Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads

This paper derives a multiresolution time-domain (MRTD) scheme for the multiconductor transmission line (MTL) equations based on Daubechies’ scaling functions. The terminations are characterized by a state-variable formulation which allows a general description of the termination networks. For the l...

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Main Authors: Zongliang Tong, Lei Sun, Ying Li, Luis Diaz Angulo, Salvador Gonzalez Garcia, Jianshu Luo
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/9845702
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spelling doaj-f81b8d8904514121997fdfc207fad4da2020-11-24T23:04:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/98457029845702Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear LoadsZongliang Tong0Lei Sun1Ying Li2Luis Diaz Angulo3Salvador Gonzalez Garcia4Jianshu Luo5College of Science, National University of Defense Technology, 137 Yanwachi Street, Changsha, Hunan 410073, ChinaCollege of Science, National University of Defense Technology, 137 Yanwachi Street, Changsha, Hunan 410073, ChinaCollege of Science, National University of Defense Technology, 137 Yanwachi Street, Changsha, Hunan 410073, ChinaDepartment of Electromagnetism and Matter Physics, University of Granada, Avda. Fuentenueva, s/n, 18071 Granada, SpainDepartment of Electromagnetism and Matter Physics, University of Granada, Avda. Fuentenueva, s/n, 18071 Granada, SpainCollege of Science, National University of Defense Technology, 137 Yanwachi Street, Changsha, Hunan 410073, ChinaThis paper derives a multiresolution time-domain (MRTD) scheme for the multiconductor transmission line (MTL) equations based on Daubechies’ scaling functions. The terminations are characterized by a state-variable formulation which allows a general description of the termination networks. For the linear load terminations, a method incorporating the terminal constraints is proposed to work out the scheme at and close to the terminations. The MRTD scheme is implemented with different basis functions for linear components including resistances, inductances, and capacitances. Numerical results show that the MRTD schemes obtain a more stable result than the conventional finite difference time-domain (FDTD) method with a coarse space step.http://dx.doi.org/10.1155/2017/9845702
collection DOAJ
language English
format Article
sources DOAJ
author Zongliang Tong
Lei Sun
Ying Li
Luis Diaz Angulo
Salvador Gonzalez Garcia
Jianshu Luo
spellingShingle Zongliang Tong
Lei Sun
Ying Li
Luis Diaz Angulo
Salvador Gonzalez Garcia
Jianshu Luo
Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
Mathematical Problems in Engineering
author_facet Zongliang Tong
Lei Sun
Ying Li
Luis Diaz Angulo
Salvador Gonzalez Garcia
Jianshu Luo
author_sort Zongliang Tong
title Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
title_short Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
title_full Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
title_fullStr Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
title_full_unstemmed Multiresolution Time-Domain Analysis of Multiconductor Transmission Lines Terminated in Linear Loads
title_sort multiresolution time-domain analysis of multiconductor transmission lines terminated in linear loads
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description This paper derives a multiresolution time-domain (MRTD) scheme for the multiconductor transmission line (MTL) equations based on Daubechies’ scaling functions. The terminations are characterized by a state-variable formulation which allows a general description of the termination networks. For the linear load terminations, a method incorporating the terminal constraints is proposed to work out the scheme at and close to the terminations. The MRTD scheme is implemented with different basis functions for linear components including resistances, inductances, and capacitances. Numerical results show that the MRTD schemes obtain a more stable result than the conventional finite difference time-domain (FDTD) method with a coarse space step.
url http://dx.doi.org/10.1155/2017/9845702
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