Aiming at the problems of the DC over-voltage and the dynamic reactive power compensation, which caused by the doubly-fed wind generator switch Crowbar circuit when the grid voltage dips, and basing on the feedback linearization theory, the nonlinear control strategy on grid-side converter is proposed. This paper adopts a coordinated control STATCOM to compensate the dynamic reactive power of the grid. Simulation result shows that, the grid-side nonlinear controller can well restrain the DC over-voltage during the grid voltage dip, and meet the requirements of system reactive power by introducing a STATCOM compensation device. The result also confirms the correctness of the control strategy, which improves the ability of low voltage ride through (LVRT) of the system.