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

Nawfal AL-ZUBAIDI R-SMITH; Lubomír BRANČÍK

doi:10.1587/transfun.E101.A.763

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

Nawfal AL-ZUBAIDI R-SMITH, Lubomír BRANČÍK

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.5 pp.763-771

Publication Date: 2018/05/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E101.A.763

Type of Manuscript: PAPER

Category: Numerical Analysis and Optimization

Authors

Nawfal AL-ZUBAIDI R-SMITH
Brno University of Technology
Lubomír BRANČÍK
Brno University of Technology

Keyword

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

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Nawfal AL-ZUBAIDI R-SMITH, Lubomír BRANČÍK, "Proposed Hyperbolic NILT Method — Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications" in IEICE TRANSACTIONS on Fundamentals, vol. E101-A, no. 5, pp. 763-771, May 2018, doi: 10.1587/transfun.E101.A.763.
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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.763/_p

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@ARTICLE{e101-a_5_763,
author={Nawfal AL-ZUBAIDI R-SMITH, Lubomír BRANČÍK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Proposed Hyperbolic NILT Method — Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications},
year={2018},
volume={E101-A},
number={5},
pages={763-771},
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={},
doi={10.1587/transfun.E101.A.763},
ISSN={1745-1337},
month={May},}

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TY - JOUR
TI - Proposed Hyperbolic NILT Method — Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 763
EP - 771
AU - Nawfal AL-ZUBAIDI R-SMITH
AU - Lubomír BRANČÍK
PY - 2018
DO - 10.1587/transfun.E101.A.763
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2018
AB - 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.
ER -