Time-harmonic and transient linear circuit analysis using finite element technique

Abstract

This paper proposes a new and non-traditional approach for time-harmonic and transient linear electrical circuit analysis. The numerical algorithm proposed in this paper is based on a finite element technique (FET). According to FET terminology, each branch of the electric circuit is treated as a single finite element with own local system of algebraic equations. Global system of equations is obtained by assembling local system of equations of each finite element according to FET procedure. In order to validate presented procedure, a MATLAB program was developed and applied for the transient linear circuit analysis on the linear electrical circuit example.

Slavko Vujević

Professor Emeritus

An expert in electrical engineering, particularly known for his contributions to numerical modeling of electromagnetic phenomena, lightning protection, and grounding. Throughout his career, he was a key member of the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split, where he taught, mentored students, and actively participated in scientific research and international professional organizations.

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.