Analysis of Non-Uniform Transmission Lines with Different Distributed Parameters

Abstract

The perturbation method proves successful in approximating the analysis of non-uniform transmission lines, given that the amplitudes of the distributed parameters remain within a reasonable range. Furthermore, the research explores the most far-reaching generalization of this work, which involves considering non-linear dependencies of the distributed parameters on voltage and current histories, as well as non-uniform transmission lines with randomly fluctuating parameters. The modeling file associated with this research validates the parameters discussed in the analysis. The simulation results indicate a linear output frequency response from the beginning, signifying a stable output with minimal distortion. The perturbation technique offers a powerful tool to approximate the solutions of the coupled differential equations, enabling engineers to understand and design transmission lines more effectively. The findings presented in this thesis can be applied to various areas such as power systems, telecommunications, and signal transmission, where non-uniform transmission lines play a crucial role.