Scarcity price hours (h)#
indexed by: energy, node and test case
Description#
This indicator is used to analyse the number of hours when marginal costs of a node are higher than a certain value (80% of VoLL) reflecting scarcity of production capacity at said hours.
This KPI is useful to in comparison to loss of load hours, as this KPI looks at the dissemination/impact of LoL in one country on the neighbours.
Modelling hint
A country with many hours of scarcity (for instance more than 1.000 hours per year) is subject to intense stress on its energy system, and runs the risk of failure if unforeseen events occur, such as a supply disruption or unscheduled maintenance of a production plant. Investing in base or intermediate load production means should help reduce periods of scarcity.
Calculation#
All the equations below are valid for any realization and are therefore implicitly indexed by test case.
Let be \(x_{e, n}\) the value returned by this KPI for a given energy \(e\) and node \(n\). We can then express \(x_{e, n}\) as:
With:
\(f_{n, e}(t) = \begin{cases} \quad 1 \text{ if the marginal cost at time } t \text{ is above 80% of the VoLL for the energy } e \text{ and node } n \\ \quad 0 \text{ otherwise} \end{cases}\)
Calculation hint
Scarcity price hours are only computed on nodes and energies that have Loss of load assets
Global variables and parameters notations definitions can be consulted here.
Indexing#
The energy index of this KPI refers to the produced energy of Loss of load assets
The node index of this KPI refers to the node in which the scarcity price hours are observed
The test case index corresponds the test case of the realization variables and parameters are taken from