电工技术学报2016，Vol.31Issue(24)：88-95,8.
基于分形理论的SF6/N2混合气体放电仿真
Simulation of Discharge in SF6/N2 Gas Mixtures Based on Fractal Theory
摘要
Abstract
In this paper, the model of dielectric breakdown in SF6/N2 mixed gas is simulated by using the Matlab programs. This rod-plane model is established considering the distribution of space charge and introducing physical time, based on the fractal theory. The finite element method (FEM) is used to solve the electric field, and particle continuity equations are solved by the flux corrected transport (FCT) algorithm. Moreover, the characteristics of fractal discharge under various scenarios are analyzed, such as different probability exponents, different discharge thresholds, and different percentages of SF6 and so on. The simulation results show that the number of branches and fractal dimension decrease with the increasing of probability exponent and the percentage of SF6. The discharge fractal dimension D of 50%/50% SF6/N2 gas mixture equals to 1.219 2, and the average velocity during the discharge process of streamer propagation is 1.15Mm/s. Moreover, the distributions of charge density in space, electric field alone the axis, and electrons density alone the axis are calculated.关键词
放电/分形维数/SF6/N2混合气体/有限元方法/通量校正传输法/概率指数Key words
Discharge/fractal dimension/SF6/N2 mixed gas/finite element method/flux corrected transport/probability exponent分类
信息技术与安全科学引用本文复制引用
李敏,汪沨,许松枝,陈晓林,黄墀志,谢望君..基于分形理论的SF6/N2混合气体放电仿真[J].电工技术学报,2016,31(24):88-95,8.基金项目
教育部新世纪优秀人才支持计划基金（NCET-11-0130）和高等学校博士学科点专项科研基金（20120161110009）资助项目。 （）
