Backstepping controller design for a single phase DC/AC converter applied to grid-connected wind energy

In this paper, we present a system used a Permanent Magnet Synchronous Generator (PMSG) applied to wind energy, to generate electricity and inject it into home network. The objective is to perform modeling and nonlinear control system, and then the objective of the control is: enforcing power factor correction (PFC) with respect to the power grid. First part, we present the mathematical model of the whole system under study. Thereafter we propose a nonlinear backstepping control, to ensure the shape of the current and thus harmonic distortion reduced relative to classical control. To demonstrate the performance of methods, some results of the overall system simulations are presented under MATLAB / Simulink software.