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铁磁谐振过电压混沌振荡的理论研究
引用本文:刘凡,孙才新,司马文霞,代姚,杨庆.铁磁谐振过电压混沌振荡的理论研究[J].电工技术学报,2006,21(2):103-107.
作者姓名:刘凡  孙才新  司马文霞  代姚  杨庆
作者单位:1. 重庆大学高电压与电工新技术教育部重点实验室,重庆,400044
2. 重庆大学高电压与电工新技术教育部重点实验室,重庆,400044;贵州省电网公司,贵阳,550000
摘    要:在中性点直接接地电力系统中,建立铁磁谐振过电压的数学模型,对该模型的异宿轨道进行计算,在此基础上运用Melnikov方法计算该系统的混沌阈值,即铁磁谐振过电压振荡发生的参数区域及混沌产生的条件,并深入探讨其周期解的存在性,为有效控制和消除过电压,抑制过电压中的混沌现象提供理论依据.

关 键 词:铁磁谐振过电压  混沌阈值  周期解
修稿时间:2005年6月23日

Theoretical Analysis of Chaotic Oscillation of Ferroresonance Overvoltage in Power Systems
Liu Fan,Sun Caixin,Sima Wenxia,Dai Yao,Yang Qing.Theoretical Analysis of Chaotic Oscillation of Ferroresonance Overvoltage in Power Systems[J].Transactions of China Electrotechnical Society,2006,21(2):103-107.
Authors:Liu Fan  Sun Caixin  Sima Wenxia  Dai Yao  Yang Qing
Affiliation:1. Chongqing University Chongqing 400044 China 2. Guizhou province power company Guiyang 550000 China
Abstract:In the neutral grounded power system, the mathematic model of ferroresonance overvoltage is built up, and the heteroclinic orbit is calculated. Based on Melnikov method, the chaos threshold value of the system is obtained, that is the parameter domain and the condition of exciting chaos. At last the existence of the periodic solution of the system is discussed. All of these will provide the theorem basis to control and restrain the chaos in overvoltage effectively.
Keywords:Ferroresonance overvoltage  chaos threshold value  periodic solution
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