Marginal costs (€/MWh)

indexed by: energy, node, test case

Description

This view shows a time series of the marginal costs for producing each energy at each simulation node.

Calculation

At a node \(n\) the supply demand balance equation for an energy \(e\) can be written as:

\[\forall t \in T \sum_\limits{a \in A^p_{n,e}} p_{a, n, e}(t) = \sum_\limits{a \in A^c_{n,e}} c_{a, e, n}(t)\]

As long as the optimization problem representing our energy system is linear, this equation has a dual value associated that represents the marginal cost of energy \(e\). The value returned by this indicator is directly this dual variable.

Note

To simplify the analysis, CO2 and captured CO2 are included in this indicator. The unit is then €/t instead of €/MWh

Calculation hint

For energy CO2, the value returned by this indicator is the opposite of the dual value associated to the CO2 emissions consumption balance equation.

Indexing

• The energy index of this KPI refers to the energy which marginal costs is displayed

• The node index of this KPI refers to the node at which an energy marginal costs is displayed

• The test case index corresponds the test case of the realization variables and parameters are taken from