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removed \pmb
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matthieu-str committed Jan 17, 2025
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Expand Up @@ -171,14 +171,14 @@ magnitude, numerical stability is improved in the solving process.

## Equations specification
The following set of modelling equations should be included in ESM.
The environmental objective $\pmb{LCIA_{tot}}$ is defined as the sum of the impacts of the infrastructure, operation,
and resource parts, namely $\pmb{LCIA_{infra}}$, $\pmb{LCIA_{op}}$, and $\pmb{LCIA_{res}}$ (\autoref{eq:lcia_tot}).
The environmental objective $LCIA_{tot}$ is defined as the sum of the impacts of the infrastructure, operation,
and resource parts, namely $LCIA_{infra}$, $LCIA_{op}$, and $LCIA_{res}$.
The infrastructure impact is derived from the normalized specific impact ($lcia^{norm}_{infra}$), which is computed
from the infrastructure \gls{LCI} dataset. This value is then divided by the technology's lifetime in the ESM
($n_{ESM}$), and scaled with the technology's installed capacity ($\pmb{F}$). The operation and resource impacts are
($n_{ESM}$), and scaled with the technology's installed capacity ($F$). The operation and resource impacts are
respectively derived from the operation and resource normalized specific impacts ($lcia^{norm}_{op}$ and
$lcia^{norm}_{res}$), which are respectively computed from the operation and resource LCI datasets, and scaled
with the annual energy production ($\pmb{F_t} \cdot t_{op}$).
with the annual energy production (F_t \cdot t_{op}$).

$$
LCIA_{\text{tot}}(k) = \sum_{j \in \text{TECH}} \left( LCIA_{\text{infra}}(j, k) + LCIA_{\text{op}}(j, k) \right) + \sum_{r \in \text{RES}} LCIA_{\text{res}}(r, k) \quad \forall k \in \text{ENV}
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