Matlab下永磁同步电机的三相坐标系建模

The Three Phase Coordinate System Modeling of Permanent Magnetic Synchronous Motor Based on Matlab

目前永磁同步电机本体的建模存在不足,一方面,Matlab\Simulink中的PMSM模块采用的坐标系非国内通用标准坐标系,且其集成性高,不便于根据实际修改参数;另一方面,自定义电机模型大多基于坐标转换进行搭建,普遍使用两相输入,与实际生产中广泛应用三相电输入的情况不符。因此针对三相静止坐标系下的PMSM建模进行研究,从电机三相定子电压方程出发,结合坐标转换矩阵,通过分析直轴电感和交轴电感之间的关系合理简化磁链方程,推导出三相静止坐标系下的磁链关系,并结合电机运动方程、电磁转矩方程得到三相坐标系下电机的数学模型。在此基础上结合实验仿真,证明了模型的正确性和有效性。

The present models of Permanent Magnetic Synchronous Motor（ PMSM） have shortcomings.On the one hand,the PMSM model in Matlab ／ Simulink applies the coordinate system which is quite different from those recorded in the reference materials in China,and because of its highly integrity,it is hard to modify the parameters and structure.And on the other hand,custom models are often built according to Clarke transformation,which have two phase inputs,while in engineering application the motor uses three phase input.So this paper combines the three phase stator equation with the Clarke transformation matrix,and simplifies the flux linkage by analyzing the relationship between the direct axis inductance and quadrature axis inductance,to derive the three phase coordinate system model with both motor equation and electromagnetic torque equation.It is proved by the simulation result that the new model here is correct and effective.