感应电电动动机定子磁链与转矩的逆解耦及存在性

The inverse decoupling control for the stator flux and torque in induction motors and its existence

对于具有多变量、非线性、强耦合特征的异步电动机调速系统,实现定子磁链与电磁转矩的动态解耦控制是提高系统性能的关键.本文从异步电动机的5阶模型及其固有的电磁特性出发,证明了其系数矩阵的非奇异性,进而结合逆系统理论证明定子磁链与电磁转矩的逆解耦在任何状态下都是存在的.在此基础上设计了一种通过非线性状态反馈的逆解耦控制方案,将复杂系统解耦成电磁转矩与定子磁链的两个独立线性回路,然后利用线性系统理论分别对转矩与磁链调节器进行综合设计.仿真实验结果验证逆解耦的存在性与解耦控制方案的有效性.

For induction motor drives, characterized by MIMO, non-linearity and strong coupling, the key technique for improving its dynamic performance is to realize the dynamic decoupling between the stator flux and the electromagnetic torque. Based on a 5th-order model and the electromagnetic characteristics of an induction motor（IM）, we prove that the coefficient matrix is nonsingular, confirming the existence of the inverse decoupling control of stator flux and torque in any conditions. An inverse decoupling controller is designed via non-linear state feedback, which decouples the complex system into two independent linear subsystems, the electromagnetic torque system and the stator flux system. These two subsystems are separately synthesized using linear system theory. Simulation results verify the existence of the inverse decoupling and validate the proposed decoupling control scheme.