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

２１轨迹主导模式的识别及其变化机理２１．１受扰轨迹主导模式的特征对多机电力系统的受扰轨迹，可以逐个时间断面地用ＣＣＣＯＩ—ＲＭ变换聚合为一系列等值ＯＭＩＢ映象轨迹。每个Ｒ１映象对应于一种互补划分方式，每个映象上的轨迹被其上的ＦＥＰ分为不同摆次。不论是...

Numerical integration can show accurate trajectory of the disturbed system, however, no quantitative answer to stability can be given. Lyapunov functions provide sole sufficient but not necessary condition for autonomous systems stability, so that they ate 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 sufficient 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.