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Research Article Open access CC BY 3.0

Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads

Vasil G. Angelov

Journal of Advances in Mathematics and Computer Science · pp. 352–389 · Published 15 May 2013

10.9734/BJMCS/2013/3622

Abstract

The paper analyses transmission lines terminated by nonlinear loads situated as follows: GC-loads are connected parallel and L-load is connected in series to them (Fig. 1). First, we formulate boundary conditions for a lossless transmission line system on the basis of Kirchhoff’s law. Then, we reduce the mixed problem for the system in question to initial value problem for a neutral system on the boundary. We introduce an operator in a suitable function space whose fixed point is a periodic solution of the neutral system. The obtained conditions are easily verifiable. We demonstrate the advantages of our method in Numerical example.

Lossless transmission line Mixed problem for hyperbolic system Neutral equation Periodic solution Fixed point theorem Kirchhoff’s law

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Cited by 2

Analysis of Lossy Transmission Lines Terminated by Schottky Diode Circuit

Vasil Georgiev Angelov · European Journal of Electrical Engineering and Computer Science · 2018

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