针对永磁同步电机(PMSM)直接转矩控制(DTC)中磁链和转矩观测器误差较大引起的转矩脉动的问题，提出了一种基于空间解析模型的磁链和转矩观测器，并应用于基于空间矢量脉宽调制的直接转矩控制(SVPWM-DTC)中。通过有限元仿真获取磁链和转矩数值解，由该数值解推导了一种考虑电机空间谐波和磁饱和特性的磁链和转矩空间解析模型，构建了一种新型高精度的磁链和转矩观测器。仿真和试验对比表明，基于空间解析模型的观测器具有较高精度，能够有效抑制观测器误差导致的SVPWM-DTC转矩脉动。

Aiming at the problem of torque ripple caused by large errors of flux linkage and torque observer in direct torque control (DTC) of permanent magnet synchronous motor (PMSM), a flux linkage and torque observer based on spatial analytical model is proposed and applied to DTC based on space vector pulse width modulation (SVPWM). Numerical solutions of the flux linkage and torque are obtained through finite element simulation, with which a flux linkage and torque spatial analytical model considering the space harmonics and magnetic saturation characteristics of the motor is derived. Based on these, a new type of high-precision flux linkage and torque observer is constructed. Simulation and experimental results show that the observers based on the spatial analytical model can effectively suppress torque ripple of SVPWM-DTC caused by observation errors.