_morocco/gboml_models/schedule_safi_one_year.csv b/examples/synthetic_methane_morocco/gboml_models/schedule_safi_one_year.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f8ee8af16736defa243657c9cfd0a24e72c1c40d
--- /dev/null
+++ b/examples/synthetic_methane_morocco/gboml_models/schedule_safi_one_year.csv
@@ -0,0 +1,8761 @@
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diff --git a/examples/synthetic_methane_morocco/run_models.py b/examples/synthetic_methane_morocco/run_models.py
new file mode 100644
index 0000000000000000000000000000000000000000..b23049be1f0c1bbf671f5b10f72b6f4137833503
--- /dev/null
+++ b/examples/synthetic_methane_morocco/run_models.py
@@ -0,0 +1,30 @@
+import argparse
+import gboml_functions as gf
+import os
+
+""" Enable to run gboml files one after the other """
+
+if __name__ == '__main__':
+ parser = argparse.ArgumentParser()
+ parser.add_argument('-if', '--input_files', nargs = '*', help='names gboml files to be run',
+ type=str, default=[
+ os.path.join('gboml_models','scenario_1.txt'),
+ os.path.join('gboml_models','scenario_2.txt'),
+ os.path.join('gboml_models','scenario_3.txt'),
+ os.path.join('gboml_models','scenario_3_pipe.txt')])
+ parser.add_argument('-y', '--years', help='Number of years',
+ type=int, default=1)
+
+
+ args = parser.parse_args()
+
+ files = args.input_files
+ years = args.years
+ timehorizon = 365*24*years
+
+ for file in files:
+ gf.gboml_graph_run(file, timehorizon)
+
+
+
+