架设高度对牵引网阻抗矩阵值的影响分析与计算  

Analysis and Calculation of the Effect of Erection Height on the Impedance Matrix of Traction Network

作　　者：魏祥 陈剑云 WEI Xiang;CHEN Jianyun(School of Electrical and Automation Engineering,East China Jiaotong University,Nanchang 330013 Jiangxi,China)

机构地区：[1]华东交通大学电气与自动化工程学院,南昌330013

出　　处：《铁道机车车辆》2022年第3期112-117,共6页Railway Locomotive & Car

基　　金：国家自然科学基金(51467004)。

摘　　要：牵引网阻抗矩阵值一般采用简化Carson公式计算,但该方法忽略了Carson级数解中与导线架设高度相关的高次项,从而忽略了导线架设高度对阻抗值的影响。文中拟以Carson级数公式中与高度无关的第一项作为基本值,把剩余的高次项作为修正值,分析和计算了牵引网架高对阻抗值的影响。以电气化铁路牵引网为实例,计算给出在不同土壤导电率情况下的阻抗-架高特性曲线和不同谐波频率下的阻抗-架高特性曲线。研究结果表明:在实际工程设计中,当牵引网中通过工频交流电时,架设高度对牵引网阻抗矩阵值造成的影响很小可以忽略的;当牵引网中含有谐波电流,且所含谐波的次数在7次以下时,架高对牵引网阻抗矩阵值的影响可以忽略;当所含谐波的次数在7~25次之间时,架设高度对阻抗矩阵中自阻抗值造成的影响仍可以忽略,但要考虑对互阻抗值造成的影响;当所含谐波的次数高于25次时,架高对牵引网阻抗值的影响较大,超出了实际工程误差允许的范围5%,其影响不可忽略。Traction network impedance matrix values generally adopts simplified Carson formula,but this method ignores the Carson series solution of higher order term associated with wire erection height,thus ignore the influence of wire erection height on impedance values.In this paper,the first term irrelevant to height in Carson series formula is taken as the basic value,and the remaining higher order term is taken as the modified value,to analyze and calculate the influence of traction grid height on impedance value.Taking electrified railway traction network as an example,the impedance-frame high characteristic curves under different ground and soil conductivity and the impedance-frame high characteristic curves under different frequencies are calculated.The results show that:in the actual engineering design,when the traction network through the power frequency AC,the erection height of the impedance matrix value of the traction network caused a small impact can be ignored;When the number of harmonics in the traction network is less than 7,the influence of the rack height on the impedance matrix value of the traction network can be ignored.When the number of harmonics is between 7 and 25,the effect of erection height on the self-impedance value in the impedance matrix can be ignored,but the effect on the mutual impedance value should be considered.When the number of harmonics is higher than 25,the influence of frame height on the impedance value of traction network is larger,exceeding the allowable range of actual engineering error 5%,and the influence cannot be ignored.

关 键 词：牵引网阻抗矩阵值 Carson级数公式 架设高度 谐波频率 土壤电阻率 

分 类 号：U221[交通运输工程—道路与铁道工程]