Publication detail

Proposed Hyperbolic NILT Method -- Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications

AL-ZUBAIDI R-SMITH, N. BRANČÍK, L.

Original Title

Proposed Hyperbolic NILT Method -- Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications

Type

journal article in Web of Science

Language

English

Original Abstract

Numerical inverse Laplace transform (NILT) methods are potential methods for time domain simulations, for instance the analysis of the transient phenomena in systems with lumped and/or distributed parameters. This paper proposes a numerical inverse Laplace transform method based originally on hyperbolic relations. The method is further enhanced by properly adapting several convergence acceleration techniques, namely, the epsilon algorithm of Wynn, the quotient-difference algorithm of Rutishauser and the Euler transform. The resulting accelerated models are compared as for their accuracy and computational efficiency. Moreover, an expansion to two dimensions is presented for the first time in the context of the accelerated hyperbolic NILT method, followed by the error analysis. The expansion is done by repeated application of one-dimensional partial numerical inverse Laplace transforms. A detailed static error analysis of the resulting 2D NILT is performed to prove the effectivness of the method. The work is followed by a practical application of the 2D NILT method to simulate voltage/current distributions along a transmission line. The method and application are programmed using the Matlab language.

Keywords

numerical inversion, Laplace transform, convergence acceleration techniques, partial inversion, transmission line

Authors

AL-ZUBAIDI R-SMITH, N.; BRANČÍK, L.

Released

1. 5. 2018

Publisher

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences

Location

Japan

ISBN

1745-1337

Periodical

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

Year of study

E101-A

Number

5

State

Japan

Pages from

763

Pages to

771

Pages count

9

URL

https://search.ieice.org/bin/summary.php?id=e101-a_5_763

BibTex

@article{BUT149371,
  author="Nawfal {Al-Zubaidi R-Smith} and Lubomír {Brančík}",
  title="Proposed Hyperbolic NILT Method -- Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications",
  journal="IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES",
  year="2018",
  volume="E101-A",
  number="5",
  pages="763--771",
  doi="10.1587/transfun.E101.A.763",
  issn="1745-1337",
  url="https://search.ieice.org/bin/summary.php?id=e101-a_5_763"
}