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Wind energy, a kind of renewable and clean energy, is widely studied nowadays. Directly driven wind turbine permanent magnet synchronous generator (D-PMSG) plays an important role in the modern wind generating systems. A reliable and speedy simulation of the wind directly driven permanent-magnet synchronous generator is significant. By replacing the power electronic device with math equivalence, it established the windmill model, PMSG model, control model, voltage source converter (VSC) model, dc-line model, filter model and grid model in this paper. It achieved a simulation in Simulink of Matlab. This simulation model could fix the aim of maximum wind energy tracking, active power and reactive power independent control and variable speed constant frequency operation. With the influence of wind speed changing and short circuit occurring, the simulation results show the availability of the control strategies and research.