From 6f702363cab0b5f5d3f555799e5c0fd5215f803c Mon Sep 17 00:00:00 2001 From: matthieu-str Date: Fri, 17 Jan 2025 17:14:22 -0500 Subject: [PATCH] reformatted equation --- paper.md | 23 ++++++++++++++++++++--- 1 file changed, 20 insertions(+), 3 deletions(-) diff --git a/paper.md b/paper.md index 74ee7e7..d6c911b 100644 --- a/paper.md +++ b/paper.md @@ -180,9 +180,26 @@ respectively derived from the operation and resource normalized specific impacts $lcia^{norm}_{res}$), which are respectively computed from the operation and resource LCI datasets, and scaled with the annual energy production ($\pmb{F_t} \cdot t_{op}$). -\begin{equation}\label{eq:lcia_tot} -\pmb{LCIA_{tot}}(k) = \sum_{j \in TECH}(\pmb{LCIA_{infra}}(j,k) + \pmb{LCIA_{op}}(j,k)) + \sum_{r \in RES} \pmb{LCIA_{res}}(r,k) \quad \forall k \in ENV -\end{equation} +$$ +LCIA_{\text{tot}}(k) = \sum_{j \in \text{TECH}} \left( LCIA_{\text{infra}}(j, k) + LCIA_{\text{op}}(j, k) \right) ++ \sum_{r \in \text{RES}} LCIA_{\text{res}}(r, k) \quad \forall k \in \text{ENV} +$$ + +$$ +LCIA_{\text{infra}}(j, k) = lcia_{\text{infra}}^{\text{norm}}(j, k) +\cdot F(j) \cdot \frac{1}{n_{\text{ESM}}(j)} +\quad \forall (j, k) \in \text{TECH} \times \text{ENV} +$$ + +$$ +LCIA_{\text{op}}(j, k) = lcia_{\text{op}}^{\text{norm}}(j, k) \cdot \sum_{t \in T} F_t(j, t) \cdot t_{\text{op}}(t) +\quad \forall (j, k) \in \text{TECH} \times \text{ENV} +$$ + +$$ +LCIA_{\text{res}}(r, k) = lcia_{\text{res}}^{\text{norm}}(r, k) \cdot \sum_{t \in T} F_t(r, t) \cdot t_{\text{op}}(t) +\quad \forall (r, k) \in \text{RES} \times \text{ENV} +$$ ## Integrating ESM results in the LCI database In ordre to update the LCI database with the ESM results, `mescal` overwrites the relevant LCI datasets,