Abstract：With the solution of Bessel function for equivalent circular cylinder conductor of rail, the current response of unit step voltage applied on rail was analyzed. Based on this solution, calculation method of skin effect in time domain with voltage step series was offered, and rail short-circuit model is build by S-Function with Matlab/Simulink. At last, this paper uses frequency calculation and short-circuits test to prove the validity of the calculation method.
喻乐, 和敬涵, 王小君, 薄志谦. 基于阶跃级数逼近法的城市轨道交通钢轨短路电流趋肤效应研究[J]. 电工技术学报, 2012, 27(4): 7-12.
Yu Le, He Jinghan, Wang Xiaojun, Bo Zhiqian. Research of Short-Circuit Skin Effect Current of DC Railway Based on Step Series Algorithm. Transactions of China Electrotechnical Society, 2012, 27(4): 7-12.
[1] 卫志农, 郑玉平, 何桦. 基于小波变换的地铁远方短路电流分析[J]. 电力系统及其自动化学报. 2003, 15(6): 5-8. Wei Zhinong, Zheng Yuping, He Hua. The analyzing of distant short-circuit fault current in rapid transit system s based on wavelet transform[J]. Proceedings of the CSU-EPSA, 2003, 15(6): 5-8. [2] Chang C S, Kumar S, Liu B, Khambadkone A, Real-time detection using wavelet transform and neural network of short-circuit faults within a train in DC transit systems[J]. IEE Procedings-Elects. Power Applications, 2001, 148(3): 251-256. [3] Yu L, He J H, Yip H T, et al. A new DC feeder protection based on wavelet transform[C]. Powertech, 2009 IEEE Bucharest, 2009． [4] 张秀峰, 苟绍波. 利用小波变换检测地铁馈线故障[J]. 西南交通大学学报, 2002, 27(5): 548-552. Zhang Xiufeng, Gou Shaobo. Fault detection of subway feed line by means of wavelet transform[J]. Journal of Southwest Jiaotong University, 2002, 27(5): 548-552. [5] 孔玮, 崔运海, 秦立军, 等. 直流牵引系统馈线微机保护装置[J]. 电力系统自动化, 2005, 29(1): 92-96. Kong Wei, Cui Yunhai, Qin Lijun, et al. Research and development of microcomputer-based feeder protection for dc traction power supply system[J]. Automation of Electric Power Systems, 2005, 29(1): 92-96. [6] 张勋, 李夏青. 直流牵引供电系统的建模以及参数分析[J]. 北京石油化工学院学报. 2009, 19 (1): 5-9. Zhang Xun, Li Xiaqing. Modeling and parameter analysis of DC traction power supply system[J]. Journal of Beijing Istitute of Petro-Chemical Technology, 2009, 19 (1): 5-9. [7] 张海波, 张颖. 直流牵引供电系统稳态短路分析[J]. 城市轨道交通研究, 2010(3): 60-65, 68. Zhang Haibo, Zhang Ying. Analysis of steady-state short-circuit in DC traction power supply system[J]. Urban Mass Transit, 2010(3): 60-65, 68. [8] 黄维军, 周密, 王滢. 直流牵引网稳态短路电流计算[J]. 电气化铁道, 2010(1):39-41. Huang Weijun, Zhou Mi, Wang Ying. DC traction net steady state short circuit current calculation[J]. Electric Railway, 2010(1): 39-41. [9] Brown J C, Allan J, Mellitt B. Calculation of remote short circuit fault currents for DC railways[J]. IEE Proceedings-B. I992, 139(4): 289-294. [10] Carslaw and Jaeger. Conduction of heat in solids[M]. 1st ed. London: Oxford University Press, 1947． [11] Edward J T, Thomas T H, Fullerton H P, Transient resistance of conductors[J]. IEEE Transactions on Power Apparatus and Systems, 1968, 87 (2): 455-462. [12] 孔玮. 城市轨道交通直流牵引系统故障分析及若干问题的研究[D]. 北京: 华北电力大学, 2005． [13] Hill R J, Carpenter D C. Modelling of nonlinear rail impedance in ac traction power systems[J]. IEEE Transactions on Power Delivery, 1991, 6(4): 1755- 1761. [14] Hill R J, Carpenter D C, Determination of rail internal impedance for electric railway traction system simulation[J]. IEE Proceedings-B 1991, 138 (6): 311- 321. [15] Giacoletto L J, Frequency-and-time-domain analysis of skin effects[J]. IEEE Transactions on Magnetics, 1996, 32(1): 220-229. [16] Silvester P, modal theory of skin effect in single and multiple turn coils[J]. IEEE Transactions on Power Apparatus and Systems, 1970, 89(1): 29-34. [17] Silvester P. AC resistance and reactance of isolated rectangular conductors[J]. IEEE Transactions on Power Apparatus and Systems, 1967, 86 (6):770-774. [18] Silvester P, The accurate calculations of skin effect in conductors of complicated shape[J]. IEEE Transactions on Power Apparatus and Systems, 1968, 87 (3): 735-741. [19] Yu L, He J H, Hu J, et al. Accurate track modeling for fault current on DC railways based on MATLAB/ Simulink[C]. IEEE Power and Energy Society General Meeting, 2010. [20] 诸葛向彬. 高频载流圆柱形导体的电阻计算[J].杭州大学学报, 1995(5): 74-77. Zhuge Xiangbing. The calculation of resistance of high frequency current cylinder conductor[J]. Journal of Hangzhou University, 1995(5): 74-77. [21] 崔运海. 直流牵引馈线微机保护装置的研制[D]. 北京：华北电力大学, 2005．
2012, Vol. 27 
