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136 lines (114 loc) · 3.35 KB
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import numpy as np
import pandas as pd
from scipy.optimize import minimize
PROVINCE_GRID_FACTORS = {
"British Columbia": 0.015,
"Alberta": 0.590,
"Ontario": 0.030,
"Quebec": 0.002,
"Saskatchewan": 0.660,
}
GAS_EMISSION_FACTOR = 53.06 # kg CO2 per MMBtu, common engineering estimate
def calculate_metrics(
electricity_kwh,
gas_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
):
energy_cost = electricity_kwh * electricity_price + gas_mmbtu * gas_price
emissions_kg = electricity_kwh * grid_ef + gas_mmbtu * gas_ef
carbon_cost = emissions_kg / 1000 * carbon_price
total_cost = energy_cost + carbon_cost
return {
"electricity_kwh": electricity_kwh,
"gas_mmbtu": gas_mmbtu,
"energy_cost_cad": energy_cost,
"emissions_kg": emissions_kg,
"carbon_cost_cad": carbon_cost,
"total_cost_cad": total_cost,
}
def optimize_energy_mix(
total_energy_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
objective="balanced",
):
# 1 MMBtu = 293.071 kWh
kwh_per_mmbtu = 293.071
def objective_function(x):
electric_share = x[0]
electricity_mmbtu = electric_share * total_energy_mmbtu
gas_mmbtu = (1 - electric_share) * total_energy_mmbtu
electricity_kwh = electricity_mmbtu * kwh_per_mmbtu
result = calculate_metrics(
electricity_kwh,
gas_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
)
if objective == "cost":
return result["total_cost_cad"]
elif objective == "emissions":
return result["emissions_kg"]
else:
normalized_cost = result["total_cost_cad"] / 10000
normalized_emissions = result["emissions_kg"] / 10000
return 0.5 * normalized_cost + 0.5 * normalized_emissions
result = minimize(
objective_function,
x0=[0.5],
bounds=[(0, 1)],
method="SLSQP",
)
electric_share = result.x[0]
electricity_mmbtu = electric_share * total_energy_mmbtu
gas_mmbtu = (1 - electric_share) * total_energy_mmbtu
electricity_kwh = electricity_mmbtu * kwh_per_mmbtu
metrics = calculate_metrics(
electricity_kwh,
gas_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
)
metrics["electric_share"] = electric_share
metrics["gas_share"] = 1 - electric_share
return metrics
def generate_tradeoff_curve(
total_energy_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
):
rows = []
kwh_per_mmbtu = 293.071
for electric_share in np.linspace(0, 1, 51):
electricity_mmbtu = electric_share * total_energy_mmbtu
gas_mmbtu = (1 - electric_share) * total_energy_mmbtu
electricity_kwh = electricity_mmbtu * kwh_per_mmbtu
metrics = calculate_metrics(
electricity_kwh,
gas_mmbtu,
electricity_price,
gas_price,
grid_ef,
gas_ef,
carbon_price,
)
metrics["electric_share"] = electric_share
metrics["gas_share"] = 1 - electric_share
rows.append(metrics)
return pd.DataFrame(rows)