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Mathematical modelling of active parameters for transmission line equations

Published online by Cambridge University Press:  26 September 2008

A. Kadish
A. Kadish
Affiliation:
SST-7, Space & Atmospheric Sciences, Los Alamos National Lab., Los Alamos, NM 87545, USA
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Abstract

The relationship between mathematical models of active parameters for transmission lines is studied. Treating transmission lines as a series of differential lumped circuits, we show that pairs of line parameters for inductance and capacitance per unit length must satisfy one of two constraints. One of these is a symmetry condition, which is satisfied by passive (i.e. constant) parameters. If a parameter pair satisfies either of these constraints, the energy per unit length and power loss in the line may be written as integrals of known functions, no matter what the pair's dependence on line current and voltage may be. Potential applications of these results to other subject areas are discussed.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 2 , June 1994 , pp. 243 - 253
Copyright
Copyright © Cambridge University Press 1994

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