引用本文:黄松清.电压型变频器、三相交流异步电动机传动系统的稳定性[J].控制理论与应用,2005,22(2):223~228.[点击复制]
HUANG Song-qing.Stability for motor driver fed by voltage-type inverter[J].Control Theory and Technology,2005,22(2):223~228.[点击复制]
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
摘要点击 1360  全文点击 2233  投稿时间:2003-06-30  修订日期:2004-03-29
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DOI编号  
  2005,22(2):223-228
中文关键词  微分几何方法  二阶系统  变量梯度法  交流异步电机稳定性函数
英文关键词  different geometry  two-order system  variable gradient method  alterate current induction motor stability function
基金项目  
作者单位
黄松清 安徽工业大学 电气信息学院自动化系,安徽 马鞍山 243002 
中文摘要
      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.
英文摘要
      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.