Analysis of nonlinear cell of transmission line model using Volterra series approach

Abstract

The paper deals with an unconventional approach to the analysis of nonlinear RLC cell serving as a basic building block of nonlinear transmission line (NLTL) models. The only nonlinear element is considered, capacitor C represented by a semiconductor varactor with an analytically defined capacitance-voltage relation. A method based on the use of Volterra series expansion of voltage responses is investigated, while efficient way of getting respective kernels utilizing Taylor series expansion is shown. Computer simulation results in Matlab are presented and compared with ODEs built-in solver.