基于相空间重构和Lyapunov指数电弧电压混沌特性分析

Chaotic characteristic analysis of arc voltage based on phase space reconstruction and Lyapunov exponent

串联电弧故障是引发电气火灾的关键原因。为得到可靠数据源及更全面认识电弧电压特性,按照UL1699、GB 14287.4标准搭建了实际用电环境电弧故障模拟实验平台。依据实验结果,采用相空间重构算法将电弧电压信号引入高维空间进行分析,并给出其二维相平面;采用小数据量法计算了电弧电压的最大Lyapunov指数。选定相平面中相轨线的分布规律和最大Lyapunov指数为指示量,证明了低压串联电弧电压信号存在混沌特征。研究结果不仅丰富了电弧电压信号的特性,还为电弧模型设计和电弧式电气火灾监控探测器提供理论指导。

Series arc fault is the key cause of electrical fire.In order to obtain reliable data sources and a more comprehensive understanding of the characteristics of arc fault voltage , the experimental platform of actual electricity environment arc fault is set up according to the UL1699 and GB14287.4 standards.Depending on the experimental results , the arc voltage signal is introduced into the high dimensional space by using the phase space reconstruction algorithm , and the two-dimensional phase diagram of different load is made.Otherwise, the maximum Lyapunov exponent of series arc voltage signal is calculated by using the small-data method. Based on the comprehensive analysis of the phase trajectory distribution rules and the maximum Lyapunov exponent, the chaotic characteristic of fault arc voltage was proved.The research results not only enrich the characteristics of the arc voltage signal , but also provide theoretical guidance for design of arc model and electric fire monitoring detector.