Lyapunov Stability Scheme Based Nonlinear Power Transfer Matrix Model for Power Control and Modeling of PMSG‐Wind Turbines

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ABSTRACT This paper presents the Lyapunov stability scheme based nonlinear power transfer matrix (NLPTM) model for controlling and modeling the permanent magnet synchronous generator (PMSG) based wind turbine. The proposed model considers active and reactive power as system state variables; thus, the rotor flux has no impact on the changes in stator active and reactive powers. This approach is based on a nonlinear technique employed on the machine‐side ac/dc converter (MSC) and the grid‐side dc/ac converter (GSC) of the PMSG wind turbine to reduce the oscillating current during the energy conversion process. The effectiveness of the proposed Lyapunov‐integrated NLPTM approach is evaluated on a nonlinear controller‐integrated PMSG wind system through simulation and is validated against an existing control scheme under transient operating conditions. The results proved the proposed approach's superiority in enhancing the power flow and suppressing the transient currents to improve the stability of the PMSG wind turbine.