Abstract: To solve the problems of low power factor and large amount of harmonic component caused by uncontrolled diode rectifier in wind-power generation, the mathematical models for each part of inverter in wind-power generation with back-to-back topology were analyzed. Considering the control strategy of inverter at machine side and the net side, mathematical models of grid-connected converter and wind-power generation inverter were established. Simulations were implemented using Simulink software. The results have verified the correctness and feasibility of proposed control strategies in this paper.