Congestion hours (h)

indexed by: asset, energy, node, technology and test case

Description

The KPI computes the number of hours of congestion a transmission asset faces during the optimization.

The number of congestion hours corresponds to the number of hours during which an interconnection is saturated with respect to its available capacity.

Modelling hint

This KPI enables to understand if the established interconnections are undersized (high number of hours for a given asset). Investing in the interconnection can help decreasing the congestion rent in the considered energy system.

Modelling hint

For transmission assets with the flow-based behaviour, this KPI does not return any number of congestion hours as congestion cannot be defined for these assets.

Calculation

The equation below is valid for any realization and is therefore implicitly indexed by test case.

Let be \(x_{a, e, n}\) the value returned by the KPI for a given asset \(a\), energy \(e\) and node \(n\). Technology is directly deduced from the asset. We can then express \(x_{a, e, n}\) as:

\[x_{a, e, n} = \frac{1}{N_h} * \sum_{t} \mathbb{1}_{\text{c}_{a, e, n}(t)}\]

Where:

\[\begin{split}\mathbb{1}_{\text{c}_{a, e, n}(t)} = \begin{cases} 1 & \text{if } p_{a, e, n}(t) > 99.99 \% * p^{*}_a(t) \\ 0 & \text{otherwise.} \end{cases}\end{split}\]

Calculation hint

An interconnection is considered saturated when its production reaches 99.99% of its available production capacity. The choice of 99.99% instead of 100% as a criterion for congestion hours is made for numerical purposes.

Global variables and parameters notations definitions can be consulted here.

Indexing

• The asset index refers to the name of the asset

• The energy index is the energy produced by the asset

• The node index of this KPI refers to the node in which the asset produces

• The technology index refers to the technology type of the asset

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