Monthly peak flow charge

Description

Apply a cost in each month of the year linked to the peak technology outflow in that month. NOTE: this is only suitable for small models otherwise the number of dimensions on the set_peak_month_flow constraint will lead to a very large memory footprint. One option to mitigate this is to define a separate constraint per month.

Helper functions used:

• sum (expression)

YAML definition

Download the YAML example

dimensions:
  months:
    dtype: integer
    ordered: true
    iterator: month

parameters:
  cost_month_peak:
    default: 0
    title: Monthly peak usage charge.
    description: >-
      Cost per unit power that is applied based on peak carrier outflow in each month.
    unit: $\frac{\text{cost}}{\text{power}}$

lookups:
  monthly_peak_mode:
    description: >-
      Table specifying whether a node-tech-carrier combination should have its peak monthly flow tracked
    dtype: bool

  lookup_month:
    description: Table linking timesteps to months
    dtype: bool

constraints:
  set_peak_month_flow:
    description: >-
      Set `flow_peak_month` as the peak outflow across all timesteps in each month
    foreach: [nodes, techs, carriers, timesteps, months]
    equations:
      - where: monthly_peak_mode AND lookup_month
        expression: flow_out <= flow_peak_month

variables:
  flow_peak_month:
    title: Monthly Peak Flow Out
    description: >-
      The peak flow out for each month.
      Useful for applying a monthly peak use cost (i.e. utility rate demand charges).
    default: 0
    unit: power
    foreach: [nodes, techs, carriers, months]
    where: monthly_peak_mode
    bounds:
      min: 0
      max: flow_cap_max

global_expressions:
  # Update the base math fixed operation cost global expression to include monthly costs.
  cost_operation_fixed:
    where: (cost_om_annual AND flow_cap) OR (cost_investment AND cost_om_annual_investment_fraction) OR (cost_month_peak AND flow_peak_month)
    equations:
      - expression: >-
          $annualisation_weight * (
            sum(cost_om_annual * flow_cap, over=carriers) +
            cost_investment * cost_om_annual_investment_fraction
          ) +
          sum(cost_month_peak * flow_peak_month, over=[carriers, months])