电气化铁路钢轨交流内阻抗计算  

Calculation of Alternating-current Impedance for the Rail of Electric Railway

作　　者：朱峰[1] 李嘉成[1] 李朋真 李鑫[1] 刘志刚[1] 

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》2017年第12期38-42,共5页Journal of the China Railway Society

基　　金：国家自然科学基金(U1434203)

摘　　要：为了确定钢轨交流内阻抗,将钢轨等效为实心圆柱体,并推导出内阻抗公式。针对在大参数下,以Kelvin函数表示的内阻抗公式的计算结果并不准确,通过对Kelvin函数作多项式近似,修正交流内阻抗计算公式,利用余弦函数和多项式对Bessel函数做近似,得到另一精度更高的公式,并使用有限元对钢轨进行仿真计算。结果表明,修正后的内阻抗计算公式正确地反映了交流电阻和内电感随参数变化的规律,而且有效解决了大参数问题,将修正后的计算结果同仿真计算结果与实验数据进行对比,误差小于10%,验证了修正公式的准确性。To determine the alternating-current（AC）impedance,the rail was equivalent to a solid cylinder and the impedance of rail was derived.For large parameters,the calculation,using the Kelvin functions,was inaccurate.The formula was corrected through an approximation of the Kelvin functions,and a new formula with higher accuracy was proposed,which used both cosine function and polynomial approximations to Bessel function.Finally,a simulation for rail was done by using finite element method（FEM）.Results showed that variation of AC resistance and internal inductance was correctly reflected by amended formula,and the problem of large parameters was effectively solved.Through the comparison with simulation and experimental data,it is found that the relative error was less than 10%,validating the correctness of the amended formula.

关 键 词：交流内阻抗 大参数 Kelvin函数 BESSEL函数 有限元 

分 类 号：U284.2[交通运输工程—交通信息工程及控制] TM922.31[交通运输工程—道路与铁道工程]