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

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

Článek recenzovaný mimo WoS a Scopus

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.

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.

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

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

AL-ZUBAIDI R-SMITH, N.; BRANČÍK, L.

2017

29.02.2016

Brno University of Technology

Brno, Czech Republic

1213-1539

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

18

1

Česká republika

1

8

7

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