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)

（上接本刊１９９９年第１４期第３页）２４其他运动变量和代数变量的暂态安全性２４．１电力系统的暂态频率稳定性和电压安全性电力系统暂态安全性包括暂态功角稳定、暂态频率安全和暂态电压安全３方面。其中电力系统暂态电压（或频率）安全又包括暂态电压（或频率）稳定性和暂态电压（或频率）偏移可接受性２方面。从问题的数学描述来看，暂态频率稳定性是运动状态变量的稳定性；暂态电压稳定性是母线动态负荷运动状态变量的稳定性；暂态电压偏移和暂态频率偏移的可接受性是变量破坏对应的不等式约束问题。２４．２暂态电压安全性２４．２…

Quantitative Study of General Motion Stability (to be continued)

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.