感应电机静态补偿电压模型及其稳定性分析

基于静态补偿电压模型磁链观测器的矢量控制系统在电机运行于低速时,稳定性不佳,负载能力不足。从静态补偿电压模型原理出发,深入分析了磁链静态补偿原理,并结合感应电机模型得出基于静态补偿电压模型的矢量控制系统磁链非线性动态方程。同时利用李雅普诺夫线性化理论,对非线性磁链系统进行局部线性化建立起磁链线性化模型,通过分析线性化系统的稳定性,给出了一种判别磁链非线性系统在平衡点处稳定性的方法。从理论上分析和证明了基于静态补偿电压模型磁链观测的感应电机矢量控制系统分别在高、低速运行时的稳定性。对理论分析给出了仿真和实验验证。

Modeling and Stability Analysis of the Static Compensation Voltage Model for Induction Motors

The vector control system based on static compensation voltage model(SCVM) flux observers has poor stability and load capacity at low speed.Based on the principle of static compensation voltage model,the authors analyzed the principle of flux static compensation and established the flux nonlinear dynamic equations of the vector control system in this paper.According to the Lyapunov linearization theory,a local linearization model on the nonlinear flux system was established,whose stability at the equilibrium point can be evaluated by the linearization system.The stability of the vector control system at high or low speed were theoretically analyzed and verified.Both the simulation and experimental results verified the theoretical analysis and the modeling method proposed in this paper.