摘要
借助于一个简单的电力系统模型,利用非线性动力系统的基本理论,给出电力系统中导致混沌出现的原因;结合梅利尼科夫(Melnikov)函数的计算方法,给出电力系统中混沌现象出现的临界条件和参数区域。仿真结果表明,在受到较大周期性扰动时,系统将出现混沌振荡;在周期性负荷扰动较小甚至为0时,系统不会出现混沌振荡;在系统其他参数(如电磁功率)发生变化时,系统也会进入混沌状态。这种现象的出现和电力系统非线性模型的几何结构密切相关,同时也与电力系统运行参数、结构参数有联系。深入分析、研究这种现象的表现形式,全面把握系统物理特性,从而弄清楚混沌的产生机制、引发条件,将有利于对它在电力系统中的控制、利用和预防。
The reasons of chaos in the power system have been investigated employing the theory of nonlinear dynamic systems based on a simple power system model. The critical conditions and parameter region in which chaos occurs have been worked out using the Melnikov function calculation method. The simulation results show that the chaotic oscillation will occur when the power system is disturbed by a comparatively large periodic load disturbance, i＇he chaotic oscillation will not happen when the periodic load disturbance is smaller and even the value is zero, and the system will also be in the chaotic state when other parameters of the system （such as electromagnetic power） are changing. The occurrence of this phenomenon is closely related to the geometrical configurations of the non-linear model, as well as the operational parameters and structural parameters of the power system. Manifestations of the phenomenon are analyzed and the physical characteristics of the system are obtained, so as to make clear the generating mechanism and initiating conditions of chaos, which will be helpful for its control, utilization and prevention in the power system.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第19期58-63,共6页
Proceedings of the CSEE
关键词
电力系统
混沌
非线性动力系统
扰动
混沌振荡
power system
chaos
nonlinear dynamic system
perturbation
chaotic oscillation
