灾变理论在多机电力系统暂态稳定分析中的应用

灾变理论作为分析非线性系统动态特性发生跃变的一种数学工具，已被用于电力系统静态稳定，暂态稳定和电压稳定分析，并已从单机应用扩展到了多机中的应用。本文在文献（２）（３）（４）（１１）（１２）的基础上提出了一种新的多机电力系统暂态稳定分析的灾变流形和算法，与传统的数值积分法相比具有简单，快速的特点；与Ｌｙａｐｕｎｏｖ直接法相有稳定域直观的特点，与文献（３）和（４）所提算法相比，分析结果更准确，实例计算

Transient Stability Analysis Using Catastrophe Theory in Multimachine Power Systems

As a mathematical tool of analyzing nonlinear systems in the case of the dynamic characteristic jumping, catastrophe theory has been used to assess the steady state stability,transient stability,and voltage stability in power systems,including simple power systems[1,2.11] and multimachine power systems[3,4,12,13]. On the basis of reference[2] [3] [4] [11][12],a new catastrophe manifold and algorithm is proposed for assessment of transient stability in multimachine power systems in this paper. Compared with the conventional numerical method soluton,the new algorithm is simple and fast compared with Lyapunov direct method,it can provide a more visual and convenient stability margin;compared with the algorithms proposed in reference[3] and [4],its assessment is more accurate. A numerical example demonstrates the conclusion stated above.