Documentation

The energy demand model gathers demand models for energies and computes a constraint for the optimization process. The constraint is simply to check that the energy production is higher than its demand.

Electricity demand model

The electricity demand model computes the demand in electricity varying in time with the population number and an electrical machine efficiency

$$electricity\_demand = init\_elec\_demand*\frac{population}{population[2020]}*\frac{EM\_efficiency[2020]}{EM\_efficiency}$$

with the init_elec_demand = 22847.66 TWh by default.

The EM_efficiency is computed with a sigmoid function calibrated to be equals to 0.95 in 2020, 0.98 in 2025 and 0.985 in the distant future (see post-processing).

The electricity demand_constraint is finally computed :

$$electricity\_demand\_constraint = -\frac{electricity\_prod - electricity\_demand}{ref \Delta t}$$

with a reference defined in input parameters.