Stabilization of DFIG-based wind turbine with active and reactive power: A coupling memory state-feedback control scheme

Abstract

In this paper, we examine a stabilization problem for the active and reactive power of doubly fed induction generator (DFIG)-based wind turbine (WT) through fuzzy coupling memory state-feedback control (CMSFC). In order to narrate the nonlinear terms in the proposed system, a more efficacious Takagi–Sugeno (T-S) fuzzy theory is utilized. The effective T-S fuzzy model describes the behavior of the nonlinear model into linear sub-models based on IF-THEN fuzzy membership functions and the corresponding fuzzy CMSFC is proposed. The main intention of this paper is to stabilize the active and reactive power constant, control the stator and rotor voltages of α−β frames when enhancing the system stable output power. To do this, a fuzzy CMSFC strategy is designed. By constructing a Lyapunov-Krasovskii functional (LKFs) with the effect of constant time-delay, the delay-dependent sufficient criteria are derived in the form of linear matrix inequalities (LMIs), which can be easily assessed by MATLAB LMI Control toolbox. Based on the delay-dependent sufficient criteria, the mean-square asymptotic stability of the DFIG-based WT system under the proposed controller is also achieved. Finally, we demonstrate the feasibility and efficacy of the proposed method through numerical simulations and comparative results.