[1] Hill R J, Brillante S, Leonard P J. Railway track transmission line parameters from finite element field modelling: Shunt admittance[J]. IEE Proceedings-Electric Power Applications, 147, 227-238(2000).

[2] Dolara A, Leva S. Calculation of rail internal impedance by using finite elements methods and complex magnetic permeability[J]. International Journal of Vehicular Technology, 2009, 505246(2009).

[3] [3] Zhi Yongjian. Some theetical studies on pantographcatenary arc electromagic interference propagation[D]. Hangzhou: Zhejiang University, 2013

[4] [4] Zhu Bing. The modeling simulation of the primary parameter of track circuit[D]. Beijing: Beijing Jiaotong University, 2014

[5] Wang Zicheng, Guo Jin, Luo Rong, . Study on EMTP modeling and lightning overvoltage of track circuit[J]. Insulators and Surge Arresters, 152-158(2016).

[6] [6] Wang Dong. Primary parameter modeling simulation analysis of track circuit with ballastless track[D]. Lanzhou: Lanzhou Jiaotong University, 2020

[7] [7] Wu Mingli. Research on electrical parameters mathematical model of traction power supply system[D]. Beijing: Beijing Jiaotong University, 2006

[8] [8] Woodruff L F. Principles of electric power transmission[M]. 2nd ed. New Yk: John Wiley & Sons, Inc. , 1938.

[9] Dwight H B. Skin effect in tubular and flat conductors[J]. Transactions of the American Institute of Electrical Engineers, 37, 1379-1403(1918).

[10] [10] Peng Tao. The research of frequencydependent impedance in rail of traction power system[D]. Nanchang: East China Jiaotong University, 2017

[11] Xie Yanzhao, Wang Zanji, Wang Qunshu. Comparison of Agrawal and Taylor models for response calculations of aboveground cable excited by HEMP[J]. High Power Laser and Particle Beams, 17, 575-580(2005).

[12] Ye Zhihong, Wu Xiaolin, Li Yaoyao. Coupling analysis of transmission lines excited by space electromagnetic fields based on a time domain hybrid method using parallel technique[J]. Chinese Physics B, 29, 090701(2020).

[13] Liu Bei, Liu Qiang, Kan Yong, . Fast prediction algorithm for shielding effectiveness of double enclosures based on transmission line equavilent circuit method[J]. High Power Laser and Particle Beams, 27, 053203(2015).

[14] [14] Ge Debiao, Yan Yubo. Finitedifference timedomain method f electromagic waves[M]. 3rd ed. Xi''an: Xidian University Press, 2011

[15] Ye Zhihong, Liao Cheng, Wen Chuan. Time-domain coupling analysis of shielded cable on the ground excited by plane wave[J]. Progress in Electromagnetics Research M, 67, 45-53(2018).