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基于相空间重构和Lyapunov指数电弧电流混沌特性分析 被引量:14

Chaotic characteristic analysis of arc current based on phase space reconstruction and Lyapunov exponent
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摘要 串联电弧故障是引发电气火灾的关键原因。为了得到可靠数据源及更全面地认识电弧电流信号特性,按照UL1699、GB14287.4标准搭建了实际用电环境电弧故障实验平台。依据实验结果,利用相空间重构算法将电弧电流信号引入高维空间进行分析,并做出了阻性、阻感性负载的三维相图。采用小数据量法计算了串联电弧电流信号的最大李雅普诺夫(Lyapunov)指数。综合分析三维相图和最大李雅普诺夫指数,证明了低压串联电弧电流信号存在混沌特征,有望通过电流的混沌特性找出新的电弧故障诊断方法。 Series arc fault is the key cause of electrical fire hazard. In order to obtain reliable data sources and a more comprehensive understanding of the characteristics of arc fault current, the experimental platform of actual e- lectricity environment arc fault is set up according to the UL1699 and GB14287.4 standards. Depending on the ex- perimental results, the arc current signal is introduced into the high dimensional space by using the phase space re- construction algorithm, and the three-dimensional phase diagram of the resistive and resistive-inductive load is con- structed. The maximum Lyapunov exponent of series arc current signal is calculated by using the small-data meth- od. Based on the comprehensive analysis of the three-dimensional phase diagram and the maximum Lyapunov expo- nent, it is proved that the chaotic characteristics exist in the low voltage series arc current signal, and it is expected to find out the new arc fault diagnosis method by the chaotic characteristics of the current.
作者 管红立 王博文 赵智忠 GUAN Hong-li WANG Bo-wen ZHAO Zhi-zhong(Key Laboratory of Electro-magnetic Field and Electrical Apparatus Reliability of I-Iebei Province, Hebei University of Technology, Tianjin 300130, China)
出处 《电工电能新技术》 CSCD 北大核心 2017年第3期35-40,共6页 Advanced Technology of Electrical Engineering and Energy
基金 国家自然科学基金项目(51171057) 河北省高等学校创新团队领军人才培养计划项目(LJRC003)
关键词 相空间重构 混沌 串联电弧 相图 最大李雅普诺夫指数 小数据量法 phase space reconstruction chaos series arc phase diagram maximum Lyapunov exponent small-data method
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