切换系统下永磁同步电机混杂系统模型

Hybrid model of permanent magnetic synchronous motor based on switched system

永磁同步电机在实际控制运行状态中,不但包含连续状态,还包含离散状态,无论针对哪种状态进行单一控制都无法获得良好的效果.因此结合工程实践,在考虑漏电感及直轴交轴电感的情况下,通过分析磁链方程,建立三相坐标系下永磁同步电机本体的非线性时变模型.针对逆变器建立其开关函数表,作为电机定子电压的离散状态,进而建立起永磁同步电机的开关混杂模型.通过开环状态下的仿真运行,证明了其正确性,为针对该混杂系统的控制及优化研究提供了基础.

In practical situations, permanent magnetic synchronous motor(PMSM) not only has the continuous states, but also the discrete ones. Neither of their control strategies could help the motor to achieved the optimize performance. Therefores an innovative hybrid model, combining both nonlinear and time-variant model of the motor body, is derived by analyzing the flux linkage equation while taking into account of the leakage inductance and the equivalent inductance the d-axis and q-axis. Then the switch function of converter is given as the discrete state event of the motor’s stator voltage, to build the hybrid system of the convex PMSM. Finally, the simulation results indicate the availability of the hybrid model, and provide evidences to help the researches to control and optimize methods of the hybrid system.