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flomnes committed Jul 23, 2024
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Expand Up @@ -181,17 +181,17 @@ Note: Almost all variables of the system are defined twice (one value per state)
### Short-term storages
| Notation | Explanation |
|---------------------------------------------------|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| $s\in \mathcal{S}$ | A single short-term storge reservoir |
| $L_s$ | Level at time t for storage $s$ |
| $\underline{L}_s$, $\overline{L}_s$ | Minimum (resp. maximum) level at time $t$ for storage $s$ also known as "rule-curves" |
| $L_s^0$ | Initial level for storage $s$ (optional) |
| $P^w_s$ | Withdrawal at time t for storage $s$. Note that this is from the storage's perspective : the amount of power withdrawn from the storage |
| $\underline{P}^i_s$, $\overline{P}^i_s$ | Minimum (resp. maximum) injection at time $t$ for storage $s$ |
| $\eta^i_s$ | Injection efficiency for storage $s$ |
| $P^i_s$ | Injection at time t for storage $s$. Note that this is from the storage's perspective : the amount of power injected into the storage |
| $\underline{P}^w_s$, $\overline{P}^w_s$ | Minimum (resp. maximum) withdrawal at time $t$ for storage $s$ |
| $\eta^w_s$ | Withdrawal efficiency for storage $s$ |
| $I_s$ | Inflows for storage $s$ at time $t$. Energy that is injected into the storage over time |
| $s\in \mathcal{S}$ | A single short-term storge reservoir. There is one set of short-term storage per area. |
| $L_s \in \mathbb{R}^T$ | Level for storage $s$ |
| $\underline{L}_s \in \mathbb{R}^T$, $\overline{L}_s \in \mathbb{R}^T$ | Minimum (resp. maximum) level for storage $s$ also known as "rule-curves" |
| $L_s^0 \in \mathbb{R}$ | Initial level for storage $s$ (optional) |
| $P^w_s \in \mathbb{R}^T$ | Withdrawal at time t for storage $s$. Note that this is from the storage's perspective : the amount of power withdrawn from the storage |
| $\underline{P}^i_s \in \mathbb{R}^T$, $\overline{P}^i_s \in \mathbb{R}^T$ | Minimum (resp. maximum) injection at time $t$ for storage $s$ |
| $\eta^i_s \in \mathbb{R}$ | Injection efficiency for storage $s$ |
| $P^i_s \in \mathbb{R}^T$ | Injection at time t for storage $s$. Note that this is from the storage's perspective : the amount of power injected into the storage |
| $\underline{P}^w_s \in \mathbb{R}^T$, $\overline{P}^w_s \in \mathbb{R}^T$ | Minimum (resp. maximum) withdrawal at time $t$ for storage $s$ |
| $\eta^w_s \in \mathbb{R}$ | Withdrawal efficiency for storage $s$ |
| $I_s \in \mathbb{R}^T$ | Inflows for storage $s$ at time $t$. Energy that is injected into the storage over time |

### Binding constraints

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