电气化铁路轨道电路钢轨互阻抗计算研究  

Research on Calculation of Mutual Impedance of Rails in Electrified Railway Track Circuits

作　　者：赵斌[1] 贾智 王东 欧静宁 ZHAO Bin;JIA Zhi;WANG Dong;OU Jingning(School of Automation&Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学自动化与电气工程学院,甘肃兰州730070

出　　处：《铁道学报》2021年第8期54-61,共8页Journal of the China Railway Society

基　　金：国家自然科学基金(51967010)。

摘　　要：为了解决Carson公式求解钢轨互阻抗存在无穷上限积分和被积函数高频震荡的问题,提出采用截断法将无穷区间转换为有限积分区间,利用核函数分段线性逼近法求解被积函数,得到一种精度更高的互阻抗计算公式。建立轨道电路电磁场模型,运用有限元法对其进行验证分析。将本文算法计算结果、有限元仿真结果和Carson单项近似法计算结果进行比较,证明本文算法具有较高的精度,进一步研究了电流频率、土壤电阻率、轨道高度对其的影响。结果表明:本文算法不仅可以正确反映互阻抗随参数变化的规律,且计算结果与仿真结果的相对误差小于8%,证明了该计算方法的合理性和准确性,为轨道电路互阻抗的精确计算提供可靠的参考。In order to solve the problem that the infinite upper limit integral and high-frequency oscillation of the integrand function when the Carson formula solves the rail mutual impedance,the truncation method was used to convert infinite interval into a finite integral interval,and to solve the integrand function by using the nuclear function segmented linear approximation method,and to obtain a higher-precision mutual impedance calculation formula.The electromagnetic field model of the track circuit was established,and verified by the finite element method.Comparing the results of this paper,the results of finite element simulation and the calculation results of Carson’s single approximation method,this method has a high precision,and the effect of current frequency,soil resistivity and rail height on it was further studied.The results show that the calculation method in this paper can not only correctly reflect the law of the mutual impedance changing with parameters,but also the relative error between the calculation result and simulation result is less than 8%,which proves the rationality and accuracy of the calculation method,and provides a reliable reference for the accurate calculation of the mutual impedance of the track circuit.

关 键 词：钢轨互阻抗 Carson公式 核函数 截断法 有限元 

分 类 号：U284.21[交通运输工程—交通信息工程及控制]