PowerSystems.RenewableGen Formulations
Renewable generation formulations define the optimization models that describe renewable units mathematical model in different operational settings, such as economic dispatch and unit commitment.
The use of reactive power variables and constraints will depend on the network model used, i.e., whether it uses (or does not use) reactive power. If the network model is purely active power-based, reactive power variables and related constraints are not created.
Reserve variables for services are not included in the formulation, albeit their inclusion change the variables, expressions, constraints and objective functions created. A detailed description of the implications in the optimization models is described in the Service formulation section.
Table of contents
RenewableFullDispatch
PowerSimulations.RenewableFullDispatch — TypeFormulation type to add injection variables constrained by a maximum injection time series for RenewableGen
Variables:
- Bounds: [0.0, ]
- Symbol: $p^\text{re}$
- Bounds: [0.0, ]
- Symbol: $q^\text{re}$
Static Parameters:
- $P^\text{re,min}$ =
PowerSystems.get_active_power_limits(device).min - $Q^\text{re,min}$ =
PowerSystems.get_reactive_power_limits(device).min - $Q^\text{re,max}$ =
PowerSystems.get_reactive_power_limits(device).max
Time Series Parameters:
Uses the max_active_power timeseries parameter to limit the available active power at each time-step.
| Parameter | Default Time Series Name |
|---|---|
ActivePowerTimeSeriesParameter | max_active_power |
ReactivePowerTimeSeriesParameter | max_active_power |
Objective:
Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p^\text{re}$ to incentivize generation from RenewableGen devices.
Expressions:
Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations.
Constraints:
\[\begin{aligned} & P^\text{re,min} \le p_t^\text{re} \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\} \\ & Q^\text{re,min} \le q_t^\text{re} \le Q^\text{re,max}, \quad \forall t \in \{1,\dots, T\} \end{aligned}\]
RenewableConstantPowerFactor
PowerSimulations.RenewableConstantPowerFactor — TypeFormulation type to add real and reactive injection variables with constant power factor with maximum real power injections constrained by a time series for RenewableGen
Variables:
- Bounds: [0.0, ]
- Default initial value:
PowerSystems.get_active_power(device) - Symbol: $p^\text{re}$
- Bounds: [0.0, ]
- Default initial value:
PowerSystems.get_reactive_power(device) - Symbol: $q^\text{re}$
Static Parameters:
- $P^\text{re,min}$ =
PowerSystems.get_active_power_limits(device).min - $Q^\text{re,min}$ =
PowerSystems.get_reactive_power_limits(device).min - $Q^\text{re,max}$ =
PowerSystems.get_reactive_power_limits(device).max - $\text{pf}$ =
PowerSystems.get_power_factor(device)
Time Series Parameters:
| Parameter | Default Time Series Name |
|---|---|
ActivePowerTimeSeriesParameter | max_active_power |
ReactivePowerTimeSeriesParameter | max_active_power |
Objective:
Creates an objective function term based on the FunctionData Options where the quantity term is defined as $- p_t^\text{re}$ to incentivize generation from RenewableGen devices.
Expressions:
Adds $p^\text{re}$ and $q^\text{re}$ terms to the respective active and reactive power balance expressions created by the selected Network Formulations
Constraints:
\[\begin{aligned} & P^\text{re,min} \le p_t^\text{re} \le \text{ActivePowerTimeSeriesParameter}_t, \quad \forall t \in \{1,\dots, T\} \\ & q_t^\text{re} = \text{pf} \cdot p_t^\text{re}, \quad \forall t \in \{1,\dots, T\} \end{aligned}\]
Valid configurations
Valid DeviceModels for subtypes of RenewableGen include the following:
| Valid DeviceModel | Device Type | Formulation |
|---|---|---|
DeviceModel(RenewableDispatch, FixedOutput) | RenewableDispatch | FixedOutput |
DeviceModel(RenewableNonDispatch, FixedOutput) | RenewableNonDispatch | FixedOutput |
DeviceModel(RenewableDispatch, RenewableConstantPowerFactor) | RenewableDispatch | RenewableConstantPowerFactor |
DeviceModel(RenewableNonDispatch, RenewableConstantPowerFactor) | RenewableNonDispatch | RenewableConstantPowerFactor |
DeviceModel(RenewableDispatch, RenewableFullDispatch) | RenewableDispatch | RenewableFullDispatch |
DeviceModel(RenewableNonDispatch, RenewableFullDispatch) | RenewableNonDispatch | RenewableFullDispatch |