Note on lossless transmission lines terminated by triode generator circuits

Abstract

This note is a preliminary announcement of results concerning lossless transmission lines terminated by a circuit equivalent to a triode generator. The circuit consists of L-load parallel to in series connected CR-loads. Using Kirchhoff’s law we formulate boundary conditions corresponding to nonlinear loads. Then we reduce the mixed problem for hyperbolic (Telegrapher) system to an 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 on Numerical example.