Modeling of nonuniform multiconductor transmission lines via wendroff method

  • Authors:
  • Lubomír Brančík;Břetislav Ševčík

  • Affiliations:
  • Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic;Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic

  • Venue:
  • MMES'10 Proceedings of the 2010 international conference on Mathematical models for engineering science
  • Year:
  • 2010

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Abstract

The paper deals with a technique of the time-domain modeling of nonuniform multiconductor transmission lines (MTL) based on an implicit Wendroff method. This technique falls into a class of the finite-difference time-domain (FDTD) methods useful to solve various electromagnetic systems. Its basic version is extended to enable solving both voltage and/or current distributions along the MTL's wires and their sensitivities with respect to lumped and distributed parameters. Experimental error analysis is performed based on the Thomson cable, a single transmission line with known analytical solutions. The examples of simulation of both uniform and nonuniform MTLs are shown and compared with other methods, first results for nonlinear MTLs are also presented. All computations were performed in the Matlab language environment while utilizing sparse matrix notations to enable effective and fast solution.