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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F18%3APU128731" target="_blank" >RIV/00216305:26220/18:PU128731 - isvavai.cz</a>

Výsledek na webu

<a href="https://search.ieice.org/bin/summary.php?id=e101-a_5_763" target="_blank" >https://search.ieice.org/bin/summary.php?id=e101-a_5_763</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1587/transfun.E101.A.763" target="_blank" >10.1587/transfun.E101.A.763</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA15-18288S" target="_blank" >GA15-18288S: Výzkum integrity signálů u vysokorychlostních propojovacích struktur</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

ISSN

1745-1337

e-ISSN

—

Svazek periodika

E101-A

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

9

Strana od-do

763-771

Kód UT WoS článku

000431775000004

EID výsledku v databázi Scopus

2-s2.0-85046350235