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Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible
American Journal of Applied Mathematics
Volume 3, Issue 3, June 2015, Pages: 124-128
Received: May 3, 2015; Accepted: May 15, 2015; Published: May 26, 2015
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Author
Michael Olufemi OKE, Department of Mathematical Sciences, Ekiti State University, Ado, Ekiti, Nigeria
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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.
Keywords
Leakage to Ground, Initial Value Problem, Wave Equations, Transmission Lines
To cite this article
Michael Olufemi OKE, Solution of Wave Equations on Transmission Lines where Leakage to Ground on the Line is Negligible, American Journal of Applied Mathematics. Vol. 3, No. 3, 2015, pp. 124-128. doi: 10.11648/j.ajam.20150303.18
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