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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
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摘要 (上接本刊1999年第1期第7页)14EAC在OMIB系统中的扩展14.1将EAC扩展到反向摆动的稳定分析如果Pm<PcP,而首摆(正向)稳定裕度又为很小的正数时,则第2摆(反向)可能失稳(见图69)。图69第2摆(反向)失稳Fig.69Thesec... Numerical integration can show accurate trajectory of the disturbed system. however.no quantitative answer to stability can be given. Lyapunov functions provide sole sufficientbut 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 rigoroustheory and quantitative method for nonautonomous motion stability. Many relevant problems arestudied 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.
作者 薛禹胜
出处 《电力系统自动化》 EI CSCD 北大核心 1999年第3期8-11,共4页 Automation of Electric Power Systems
基金 国家自然科学基金 电力部联合资助项目
关键词 电力系统 暂态稳定性 多刚体系统 非线性 nonlinear systems nonautonomous motion systems necessary and sufficient condition quantitative stability analysis power systems.
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