Research Article
Model Predictive Control for Load Frequency Control with Wind Turbines
Table 1
Power system variables and parameter.
| Parameter/variable | Description | Unit |
| | Angular velocity of rotor | rad/s | | Angular velocity of high speed shaft and generator | rad/s | | Generator reaction torque | Nm | | Aerodynamic torque | Nm | | Total stiffness on low speed shaft | Nm/rad | | Inertia of the rotor (low speed shaft and gearbox) | Kgm2 | | Inertia of the rotor (high speed shaft and gearbox) | Kgm2 | | Exchange ratio | Null | | Efficiency of the gear box | % | | Actuator time constant | s | | Actuator gain | Hz/p.u.MW | | Wind speed | m/s | | Pitch demand | rad | | Pitch angle | rad | | Power demand | p.u.MW | | The output of wind turbine | p.u.MW | | Frequency deviation | Hz | | Generator output power deviation | p.u.MW | | Governor valve position deviation | p.u. | | Governor valve servomotor position deviation | p.u. | | Tie-line active power deviation | p.u.MW | | Load disturbance | p.u.MW | | Power system gain | Hz/p.u.MW | | Reheat turbine gain | Hz/p.u.MW | | Power system time constant | s | | Reheat turbine time constant | s | | Water starting time | s | , | Hydro governor time constants | s | | Thermal governor time constant | s | | Turbine time constant | s | | Interconnection gain between control areas | p.u.MW | | Frequency bias factor | p.u.MW/Hz | | Speed drop due to governor action | Hz/p.u.MW | | Area control error | p.u.MW |
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