基于分形理论的高速铁路高架桥接触网系统雷击率分布研究  

Study on Distribution of Lightning Stroke Rate for Lightning Striking to Catenary System with Viaduct of High-speed Railway Based on Fractal Theory

作　　者：曹保江[1] 陈力生 李瑞芳[1] 杨雪 陶鑫 CAO Baojiang;CHEN Lisheng;LI Ruifang;YANG Xue;TAO Xin(School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

机构地区：[1]西南交通大学电气工程学院,四川成都610031

出　　处：《铁道学报》2021年第1期77-84,共8页Journal of the China Railway Society

基　　金：国家自然科学基金(51507145)。

摘　　要：高速铁路高架桥接触网系统的雷击率分布可作为其防雷要点的重要参考依据。基于分形理论,考虑高架桥接触网系统引入的边界条件,以超松弛法进行差分迭代运算,建立接触网系统雷击分形模型,通过每次改变模型中的特定影响参数进行仿真,分析AF线及T线工作电压、高架桥高度、雷电流幅值和下行先导起始位置对雷击率的影响规律,结果表明:高架桥高度、雷电流幅值和下行先导起始位置均对接触网系统的雷击率有一定影响,即高架桥高度越高、雷电流幅值越大、下行先导起始位置距离接触网越近,接触网系统的雷击率越大,特别地,AF线在各影响因素下均能有效屏蔽T线和PW线。The distribution of lightning stroke rate for lightning striking to catenary system with viaduct of high-speed railway can be used as the important reference basis for the lightning protection points.Based on fractal theory,according to the boundary conditions that are actuality structure and electrical parameters of catenary system with viaduct of high speed railway,successive over-relaxation iteration method was employed to perform differential iterative operation.Further,a comprehensive fractal model for lightning striking to catenary system was established to carry out simulation by changing the specific influence parameters in the model and to achieve four relation curves between the lightning stroke rate and one of the four conditions that respectively are working voltage existence of both the AF feeder wire and trolley wire,various heights of viaduct,various amplitudes of lightning current and different inception positions of lightning downward leader.The results show that the height of viaduct,amplitude of lightning current,inception position have a certain influence on the lightning stroke rate.With the increment of height of viaduct,the increment of amplitude of lightning current and the decrease of distance between inception position and catenary system,the lightning stroke rate of the catenary system is higher.In particular,AF feeder wire can effectively shield both the trolley wire and protective wire against lightning stroke with anyone of those four influencing factors.

关 键 词：雷电分形理论 高速铁路 雷击率分布 影响因素 

分 类 号：U229[交通运输工程—道路与铁道工程]