吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (4): 1031-1036.doi: 10.13229/j.cnki.jdxbgxb201404020

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Application of first-order upwind difference scheme based on flux splitting method in transmission line analysis

GAO Yin-han1, WANG Tian-hao1, YANG Kai-yu1, ZHANG Jun-dong1, JIN Yu2, ZHAO Jing-yuan1   

  1. 1.State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China;
    2.College of Instrumentation and Electrical Engineering, Jilin University, Changchun 130061, China
  • Received:2013-10-24 Online:2014-07-01 Published:2014-07-01

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Abstract: Multi-conductor transmission line equations belong to the first order hyperbolic partial differential equations, which are converted into first-order linear constant coefficient equations by means of the first-order partial differential equations. It applies the characteristic line of the partial differential equations to construct its first-order upwind scheme, conducts a flux splitting of the coefficient matrix of the linear equations and combines the boundary conditions of resistive load to calculate the transient response of the transmission line. Finally, by simulation, the calculation results of this work are compared with that of the traditional PDTD format and Lax-Wendroff format with second order accuracy. It is demonstrated that the proposed calculation method overcomes the non-physical oscillation of traditional PDTD format and Lax-Wndroff format at the discontinuous solutions. At the same time the new method has the characteristics of simple and stable, wide range of application and similar efficiency to those two calculation methods.

Key words: technology of instrument and meter, flux splitting method, first-order upwind difference scheme, transmission line equations, numerical solution

CLC Number: 

  • TH89
[1] Gao Yin-han, Wang Tian-hao, Yang Kai-yu, et al. Improvement of the best and the worst case method on the automobile cable bundles dynamic crosstalk based on the statistical model[J]. Journal of Applied Sciences, 2013, 13(16):3330-3334.
[2] 高印寒, 王瑞宝, 李碧若, 等. 汽车线束电感性串扰动态变化的预测[J]. 光学精密工程, 2011, 19(5):1088-1094. Gao Yin-han, Wang Rui-bao, Li Bi-ruo, et al. Prediction of variation of inductive crosstalk in automotive cable bundles[J]. Optics and Precision Engineering, 2011, 19(5):1088-1094.
[3] 高印寒, 王瑞宝, 马玉刚, 等. 汽车线束导线间寄生电容及串扰的解析预测模型[J]. 吉林大学学报:工学版, 2011, 41(Sup.1) :144-149. Gao Yin-han, Wang Rui-bao, Ma Yu-gang, et al. Analytical prediction of parasitic capacitance and crosstalk in automotive cable bundles[J]. Journal of Jilin University(Engineering and Technology Edition), 2011, 41(Sup.1):144-149.
[4] Clayton R Paul. Analysis of Multiconductor Transmission Lines[M]. 2nd ed. New York:John Wiley&Sons Press, 2008.
[5] 郭裕顺. 传输线瞬态分析中基于电报方程时空离散的有效方法[J]. 电子学报, 2001, 29(3):373-377. Guo Yu-shun. An efficient transient analysis method for general transmission lines based on the time-space discretization of telegrapher equations[J]. Acta Electronica Sinica, 2001, 29(3):373-377.
[6] 郑生富. 传输线方程的一种时域有限差分解法[J]. 重庆文理学院学报:自然科学版, 2007(2):22-25. Zheng Sheng-fu. Solution of transmission line equation with the finite difference-time domain method[J]. Journal of Chongqing University of Arts and Sciences(Natural Science Edition), 2007(2):22-25.
[7] 窦磊, 王执铨. Lax-Wendroff 差分法在高速互联线分析中的应用[J]. 信息与控制, 2005(6):724-728. Dou Lei, Wang Zhi-quan. Application of Lax-Wendroff difference method to the analysis of high-speed interconnect transmission lines[J]. Information and Control, 2005(6):724-728.
[8] 张希, 刘宗行, 孙韬. 传输线方程的一种数值解[J]. 重庆大学学报:自然科学版, 2004(2):116-119. Zhang Xi, Liu Zong-hang, Sun Tao. A numerical method for transmission line equations[J]. Journal of Chongqing University(Natural Science Edition), 2004(2):116-119.
[9] 黄俊彦, 刘永强, 马士超, 等. 基于Upwind差分格式的电缆故障测距仿真系统[J]. 光纤与电缆及其应用技术, 2010(3):22-26. Huang Jun-yan, Liu Yong-qiang, Ma Shi-chao, et al. Simulation system for cable fault location based on Upwind difference scheme[J]. Optical Fiber & Electric Cable, 2010(3):22-26.
[10] Steger J L, Warming R F. Flux vector splitting of the invicid gasdynamic equations with applications to finite-difference methods[J]. Journal of Computational Physics, 1981, 40(2):263-293.
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