摘要
导致电力系统混沌出现的一种途径——环面分岔(TB, Torus Bifurcation)现象,属于一种较为复杂的动态分岔现象,是由于一对复共轭弗罗奎特因子(FM, Floquet Multipliers)从其庞加莱截面(Poincar?section)上的单位圆同时穿出造成的。由环面分岔导致的混沌现象具有许多奇特的现象,如系统运动沿封闭环面分布、存在进一步的分岔与自组织现象以及有序与混沌共存等。该文利用非线性动力系统分岔理论和方法,针对一个简单的电力系统模型,对电力系统CTC现象的产生机理、表现形式和存在特点进行了详细的分析,所得结论有助于对电力系统混沌和各种失稳现象本质的理解。
In this paper torus bifurcation (TB) and chaos caused by TB in a simple three-node power system is comprehensively studied. TB is one type of complicated dynamic bifurcation caused by a pair of complex conjugated floquet multipliers (FM) coming out of the unit circle on the Poincar?section. In previous studies on power system stability, chaos with torus characteristics (CTC) and TB have been given very little consideration. Our studies indicates that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and reconstruction, co-existence of regular and chaotic subspace, etc. All studies in this paper are helpful to the understanding of chaotic and instability phenomena in power systems.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第8期6-10,共5页
Proceedings of the CSEE
基金
国家重点基础研究专项经费项目(G1998020307)。~~
