电压型变频器、三相交流异步电动机传动系统的稳定性

Stability for motor driver fed by voltage-type inverter

运用微分几何反馈控制方法,对电压型变频器、三相交流异步电机传动系统,在特殊的流形上,把这种多变量、非线性、强耦合的传动系统映射为两个独立的线性子系统;证明了系统的相对阶满足变换条件,提出了变换矩阵的构造性寻找方法;基于线性二阶系统Lyapunov函数,在此流形上,研究传动系统的稳定性函数,证明了这种函数的正定性以及其导数的定号性,最后对国产Y_系列15kW的电机进行研究,得出其稳定性判别函数,方法简单,而且稳定性区域大小满足工程实际需要.

The driver system with three_phase induction motor fed by voltage_type inverter is studied in terms of its stability characteristics by the method of differential geometry.On some special manifolds,this system,which is of multi_variables,nonlinear and strong coupling,can be mapped as two independent linear sub_systems.Based on the two_order system's Lyapunov functions,the stability of driver system is analyzed and a novel method of driver system's Lyapunov function is put forward.The function is proved to be positive and its different sign can not be changed.By applying this method to the Y_series made in China,it can meet the needs of the industry driver system.