Back-stepping control for vertical axis wind power generation system maximum power point tracking based on extended state observer

Abstract

For overcoming the disadvantages of wide range wind power perturbation and model parameter uncertainties, a novel maximum power point tracking (MPPT) controller for permanent magnet synchronous generator (PMSG) based vertical axis wind power generation system is developed using back-stepping control method. The MPPT controller adopts wind turbine's optimum rotational speed tracking algorithm, and the wind turbine's dynamic aerodynamic mechanical torque is estimated by an extended state observer (ESO). According to the back-stepping controller design approach, virtual control signals and Lyapunov functions are constructed step by step. By employing Lyapunov stability theorem, back-stepping control law for each subsystem is worked out, thus, the global asymptotical stability for the overall closed-loop system that all virtual control signals involved is guaranteed. The back-stepping control system is simulated using Matlab/Simulink software, which is compared with a traditional PID control system. The simulation results verify the correctness and effectiveness of the back-stepping controller.