With the growing global energy crisis, the world"s major countries have transformed energy access from traditional fossil energy to new energy, wind energy is a huge reserve of clean and environmentally friendly energy, and has unlimited regenerative properties. In wind power systems, direct-drive permanent magnet synchronous motors are an important component, with advantages such as simple structure, high reliability and mature control strategies. In this paper, the mathematical model is derived based on a direct-drive permanent magnet synchronous motor; the control strategy for the generator-side and grid-side converters is investigated. Simulation models based on mathematical models and control strategies are built in Matlab\Simulink environment. After simulation, the control strategy can achieve accurate control of active power output, decoupling of active power and reactive power on the grid side, and stable control on the DC bus side, with better robustness and faster dynamic response adjustment than the traditional control strategy.