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CO2 cumulative consumption (t/h)
===============================

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

### Description

This KPI enables to display the consumption of each asset that consumes CO2 or CO2 captured at any node. 
This KPI is especially useful when there is a need to look at the total consumption of a country or a zone for instance, focusing on a type of assets (transmissions for instance).
For assets consuming other energies, please refer to the KPI [Cumulative consumption](cumulative_consumption.md).

This KPI directly returns optimized consumption variables. 
This means, for instance, that for a storage asset, it displays its raw consumption without deducting any production.

The KPI can also be used to group asset consumption by group.
It distinguishes between different type of consumption assets, relying on the tags defined for each technology : pure consumers, losses of load, variable renewables, storages, transmissions, well or producers.

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

  From a modeling point of a view, CO2 emissions into the atmosphere are modelled via the consumption of CO2 produced by a "CO2_EMISSIONS" asset.
  These assets appear in this KPI and correspond then to the CO2 emissions emitted within the corresponding country.
</blockquote>

### Calculation

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

Let be $x_{a, e, n}(t)$ the value returned by the KPI for a given asset $a$, energy $e$ and node $n$. The Technology and the data type (technology_type) are directly deduced from the asset.
We can then express $x_{a, e, n}(t)$ as:
$$
x_{a, e, n}(t) = c_{a, e, n}(t)
$$

*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 consumed by the asset (CO2 or CO2 captured)
- the asset_type refers to type of asset concerned (tags mentioned above)
- The node index of this KPI refers to the node in which the asset consumes
- 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

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