---
jupytext:
  text_representation:
    extension: .md
    format_name: myst
    format_version: 0.13
    jupytext_version: 1.10.3
kernelspec:
  display_name: Python 3
  language: python
  name: python3
---
<div style="text-align: justify"> 

Installed capacities (MW)
======

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

### Description

This KPI displays the installed production capacity of every energy producing asset (except for co2 and co2 captured). The way in which this capacity is calculated depends on the type of asset under consideration, whether it is optimised or not.

For a non-optimized asset, this KPI returns directly the fixed capacity of the  asset, which an input. 
For an optimized asset, the value displayed is the optimization result obtained for the capacity variable of the asset. 

Finally, for an asset optimized across a pathway study, this KPI returns the installed capacity at the end of the previous period plus the additional capacity installed during the current period minus the decommissioned capacity during the current period.

For co2 captured producing assets, the equivalent result is available in the KPI [CO2 captured installed capacities](co2_captured_installed_capacities.md).

<blockquote class="custom-hint">
  <h4>Modelling hint</h4>

  This KPI enables to visualize the nominal installed capacity. In many cases, the actual production capacity at each timestep does not correspond to the nominal capacity of the asset because its availability is not 100% throughout the entire period under consideration. 
  This available production capacity at each timestep can be visualized in the temporal KPI [Asset production](../temporal_kpis/asset_production.md)
</blockquote>

<blockquote class="custom-hint">
  <h4>Modelling hint</h4>

  For transmission assets with the flow-based behaviour, this KPI does not return any installed capacities as installed capacities cannot be defined for these assets. 
</blockquote>

### Calculation

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

Let be $x_{a, e, n}$ the installed capacity returned by the KPI for a given asset $a$, energy $e$ and node $n$. 
Technology index is directly deduced from the asset.

#### Simulated assets

For unoptimized assets, we directly have :

$$
x_{a, e, n} = p\_max_a
$$

With:

- $e$ : the main energy produced by asset $a$
- $n$ : the node to which this energy $e$ is produced

#### Optimized assets

For optimized assets we have :

$$
x_{a, e, n} = p^*_{a, e, n}
$$

With :

- $p^*_{a, e, n}$ : The optimized capacity variable associated to asset $a$ producing energy $e$ at node $n$

### Heat production capacities

For an asset $a$ producing heat at node $n$ :

If it has **FUEL** behaviour activated:

$$
x_{a, heat, n} = x_{a, e^a, n} * fuel\_yield\_heat_a / fuel\_yield_a
$$

If not :

$$
x_{a, heat, n} = x_{a, e^a, n} * heat\_over\_elec\_ratio_a
$$

With:

- $e^a$ : the main energy produced by asset $a$


*Global variables and parameters notations definitions can be consulted [here](../notations.md).*

### 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


</div>