Improved Algorithm for FET Analysis of Transient Linear Circuit Problems
Abstract
Most of the circuit simulators such as SPICE apply the backward differentiation formulae (BDF) integration method to the system of differential algebraic equations (DAEs) that is defined after applying the well-known modified nodal analysis (MNA) to the considered linear circuit/network. To provide a fast and accurate circuit/network analysis, many efforts have been made to improve integration algorithms. In general, time-domain circuit analysis demands solving a system of ordinary differential equations (ODEs), which represent the mathematical model and give transient behavior of the considered linear circuit/network. The aim of this paper was to establish a novel algorithm for a transient linear circuit analysis based on the Finite Element Technique (FET). The FET procedure is based on the Finite Element Method (FEM) approach and allows a straightforward solution for complex electric circuits. The developed algorithm enables selection of different types of time integration schemes when forming a local system of equations for a coupled circuit finite element. To illustrate the basic principle of the developed FET-based algorithm and to perform transient analysis, a random coupled linear circuit was analyzed. Numerical solutions obtained using FET procedure were compared to the solution obtained by Matlab Simulink software. It was shown that the accuracy of results depends on the employed time integration scheme when performing the FET procedure.
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.
Marin Mandić
Senior Assistant | Researcher | Department of Electrical Intallations and Systems
Researcher and Senior Assistant at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture in Split, with research focus on energy storage technologies and their optimization in market-driven power systems.
Tonći Modrić
Associate Professor | Department of Electrical Intallations and Systems
Researcher and Full Professor at the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split. His research focus is numerical modeling and calculation of the electric and magnetic fields in power systems and transmission lines, with an emphasis on the development of advanced models for interpreting geoelectrical ground survey data. Additionally, he is involved in the analysis of electromagnetic transients in systems with a high share of renewable energy sources, using finite element techniques.