Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads
Journal of Advances in Mathematics and Computer Science · pp. 352–389 · Published 15 May 2013
10.9734/BJMCS/2013/3622Abstract
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.
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