A robust double integral sliding mode controller design based on an adaptive power reaching law for mitigating SSR problems

To solve the sub-synchronous resonance (SSR) problem in wind farms, an adaptive power reaching law-based robust double integral sliding mode controller is developed in this study. The rotor-side-converter (RSC) dynamic is considered to design the proposed controller as it has the noteworthy influence of eliminating the SSR problem relative to the grid-side-converter (GSC). In the proposed control framework, the sliding mode scheme is built-based on an adaptive power reaching law which ensures the elimination of SSR problems while enhancing the transient stability and steady-state tracking error performance in a quicker manner. Since the proposed nonlinear controller has a robustness property against uncertainties, exterior disturbance is also taken into consideration within the RSC dynamical model. The control signal is generated in a way that it meets the criteria for overall stability, and the Lyapunov theorem is applied to demonstrate the aggregate stability. Finally, in the MATLAB/SIMULINK platform, a simulation study is conducted to demonstrate its performance and compare it with an existing single integral SMC scheme.