基于分形理论的亚毫米间隙正负极性流注放电特性  

Discharge characteristics of positive and negative polarity streamers with submillimeter gap based on fractal theory

作　　者：邵茁凯 孙志[1] 刘坤 王宸 周盈旭 孙伟峰 Shao Zhuo-Kai;Sun Zhi;Liu Kun;Wang Chen;Zhou Ying-Xu;Sun Wei-Feng(Cultivation Base of State Key Laboratory of Dielectric Engineering,Institute of Electrical and Electronic Engineering,Harbin University of Science and Technology,Harbin 150080,China;School of Electrical&Electronic Engineering,Nanyang Technological University,Singapore 639798,Singapore)

机构地区：[1]哈尔滨理工大学电气与电子工程学院,电介质工程国家重点实验室培育基地,哈尔滨150080 [2]新加坡南洋理工大学电气与电子工程学院,新加坡639798

出　　处：《物理学报》2023年第19期143-153,共11页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51607048)资助的课题。

摘　　要：为研究亚毫米间隙下流注放电特性,本文搭建了大气压下100—500μm间隙下的正负极性流注放电实验系统以及图像采集系统,采集100—500μm间隙下正负极性流注放电的起始击穿电压与击穿图像并使用Matlab计算实验放电图像的分形维数.实验分析发现100—500μm间隙下的空气击穿放电依旧符合流注理论,且正、负极性流注的击穿电压与放电图像分形维数的极性效应明显,流注理论中空间电荷与光电离对放电通道曲折程度与覆盖范围的影响随着间隙增大而增大,且在300μm时发生跃变.使用Matlab基于分形理论的WZ(Wiesmann-Zeller)模型建立500μm间隙下正、负极性流注放电分形仿真,发现发展概率指数h与分形维数成反比,且同放电条件下放电发展概率指数h在正极性流注中相对于负极性流注要更小.In order to study the characteristics of streamer discharge in sub-millimeter gap,an experimental system and an image acquisition system of positive and negative polarity streamer discharge in the gap of 100−500μm at atmospheric pressure are built,and the initial breakdown voltages and breakdown images of positive and negative polarity streamer discharge in a gap range of 100−500μm are collected,and the fractal dimension of the experimental discharge images is calculated by Matlab.The experimental analysis shows that the air breakdown discharge in the gap range of 100−500μm still conforms to the stream theory,and the polarity effect between the breakdown voltage of positive and negative streamers and the fractal dimension of the discharge image is obvious.The influence of space charge and photoionization on the meandering degree and coverage of the discharge channel in stream theory increase with the increase of the gap,and jump at 300μm.The fractal simulation of positive and negative streamer discharge with a gap of 500μm is established by using WZ(Wiesmann-Zeller)model based on fractal theory in Matlab.It is found that the development probability index h is inversely proportional to the fractal dimension,and that the h is smaller in positive streamer than in negative streamer under the same discharge condition.

关 键 词：亚毫米间隙 流注理论 极性效应 分形维数 

分 类 号：O461.2[理学—电子物理学]