Publication detail

Comparison of some mathematical models for MTL transient and sensitivity analysis

BRANČÍK, L.

Original Title

Comparison of some mathematical models for MTL transient and sensitivity analysis

English Title

Comparison of some mathematical models for MTL transient and sensitivity analysis

Type

conference paper

Language

en

Original Abstract

The paper compares two basic approaches how to determine sensitivities of voltages and/or currents along multiconductor transmission lines (MTL). First continuous models are formulated in the (s,x) and (s,q) domains via one and two-dimensional Laplace transforms, respectively. Second a semidiscrete model is presented, based on the connection of generalized PI sections in cascade while processing its chain matrix in the Laplace domain. After incorporating boundary conditions by using generalized Thévenin equivalents of the MTL terminating networks the numerical inverse Laplace transforms (NILT) lead to the solutions in the time domain. Finally the error analysis is performed considering a Thomson cable with known analytical solutions, and some examples of MTL sensitivity determination are presented. All computations have been performed using the Matlab language.

English abstract

The paper compares two basic approaches how to determine sensitivities of voltages and/or currents along multiconductor transmission lines (MTL). First continuous models are formulated in the (s,x) and (s,q) domains via one and two-dimensional Laplace transforms, respectively. Second a semidiscrete model is presented, based on the connection of generalized PI sections in cascade while processing its chain matrix in the Laplace domain. After incorporating boundary conditions by using generalized Thévenin equivalents of the MTL terminating networks the numerical inverse Laplace transforms (NILT) lead to the solutions in the time domain. Finally the error analysis is performed considering a Thomson cable with known analytical solutions, and some examples of MTL sensitivity determination are presented. All computations have been performed using the Matlab language.

Keywords

multiconductor transmission line, continuous model, semidiscrete model, Laplace transform, sensitivity

RIV year

2009

Released

22.04.2009

Publisher

Brno University of Technology

Location

Bratislava

ISBN

978-80-214-3865-1

Book

Proceedings of the 19th International Conference Radioelektronika 2009

Pages from

27

Pages to

30

Pages count

4

BibTex

``````
@inproceedings{BUT34068,
author="Lubomír {Brančík}",
title="Comparison of some mathematical models for MTL transient and sensitivity analysis",
annote="The paper compares two basic approaches how to determine sensitivities of voltages and/or currents along multiconductor transmission lines (MTL). First continuous models are formulated in the (s,x) and (s,q) domains via one and two-dimensional Laplace transforms, respectively. Second a semidiscrete model is presented, based on the connection of generalized PI sections in cascade while processing its chain matrix in the Laplace domain. After incorporating boundary conditions by using generalized Thévenin equivalents of the MTL terminating networks the numerical inverse Laplace transforms (NILT) lead to the solutions in the time domain. Finally the error analysis is performed considering a Thomson cable with known analytical solutions, and some examples of MTL sensitivity determination are presented. All computations have been performed using the Matlab language.",