本文首先分析了永磁同步电机矢量控制的发展概况，然后从机电能量转换的角度出发，解释三相永磁同步电机的机电能量转换原理，推导拉格朗日运动方程。此外，列写出永磁同步电机在三相静止坐标系和dq坐标系下的数学模型。基于Simulink建立了转速电流双闭环矢量控制系统的仿真模型，通过对仿真结果分析，验证了永磁同步电机矢量控制系统性能的优越性。(This paper first analyzes the development of permanent magnet synchronous motor vector control, and then explains the electromechanical energy conversion principle of three-phase permanent magnet synchronous motor from the perspective of electromechanical energy conversion, and deduce the Lagrange motion equation. In addition, the mathematical model of permanent magnet synchronous motor (PMSM) in three phase stationary coordinate system and dq coordinate system is listed. Based on Simulink, a simulation model of speed and current double closed loop vector control system is established. By analyzing the simulation results, the performance of PMSM vector control system is verified.)