The mathematical model of the grid-side converter is analyzed. A control system of the grid-side converter used in 7.5kW doubly-fed wind power generation simulation test platform is designed. The TI TMS320F28335 DSP is choosing to be the main controller. The decoupled control and the double closed loops control are adapted in the system. The control strategies of stabilizing DC-link voltage and unity power factor control operating at sub-synchronous and super-synchronous state are realized. The experimental results show that the mathematical model and control strategies are correct and effective.