This section defines all sets, parameters, and variables used in the market and redispatch model.
| Symbol | Description | Unit |
|---|
| $\mathbf{ACL}$ | Set of AC lines | - |
| $\mathbf{DCL}$ | Set of DC lines | - |
| $\mathbf{N}$ | Set of nodes | - |
| $\mathbf{P}$ | Set of power plants (including renewables) | - |
| $\mathbf{S}$ | Set of storage units | - |
| $\mathbf{T}$ | Set of time periods | - |
| $\mathbf{Z}$ | Set of market zones | - |
| Symbol | Description | Unit |
|---|
| $\mathbf{avail_{p,t}}$ | Availability of generating unit $p$ at time $t$ | - |
| $\mathbf{cap_{acl}^{max}}$ | Maximum capacity of AC line $acl$ | MW |
| $\mathbf{cap_{dcl}^{max}}$ | Maximum capacity of DC line $dcl$ | MW |
| $\mathbf{cap_{s}^{max}}$ | Maximum storage capacity of unit $s$ | MWh |
| $\mathbf{c^{curt}}$ | Curtailment cost | $\mathrm{EUR}/\mathrm{MWh}$ |
| $\mathbf{c_{p,t}^{mc}}$ | Marginal cost of generating unit $p$ at time $t$ | $\mathrm{EUR}/\mathrm{MWh}$ |
| $\mathbf{charge_{s,t}}$ | Charging of storage unit $s$ at time $t$ (input, redispatch) | MW |
| $\mathbf{cu_{p,t}}$ | Curtailment of unit $p$ at time $t$ (input, redispatch) | MWh |
| $\mathbf{gen_{p}^{max}}$ | Maximum generation capacity of unit $p$ | MW |
| $\mathbf{gen_{p,t}}$ | Generation of unit $p$ at time $t$ (input, redispatch) | MW |
| $\mathbf{gen_{s}^{max}}$ | Maximum generation capacity of storage unit $s$ | MW |
| $\mathbf{inflow_{s,t}}$ | Inflow into storage unit $s$ at time $t$ | MW |
| $\mathbf{load_{n,t}}$ | Load at node $n$ at time $t$ | MWh |
| $\mathbf{ntc_{z,zz}}$ | Nominal transmission capacity between zones $z$ and $zz$ | MW |
| $\mathbf{A^{dc}_{l\times n}}$ | Incidence matrix of DC lines | - |
| $\mathbf{B^{line}_{acl \times n}}$ | Line susceptance matrix | - |
| $\mathbf{B^{bus}_{n \times m}}$ | Bus susceptance matrix | - |
| $\mathbf{\\eta_s}$ | Efficiency of storage unit $s$ | - |
| Symbol | Description | Unit |
|---|
| $\mathbf{CHARGE_{s,t}}$ | Charging of storage unit $s$ at time $t$ | MW |
| $\mathbf{CHARGE_{s,t}^{down}}$ | Charging decrease of storage unit $s$ at time $t$ after redispatch | MW |
| $\mathbf{CHARGE_{s,t}^{redisp}}$ | Charging of storage unit $s$ at time $t$ after redispatch | MW |
| $\mathbf{CHARGE_{s,t}^{up}}$ | Charging increase of storage unit $s$ at time $t$ after redispatch | MW |
| $\mathbf{CU_{p,t}^{redisp}}$ | Curtailment of generating unit $p$ at time $t$ after redispatch | MWh |
| $\mathbf{CU_{z,t}}$ | Curtailment at zone $z$ at time $t$ | MWh |
| $\mathbf{EX_{z,t}^{net}}$ | Net exchange at zone $z$ at time $t$ | MWh |
| $\mathbf{EX_{zz,z,t}}$ | Exchange from zone $zz$ to zone $z$ at time $t$ | MWh |
| $\mathbf{F_{dcl,t}}$ | DC line flow at time $t$ | MW |
| $\mathbf{F_{dcl,t}^{neg}}$ | DC line flow in negative direction at time $t$ | MW |
| $\mathbf{F_{dcl,t}^{pos}}$ | DC line flow in positive direction at time $t$ | MW |
| $\mathbf{GEN_{p,t}}$ | Generation of unit $p$ at time $t$ | MW |
| $\mathbf{GEN_{p,t}^{redisp}}$ | Generation of unit $p$ at time $t$ after redispatch | MW |
| $\mathbf{INJ_{n,t}}$ | Injection at node $n$ at time $t$ | MW |
| $\mathbf{RAMP_{p,t}^{down}}$ | Ramping down of generating unit $p$ at time $t$ | MW |
| $\mathbf{RAMP_{p,t}^{up}}$ | Ramping up of generating unit $p$ at time $t$ | MW |
| $\mathbf{S_{s,t}^{lvl}}$ | Storage level of storage unit $s$ at time $t$ | MWh |
| $\mathbf{S_{s,t}^{lvl,redisp}}$ | State of charge of storage unit $s$ after redispatch at time $t$ | MWh |
| $\mathbf{\theta_n}$ | Voltage phase angle at node $n$ | - |
See market_model.md for the utilization of the Sets, Parameters and Variables.