基于解析方法电力系统的Hopf分岔类型

摘要

将中心流形理论分别与直接求周期解法和后继函数法相结合,研究电力系统的Hopf分岔类型.以经典的双机三节点模型为例,说明了理论分析结果与数值模拟结果一致,验证了所给方法的有效性.%We investigated the Hopf bifurcation type of power system by the combining the center manifold theory with the direct periodic solution method and the subsequent function method, respectively. The theoretical analysis result is consistent with the numerical simulation result based on the classical two-machine and three-bus model. Example shows that the proposed methods are valid.