Congestion rent (€)#
indexed by: asset, node, technology, test_case
Description#
The KPI computes the congestion rent of each transmission assets, i.e., the benefit made when transferring energy from a node to another. This indicator is calculated as the subtraction of transmission revenues and transmission costs and is therefore computed with the same formulas as asset surplus KPI.
Modelling hint
This indicator is called congestion rent, because at time steps when a line is not saturated, marginal costs in the two extremities of the line converge and transmission revenue from transferring energy from a node to another is 0. Transmission revenues therefore only occur when line is congested and marginal prices for the energy it carries differs between the 2 nodes to which it is connected.
Calculation hint
Since the result is given for each transmission, and that transmissions are directional (e.g. transmission N1−>N2 is different from transmission N2−>N1), one must sum the results given for each direction in order to have the total congestion rent associated to a transmission between two nodes.
Calculation#
Let be \(x_{a, n}\) the congestion rent of transmission \(a\) at node \(n\). We can then express \(x_{a, n}\) as:
With :
\(as_{a, n}\) : the asset surplus of transmission \(a\) at node \(n\)
\(ar_{a, n}\) : the asset revenues of transmission \(a\) at node \(n\)
\(ac_{a, n}\) : the asset costs of transmission \(a\) at node \(n\)
For more detailed explanations on how asset surplus, asset revenues and asset costs are computed please consider looking at associated documentation pages.
Global variables and parameters notations definitions can be consulted here.