一类电力系统的分岔和奇异性分析

王晓东;陈予恕

振动与冲击 ›› 2014, Vol. 33 ›› Issue (4) : 1-6.

PDF(1692 KB)
PDF(1692 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (4) : 1-6.
论文

一类电力系统的分岔和奇异性分析

  • 王晓东 , 陈予恕
作者信息 +

Bifurcation and Singularity Analysis for a Class of Power System

  • WANG Xiao-dong, CHEN Yu-shu
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文章历史 +

摘要

研究了单机无穷大系统在外部周期性激励负荷扰动作用下的非线性动力学行为:运用多尺度法分析了单机无穷大系统主共振的解析解及其稳定性,根据系统的分岔方程,运用C-L方法分析了主共振响应在不同系统参数下的不同分岔模式,研究表明该系统的不同分岔模式与其运行参数和结构参数有密切联系;数值仿真表明随着激励幅值的变化,该系统具有由倍周期分岔通往混沌直至增幅振荡失步的丰富动力学行为,从而为电力系统中同步发电机的同步运行、振荡失步提供理论指导。

Abstract

The nonlinear dynamics phenomena of a Single-Machine-Infinite Bus power system with periodical load disturbance were studied in this paper: the method of multiple scales was used to develop an approximate primary resonance solution; the stability of the periodic motion was analyzed. According to the bifurcation equation, different bifurcation models of primary resonance with different systematical parameters were presented directly by using C-L method, which shown that the occurrence of this phenomena are closely related to the operational parameters and structural parameters of the power system. The numerical simulation results show that with the amplitude of the excitation changing, this system possess rich dynamic behaviors characterized by period-doubling bifurcations, which are precursors to chaos and loss of synchronism. The results can provide theoretical guidance for the synchronous operation, oscillation and out-of-step of a synchronous generator.


关键词

单机无穷大电力系统 / 主共振 / 分岔 / C-L方法 / 奇异性分析

Key words

SMIB power system / primary resonance / bifurcation / C-L method / singularity analysis

引用本文

导出引用
王晓东;陈予恕. 一类电力系统的分岔和奇异性分析[J]. 振动与冲击, 2014, 33(4): 1-6
WANG Xiao-dong;CHEN Yu-shu. Bifurcation and Singularity Analysis for a Class of Power System[J]. Journal of Vibration and Shock, 2014, 33(4): 1-6

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