This paper presents the solution of wave equations on transmission lines where leakage to ground on the line is very small. As a result of the leakages to ground on the transmission lines which are negligible, the conductance and the inductance, which are responsible for leakages on the line, are set to zero in the model of the general wave equation of the transmission line. The Laplace transform method was now applied to transform the resulting partial differential equation into ordinary differential equation and the method of variation of parameters was used to get the particular solution to the problem.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 3) |
| DOI | 10.11648/j.ajam.20150303.18 |
| Page(s) | 124-128 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Leakage to Ground, Initial Value Problem, Wave Equations, Transmission Lines
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APA Style
Michael Olufemi OKE. (2015). Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible. American Journal of Applied Mathematics, 3(3), 124-128. https://doi.org/10.11648/j.ajam.20150303.18
ACS Style
Michael Olufemi OKE. Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible. Am. J. Appl. Math. 2015, 3(3), 124-128. doi: 10.11648/j.ajam.20150303.18
AMA Style
Michael Olufemi OKE. Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible. Am J Appl Math. 2015;3(3):124-128. doi: 10.11648/j.ajam.20150303.18
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Download@article{10.11648/j.ajam.20150303.18,
author = {Michael Olufemi OKE},
title = {Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {3},
pages = {124-128},
doi = {10.11648/j.ajam.20150303.18},
url = {https://doi.org/10.11648/j.ajam.20150303.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150303.18},
abstract = {This paper presents the solution of wave equations on transmission lines where leakage to ground on the line is very small. As a result of the leakages to ground on the transmission lines which are negligible, the conductance and the inductance, which are responsible for leakages on the line, are set to zero in the model of the general wave equation of the transmission line. The Laplace transform method was now applied to transform the resulting partial differential equation into ordinary differential equation and the method of variation of parameters was used to get the particular solution to the problem.},
year = {2015}
}
TY - JOUR T1 - Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible AU - Michael Olufemi OKE Y1 - 2015/05/26 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150303.18 DO - 10.11648/j.ajam.20150303.18 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 124 EP - 128 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150303.18 AB - This paper presents the solution of wave equations on transmission lines where leakage to ground on the line is very small. As a result of the leakages to ground on the transmission lines which are negligible, the conductance and the inductance, which are responsible for leakages on the line, are set to zero in the model of the general wave equation of the transmission line. The Laplace transform method was now applied to transform the resulting partial differential equation into ordinary differential equation and the method of variation of parameters was used to get the particular solution to the problem. VL - 3 IS - 3 ER -
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