摘要
在电力系统混沌特征研究中引进了一种全新的方法即拓扑不变量的分析思想。首次将拓扑不变量的概念应用于电力系统混沌特征分析之中,并利用Poincare截面绘制系统分叉图,抽取各周期轨道,提取倍周期分叉和混沌状态的拓扑不变量——局部交叉数、相对旋转率、链接数,进而研究系统敏感参数和初值的变化对拓扑不变量的影响。,它可作为动态系统状态检测和故障诊断的依据,从而为该领域的研究提供一条新思路,仿真计算证明了该方法的可行性和有效性。
It is a totally new method in the chaoscharacteristics?analysis of power system—to introducetopological invariants.The method of topological invariants are applied for analysis of chaos characteristics in power system at the first time. Using poincare mapping we draw the bifurcation graph, extract the period orbits and topological invariants—local crossing number, relative rotation rates and linkingnumber during the process of period-doubling bifurcation and chaos. We also study the effect on topological invariants when sensitive parameters and initial condition change. It can be regarded as the base of state detection and fault diagnosis in dynamical system so it is a new way in the field. The simulation results show that it is feasible and available.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第10期50-55,共6页
Proceedings of the CSEE
