From b9a97b32d908cbcc93efb20b5b7f8ef10eeb4f4b Mon Sep 17 00:00:00 2001 From: matthieu-str Date: Fri, 17 Jan 2025 17:21:27 -0500 Subject: [PATCH] removed \pmb --- paper.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/paper.md b/paper.md index 5c30c5d..f288e94 100644 --- a/paper.md +++ b/paper.md @@ -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}