Improved Algorithm for FET Analysis of Transient Linear Circuit Problems

Autor: Jurić-Grgić, Ivica, Mandić, Marin, Modrić, Tonći
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Popis: 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.
Databáze: OpenAIRE