Modelling aligned PSTs with integer taps
Contents
- Used input data
- Used parameters
- Defined optimization variables
- Used optimization variables
- Defined constraints
Used input data
| Name | Symbol | Details |
|---|---|---|
| DiscretePstGroups | \(g \in \mathcal{G}^{pst}_{RA}\) | Set of discrete PstRangeAction groups. Each RangeActionGroup contains a set of PstRangeActions, the PstRangeActions of the group have to be “aligned” between each other. \(r \in \mathcal{RA}(g)\) with: \(\mathcal{RA}(g) \subset \mathcal{RA} ^{PST}\) |
| Reference tap | \(t_{n}(r)\) | Tap of PstRangeAction \(r\) at the beginning of the current iteration of the MILP |
Used parameters
| Name | Details |
|---|---|
| pst-optimization-approximation | This filler is used only if this parameters is set to APPROXIMATED_INTEGERS |
Defined optimization variables
| Name | Symbol | Details | Type | Index | Unit | Lower bound | Upper bound |
|---|---|---|---|---|---|---|---|
| Group tap | \(T^{group}(g)\) | The tap of the group \(g\) | Defined as real value, but implicitely acts as an integer variables (see constraints) | One variable for every element of (DiscretePstGroups) | no unit | \(-\infty\) | \(+\infty\) |
Used optimization variables
| Name | Symbol | Defined in |
|---|---|---|
| PstRangeAction tap upward variation | \(\Delta t^{+} (r)\) | DiscretePstTapFiller |
| PstRangeAction tap downward variation | \(\Delta t^{-} (r)\) | DiscretePstTapFiller |
Defined constraints
Equality of the taps of the PSTs of the same group
\[\begin{equation} T^{group}(g) = t_{n}(r) + \Delta t^{+} (r) - \Delta t^{-} (r), \forall r \in \mathcal{RA}(g), \forall g \in \mathcal{G}^{pst}_{RA} \end{equation}\]See also