Analysis of a 3-Conductor Transmission Line with Nonlinear Resistive Loads

This paper analyzes the electromagnetic compatibility characteristics of lossless transmission lines terminated by nonlinear loads suggested by C. Paul. The nonlinearities of the resistive loads are of polynomial type. We examine the mutual interaction between the two lines without neglecting the impact of the receptor line, which enables a more general mathematical model contrasted to the C. Paul model. We articulate a mixed problem for a system corresponding to 3-conductor transmission line. After that the hyperbolic system is transformed to a diagonal form and it is reduced to an initial value problem on the boundary. We obtained a system of two functional equations and two neutral equations for four unknown functions.