Improved Algorithm for FEM Analysis of MTL Problems

Abstract

This paper deals with improvement of time integration scheme for transient finite element method (FEM) analysis. FEM is applied to the system of hyperbolic differential equations i.e. system of multi-conductor transmission line (MTL) equations. Spatial integration of system of hyperbolic differential equations is usually done by the weighted residual method. Improvement of accuracy was obtained by using Heun’s method. Numerical solutions obtained using Heun’s method and using the generalized trapezoidal rule for different values of a time integration parameter ϑ are compared to analytical solution. It has been shown that Heun’s method yields the results with much higher accuracy comparing to results obtained by generalized trapezoidal rule (ϑ-method) with the approximately equal computational time.

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.

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.

Ivan Krolo

Assistant Professor | Department of Theoretical Electrical Engineering and Modelling

Researcher and assistant professor at the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split, with research focus on the development of numerical models for grounding systems and issues related to electrical safety in low-voltage and high-voltage systems.