Haar Wavelet Scale Domain Method for Solving the Transient Response of Dispersive Transmission Lines with Nonlinear Loads
Summary :
A numerical technique based on Haar wavelets is used for solving transient problems of transmission lines. The approach of our method is to convert the original coupled partial differential equations, the transmission line equations or the telegrapher equations, to a system of ordinary matrix differential equations via Haar wavelets. Then, transient problems of transmission lines can be solved by matrix operations. Numerical examples of homogeneous and dispersive lines, along with both linear and nonlinear loads are verified. In addition, non-sinusoidal signals such as the unit step function and the rectangular pulse for digital applications are included to demonstrate the use of this efficient, easy-to-handle, stable, and versatile method.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E85-B No.3 pp.641-651
- Publication Date
- 2002/03/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Compatibility(EMC)
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I-Ting CHIANG, Shyh-Kang JENG, "Haar Wavelet Scale Domain Method for Solving the Transient Response of Dispersive Transmission Lines with Nonlinear Loads" in IEICE TRANSACTIONS on Communications,
vol. E85-B, no. 3, pp. 641-651, March 2002, doi: .
Abstract: A numerical technique based on Haar wavelets is used for solving transient problems of transmission lines. The approach of our method is to convert the original coupled partial differential equations, the transmission line equations or the telegrapher equations, to a system of ordinary matrix differential equations via Haar wavelets. Then, transient problems of transmission lines can be solved by matrix operations. Numerical examples of homogeneous and dispersive lines, along with both linear and nonlinear loads are verified. In addition, non-sinusoidal signals such as the unit step function and the rectangular pulse for digital applications are included to demonstrate the use of this efficient, easy-to-handle, stable, and versatile method.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e85-b_3_641/_p
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@ARTICLE{e85-b_3_641,
author={I-Ting CHIANG, Shyh-Kang JENG, },
journal={IEICE TRANSACTIONS on Communications},
title={Haar Wavelet Scale Domain Method for Solving the Transient Response of Dispersive Transmission Lines with Nonlinear Loads},
year={2002},
volume={E85-B},
number={3},
pages={641-651},
abstract={A numerical technique based on Haar wavelets is used for solving transient problems of transmission lines. The approach of our method is to convert the original coupled partial differential equations, the transmission line equations or the telegrapher equations, to a system of ordinary matrix differential equations via Haar wavelets. Then, transient problems of transmission lines can be solved by matrix operations. Numerical examples of homogeneous and dispersive lines, along with both linear and nonlinear loads are verified. In addition, non-sinusoidal signals such as the unit step function and the rectangular pulse for digital applications are included to demonstrate the use of this efficient, easy-to-handle, stable, and versatile method.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Haar Wavelet Scale Domain Method for Solving the Transient Response of Dispersive Transmission Lines with Nonlinear Loads
T2 - IEICE TRANSACTIONS on Communications
SP - 641
EP - 651
AU - I-Ting CHIANG
AU - Shyh-Kang JENG
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E85-B
IS - 3
JA - IEICE TRANSACTIONS on Communications
Y1 - March 2002
AB - A numerical technique based on Haar wavelets is used for solving transient problems of transmission lines. The approach of our method is to convert the original coupled partial differential equations, the transmission line equations or the telegrapher equations, to a system of ordinary matrix differential equations via Haar wavelets. Then, transient problems of transmission lines can be solved by matrix operations. Numerical examples of homogeneous and dispersive lines, along with both linear and nonlinear loads are verified. In addition, non-sinusoidal signals such as the unit step function and the rectangular pulse for digital applications are included to demonstrate the use of this efficient, easy-to-handle, stable, and versatile method.
ER -
English
