感应电机无源性分析及自适应控制

Passivity Analysis of Induction Motor and Adaptive Control

感应电机由于其变量非线性耦合、转子电量难以测量、电机参数时变性这3方面的问题,导致交流调速控制复杂。无源性控制理论应用于感应电机控制是一种全新的方法,其控制律是全局定义的,无输入输出线性化解耦奇点问题,是间接磁场定向控制。证明了感应电机转子磁链子系统的无源性,找到系统能量耗散特性方程中的无功力,它不会影响系统的稳定性,得出无需转子磁链观测反馈即能稳定跟踪转子磁链的参考值,同时考虑电机转子电阻在运行中发生未知变化,设计自适应调节器使系统对转子电阻呈现鲁棒性,构建了带电流内环速度控制系统。该方案保证转矩、转子磁链及转速的渐进跟踪,使调速系统具有良好的动静态性能,易于实现。仿真验证了设计的控制系统的有效性和先进性。

Due to the nonlinearity of the induction motor dynamics, the unavailability of the rotor side electrical variables, and significant variation of the motor parameters from their nominal values, the control of an induction motor is a difficult problem. The application of the passivity-based control（PBC） theory to the control of induction motor is a novel method. The controller developed in this paper is an indirect field-oriented one. The design of the control law is globally defined without singularity. First the passivity of motor rotor flux subsystem is proved. Workless forces have no influence on the energy balance equation and have no effect on the asymptotic stability. Then it is discussed that the system can stably track the reference rotor flux without rotor flux observer. At last an adaptive PBC strategy is proposed with regard to the rotor resistance change. A clear and simple design for the speed control subsystem with inner current loops is presented. The torque, rotor flux magnitude and rotor speed can be asymptotically trackedl The control system possesses nice dynamic and static performance. Simulink example demonstrates the feasibility and novelty of the designed system.