摘要
１８．８ＳＥＥＡＣ的第２摆稳定性１８．８．１第２摆失稳的必要条件［６５］为了清晰描述又不失一般性，这里取一对互补群中初始加速度较大的一群作为Ｓ群，即只需要考虑具有以下特征的映象：Ｐｍ＞ＰｃＤ＋ＰｍａｘＤｓｉｎ（δ０－νＤ）（１６８）ＳＥＥＡＣ的映象系...
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.
出处
《电力系统自动化》
EI
CSCD
北大核心
1999年第8期1-5,共5页
Automation of Electric Power Systems
基金
国家自然科学基金
电力部联合资助
关键词
电力系统
稳定性
多刚体系统
非线性
nonlinear systems nonautonomous motion systems necessary and sufficient condition quantitative stability analysis power systems
