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
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