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Copy file name to clipboardExpand all lines: docs/user-guide/mathematical-notation/effects-penalty-objective.md
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@@ -197,7 +197,7 @@ Where:
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- $s_{l \rightarrow \Phi, \text{per}}$ is the periodic penalty share from element $l$
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- $s_{l \rightarrow \Phi, \text{temp}}(\text{t}_i)$ is the temporal penalty share from element $l$ at timestep $\text{t}_i$
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**Primary usage:** Penalties occur in [Buses](elements/Bus.md) via the `excess_penalty_per_flow_hour` parameter, which allows nodal imbalances at a high cost, and in time series aggregation to allow period flexibility.
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**Primary usage:** Penalties occur in [Buses](elements/Bus.md) via the `imbalance_penalty_per_flow_hour` parameter, which allows nodal imbalances at a high cost, and in time series aggregation to allow period flexibility.
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**Key properties:**
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- Penalty shares are added via `add_share_to_effects(name, expressions={fx.PENALTY_EFFECT_LABEL: ...}, target='temporal'/'periodic')`
Optionally, a Bus can have a `excess_penalty_per_flow_hour` parameter, which allows to penaltize the balance for missing or excess flow-rates.
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This is usefull as it handles a possible ifeasiblity gently.
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Optionally, a Bus can have an `imbalance_penalty_per_flow_hour` parameter, which allows to penalize the balance for missing or excess flow-rates.
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This is useful as it handles a possible infeasibility gently.
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This changes the balance to
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@@ -27,10 +27,10 @@ With:
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- $\mathcal{F}_\text{in}$ and $\mathcal{F}_\text{out}$ being the set of all incoming and outgoing flows
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- $p_{f_\text{in}}(\text{t}_i)$ and $p_{f_\text{out}}(\text{t}_i)$ being the flow-rate at time $\text{t}_i$ for flow $f_\text{in}$ and $f_\text{out}$, respectively
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- $\phi_\text{in}(\text{t}_i)$ and $\phi_\text{out}(\text{t}_i)$ being the missing or excess flow-rate at time $\text{t}_i$, respectively
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- $\phi_\text{in}(\text{t}_i)$ and $\phi_\text{out}(\text{t}_i)$ being the virtual supply and virtual demand at time $\text{t}_i$, respectively
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- $\text{t}_i$ being the time step
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- $s_{b \rightarrow \Phi}(\text{t}_i)$ being the penalty term
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- $\text a_{b \rightarrow \Phi}(\text{t}_i)$ being the penalty coefficient (`excess_penalty_per_flow_hour`)
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- $\text a_{b \rightarrow \Phi}(\text{t}_i)$ being the penalty coefficient (`imbalance_penalty_per_flow_hour`)
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