非自治非线性多刚体系统运动稳定性的定量分析——兼论电力系统暂态稳定性(续前)

QUANTITATIVE STUDY OF GENERAL MOTION STABILITY

２２临界群的识别２２．１失稳模式和临界模式多机电力系统在某扰动场景下的轨迹失稳模式ＵＭ用最早到达其ＤＳＰ的领前群和摆次来表征，即｛Ｓｔ，Ｎｔ｝，它针对的是某个确定的多机受扰轨迹。而参数临界模式则与临界参数下的失稳轨迹相对应，因此隐含着不再指定参数的值...

Numerical integration can show accurate trajectory of the disturbed system,however,no quantitative answer to stability can be given.Lyapunov functions provide sole suficient but not necessary condition for autonomous systems stability,so that they are not suitable for quantitatively studying motion stability.For non-conservative or nonautonomous systems,it is very difficult to develop Lyapunov functions with meaningful stability domain,and the guarantee on suficient condition for stability might be lost by using Lyapunov-like functions.The Complementary-Cluster Energy-Barrier Criterion(CCEBC) developed in this paper is a rigorous theory and quantitative method for nonautonomous motion stability.Many relevant problems are studied in the paper.The Extended Equal-Area Criterion(EEAC)for power system transient stability,which has been used in engineering projects,is just such an example.