Wind Turbine Machine Models

Slip is the difference between synchronous speed and rotor speed, expressed as a fraction of synchronous speed. It is zero at synchronous speed, positive during motoring, and negative during generation. Slip quantifies the relative motion between the magnetic field and rotor, which induces AC currents in the rotor windings and determines the machine's operating point.

Type 1 turbines use squirrel cage rotors with fixed resistance, providing simple, reliable operation. Type 2 turbines employ wound rotor induction machines with a control system that adjusts rotor resistance dynamically. This variable resistance in Type 2 allows better control over the machine's time constant and power output compared to Type 1's fixed design.

The AC-DC-AC converter connects the rotor or generator output to the AC network, enabling independent control of real and reactive power. Type 3 turbines use converters to control rotor currents, allowing wide speed ranges. Type 4 turbines fully decouple the generator from the grid through converters, providing flexible control and eliminating mechanical coupling with turbine dynamics.

Transient stability initial conditions are determined by setting two differential equations to zero and using power flow real power injection and terminal voltage as inputs. This approach establishes the steady-state operating point from which transient dynamics are analyzed. The resulting conditions define the machine's electrical and mechanical state at the start of stability analysis.

Induction machines require reactive power to establish and maintain the rotating magnetic field in the stator. This reactive power consumption is indicated by negative reactive power values in power flow calculations. The magnetizing reactance, derived from leakage and magnetizing reactance components, determines the reactive power requirement for field generation.

The equivalent circuit includes an equivalent voltage behind stator resistance and transient reactance. Key parameters are the open-circuit time constant for the rotor and synchronous reactance derived from leakage and magnetizing reactance. These parameters determine electrical torque and terminal real power injection based on internal voltages and currents.

Wind turbine models, particularly advanced types with converter control, significantly influence multimachine stability through their real and reactive power contributions. Understanding the interaction of electrical and mechanical components in wind turbine models is essential for accurate transient stability analysis. Type 3 and Type 4 turbines provide flexible control that can support grid voltage and frequency during disturbances.