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(续完)

QUANTITATIVE STUDY OF GENERAL MOTION STABILITY

２７ＥＥＡＣ的工业应用２７．１ＥＥＡＣ在交互性研究中的应用２７．１．１外部系统动态等值方面的研究文献［１３１］研究了用机电距离来反映各发电机受某故障扰动程度的方法，以便将受扰轻微的那些发电机用它们的惯量中心来等值。为了减少外部等值对仿真结果的影响，在...

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 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 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.