Abstract
This paper presents a numerical model of transmission line equations based on a combination of the finite element method and the generalized method of characteristics. A local system of the transmission line finite element is obtained using the generalized method of characteristics applied to the Telegrapher’s equations. In this way, a spatial functional approximation using local shape functions together with the generalized trapezoidal rule used for time integration as it is done in the classical finite element formulation is avoided and higher accuracy of results is obtained. In order to show the essential principles of the proposed numerical method, for sake of simplicity, the scope of the paper is restricted to a single transmission line problem at the low frequency regime.
Rino Lucić
Full Professor
Dr. sc. Rino Lucić is a retired professor from the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split. Throughout his career, he taught courses at all study levels and actively participated in the realization of numerous scientific-research projects. As an author or co-author, he has published 41 scientific papers and 16 professional articles, with research interests spanning numerical modeling, transmission lines, finite element method, and power system transient analysis.
Ivica Jurić-Grgić
Full Professor | Department of Theoretical Electrical Engineering and Modelling
Researcher and full professor at the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split. His research focuses on numerical modeling of electromagnetic transients in power systems, with particular emphasis on the development of advanced numerical methods for analyzing electromagnetic transients in multi-conductor transmission lines. His work includes the application of finite element techniques for transient stability analysis of power systems, as well as the enhancement of models for harmonic and transient analysis of grounding systems.
Dino Lovrić
Associate Professor | Department of Theoretical Electrical Engineering and Modelling
Associate professor at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture in Split, with reserch focused on the development of numerical models of grounding systems in various types of soil, particularly in scenarios involving the dissipation of alternating current and transient currents caused by lightning strikes or switching overvoltages, also involved in developing models of dynamic and transient processes in power systems using modern numerical methods.