Electricity CO2 content statistics (tCO2/MWh)#

indexed by: data type, node, statistics, test case

Description#

This KPI computes the minimum, maximum, average and demand weighted average value of the electricity CO2 content over the optimisation horizon for every node. It is intended to have an immediate overview of the electricity CO2 content over the electricity across the optimisation context nodes.

Calculation#

Let us declare the following variables:

\(e_{n, i}(t)\) the co2 electricity content at node \(n\) taking into account imported emissions at timestep \(t\)
\(e_{n, wi}(t)\) the co2 electricity content at node \(n\) not taking into account imported emissions at timestep \(t\)
\(c_{n, i}(t)\) the total electricity consumption at timestep \(t\) for the node \(n\) : \(c_{n, i}(t) = \sum_\limits{a \in A^c_{n,e}} c_{a,n,e}(t)\)
\(c_{n, wi}(t)\) the electricity consumption netted of the consumption of transmission assets at timestep \(t\) for the node \(n\)

We can then express the different values displayed by this indicator as:

Minimum#

\[\begin{split}x_{n, i}^{min}(t) = min_t[ \text{ } e_{n, i}(t)] \\ x_{n, wi}^{min}(t) = min_t[ \text{ } e_{n, wi}(t)]\end{split}\]

Maximum#

\[\begin{split}x_{n, i}^{max}(t) = max_t[ \text{ } e_{n, i}(t)] \\ x_{n, wi}^{max}(t) = max_t[ \text{ } e_{n, wi}(t)]\end{split}\]

Average#

\[\begin{split}x_{n, i}^{avg}(t) = mean_t[ \text{ } e_{n, i}(t)] \\ x_{n, wi}^{avg}(t) = mean_t[ \text{ } e_{n, wi}(t)]\end{split}\]

Weighted average#

\[x_{n, i}^{wgt \text{ } avg} = \frac{\sum_{t}e_{n,t}^{i} \cdot c_{n,t}}{\sum_{t} c_{n,t}^{i}}\]

\[x_{n, wi}^{wgt \text{ } avg} = \frac{\sum_{t}e_{n,wi}(t) \cdot c_{n, wi}(t)}{\sum_{t} c_{n, wi}(t)}\]

Calculation hint

For more details on how co2 electricity content timeseries is computed please refer to the electricity CO2 content documentation.

Global variables and parameters notations definitions can be consulted here.

Indexing#

The data type index of this KPI refers to the accounting type for electricity CO2 content : with and without imported emissions
The node index of this KPI refers to the node at which the electricity CO2 content is displayed
The statistics index of this KPI refers to the type of statistics displayed for marginal costs among minimum, maximum, average and weighted average
The test case index corresponds the test case of the realization variables and parameters are taken from