Publication detail

Multiconductor transmission lines sensitivity via two-dimensional Laplace transform

BRANČÍK, L.

Original Title

Multiconductor transmission lines sensitivity via two-dimensional Laplace transform

English Title

Multiconductor transmission lines sensitivity via two-dimensional Laplace transform

Type

conference paper

Language

en

Original Abstract

The paper deals with a non-traditional method for determination of sensitivities of voltage and/or current waves propagating down multiconductor transmission lines (MTLs). The main idea is to use a two-dimensional Laplace transform (2D-LT) to replace the originally partial differential equations describing the uniform MTLs in the (x,t)-domain with those of algebraic type in the (q,s)-domain. The 2D Laplace transform can be much easily treated as for the sensitivity with respect to the MTLs per-unit-length matrix parameters. After the (q,s)-domain sensitivity assessment the two-dimensional numerical inversion of Laplace transforms (2D-NILT) method is applied to get the sensitivities in the (x,t)-domain. Boundary conditions incorporation is performed by using modified nodal analysis (MNA) method in the s-domain when one-dimensional Laplace transform (1D-LT) is applied. All the computations have been programmed in the Matlab language.

English abstract

The paper deals with a non-traditional method for determination of sensitivities of voltage and/or current waves propagating down multiconductor transmission lines (MTLs). The main idea is to use a two-dimensional Laplace transform (2D-LT) to replace the originally partial differential equations describing the uniform MTLs in the (x,t)-domain with those of algebraic type in the (q,s)-domain. The 2D Laplace transform can be much easily treated as for the sensitivity with respect to the MTLs per-unit-length matrix parameters. After the (q,s)-domain sensitivity assessment the two-dimensional numerical inversion of Laplace transforms (2D-NILT) method is applied to get the sensitivities in the (x,t)-domain. Boundary conditions incorporation is performed by using modified nodal analysis (MNA) method in the s-domain when one-dimensional Laplace transform (1D-LT) is applied. All the computations have been programmed in the Matlab language.

Keywords

sensitivity, multiconductor transmission line, two-dimensional Laplace transform, modified nodal analysis, Matlab

RIV year

2006

Released

10.12.2006

Publisher

IEEE CAS

Location

Nice

ISBN

978-1-4244-0394-3

Book

13th IEEE International Conference on Electronics, Circuits and Systems

Pages from

17

Pages to

20

Pages count

4

BibTex


@inproceedings{BUT20372,
  author="Lubomír {Brančík}",
  title="Multiconductor transmission lines sensitivity via two-dimensional Laplace transform",
  annote="The paper deals with a non-traditional method for  determination of sensitivities of voltage and/or current waves  propagating down multiconductor transmission lines (MTLs). The main idea is to use a two-dimensional Laplace transform (2D-LT) to replace the originally partial differential equations describing the uniform MTLs in the (x,t)-domain with those of algebraic type in the (q,s)-domain. The 2D Laplace transform can be much easily treated as for the sensitivity with respect to the MTLs per-unit-length matrix parameters. After the (q,s)-domain sensitivity assessment the two-dimensional numerical inversion of Laplace transforms (2D-NILT) method is applied to get the sensitivities in the (x,t)-domain. Boundary conditions incorporation is performed by using modified nodal analysis (MNA) method in the s-domain when one-dimensional Laplace transform (1D-LT) is applied. All the computations have been programmed in the Matlab language.",
  address="IEEE CAS",
  booktitle="13th IEEE International Conference on Electronics, Circuits and Systems",
  chapter="20372",
  institution="IEEE CAS",
  year="2006",
  month="december",
  pages="17",
  publisher="IEEE CAS",
  type="conference paper"
}