滑步与发散,运动系统与一般动力学系统——兼谢廖浩辉和唐云先生  

POLE-SLIP VS DIVERGENCE, MOTION SYSTEMS VS GENERAL DYNAMIC SYSTEMS

作　　者：薛禹胜[1] 

机构地区：[1]国电自动化研究院,江苏省南京市210003

出　　处：《电力系统自动化》2003年第7期17-21,40,共6页Automation of Electric Power Systems

基　　金：国家重点基础研究专项经费资助项目 (G19980 2 0 30 1) ;国家自然科学基金资助项目 (10 2 72 0 31) ;国家电力公司科技项目 (SP11- 2 0 0 2 - 0 1- 0 5 )

摘　　要：确了同步、滑步、蠕步的概念 ;指出滑步 (或称失步 )与发散 (或称无界失稳 )的区别和联系 ;揭示了运动系统经过动态鞍点是发生滑步的充要条件 ,而不是发散的充要条件。只有在非哈密顿因素及时变因素足够小的条件下 ,才能根据系统在有限时段内没有发生滑步的事实来断定它在该时段后也不会发散 ,或者根据系统在有限时段内发生了滑步的事实来断定其发散。强调 CCEBC/EEAC是运动系统的滑步稳定性理论。指出对于一般动力学中的一阶常微分方程 (组 ) ,只有在其右端为连续函数时才能等效为运动方程 。The differences and connections between pole-slip and divergence are clarified in this paper. Meeting a dynamic saddle point (DSP) with zero-valued speed on the disturbed trajectory is the necessary and sufficient condition of pole-slip for the motion system, but not that of divergence. It can be sure that the system, which didn't pass any DSP during a limited observation period won't pass any DSP afterwards, or that the system, which passed DSP during a limited observation period will diverge finally, only if the non-Hamilton and time-varying factors are weak enough. It is also emphasized that CCEBC/EEAC is a stability theory for nonlinear motion systems. General nonlinear dynamic systems with one-order differential equations can be analyzed using CCEBC/EEAC, only if all right-side functions are continuous.

关 键 词：滑步 发散 运动系统 一般动力学系统 电力系统 时变系统 运动稳定性 充要条件 混顿 

分 类 号：TM712[电气工程—电力系统及自动化]