【摘要】 分歧理论是研究非线性系统的一种有效的数学工具。介绍了分歧理论的基本概念和内容,并且针对单机无穷大系统,利用Hopf分歧理论,分析电力系统低频振荡中的非线性奇异现象,得到了与常规线性化分析不同的新结论,数值积分验证了该结论的正确性。更多还原

【Abstract】 Bifurcation theory is a useful mathematic method in studying nonlinear system. In this paper, general idea and theory of bifurcation is introduced, and nonlinear singular phenomenon in LFO (Low Frequency Oscillation) of a single-infinite power system is analyzed based on Hopf Bifurcation Theory. A new conclusion was reached which is different from that of a conventional linearization analysis, and it is validated by means of SBS (step by step) method.更多还原