Publication detail

Comparative study on One-Dimensional Numerical Inverse Laplace Transform Methods for Electrical Engineering

AL-ZUBAIDI R-SMITH, N. BRANČÍK, L.

Original Title

Comparative study on One-Dimensional Numerical Inverse Laplace Transform Methods for Electrical Engineering

Type

journal article - other

Language

English

Original Abstract

In various engineering and science problems we are often confronted with the need to apply the Laplace transform to simplify the problem and get our solution, however in many cases when solving differential equations, systems with lumped parameters or more generally to process rational, irrational or transcendental functions, the need to use numerical inverse Laplace transforms arise, mainly due to the difficult analytic inversions back to the real time domain. In this paper a review of some numerical methods are listed and compared together with functions that are typically used in engineering and telecommunications in order to evaluate these different methods based on their performance, accuracy, stability and computational speed, with the motivation to find a relatively suitable and universal 1D NILT method. These results are helpful to decide which of the methods are more likely to be considered for further development into higher dimensions, to solve systems with more than one variable.

Keywords

numerical transform inversion; Laplace transform; numerical accuracy and efficiency; accelerated convergence; signal integrity; test function

Authors

AL-ZUBAIDI R-SMITH, N.; BRANČÍK, L.

Released

29. 2. 2016

Publisher

Brno University of Technology

Location

Brno, Czech Republic

ISBN

1213-1539

Periodical

Elektrorevue - Internetový časopis (http://www.elektrorevue.cz)

Year of study

18

Number

1

State

Czech Republic

Pages from

1

Pages to

8

Pages count

7

URL

http://www.elektrorevue.cz/cz/clanky/teoreticka-elektrotechnika/0/comparative-study-on-one-dimensional-numerical-inverse-laplace-transform-methods-for-electrical-engineering/

BibTex

@article{BUT124311,
  author="Nawfal {Al-Zubaidi R-Smith} and Lubomír {Brančík}",
  title="Comparative study on One-Dimensional Numerical Inverse Laplace Transform Methods for Electrical Engineering",
  journal="Elektrorevue - Internetový časopis (http://www.elektrorevue.cz)",
  year="2016",
  volume="18",
  number="1",
  pages="1--8",
  issn="1213-1539",
  url="http://www.elektrorevue.cz/cz/clanky/teoreticka-elektrotechnika/0/comparative-study-on-one-dimensional-numerical-inverse-laplace-transform-methods-for-electrical-engineering/"
}