Transient Linear Circuit Analysis Using Finite Element Technique
Source abstract
Abstract
In this paper, a novel algorithm for a transient linear circuit analysis based on the Finite Element Technique (FET) was established. The FET procedure allows a straightforward solution for complex electric circuits since it is based on the Finite Element Method (FEM) approach. The developed algorithm allows us to select various 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 Heun’s and the generalized trapezoidal rule (ϑ-method) integration schemes 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. It was shown that using Heun’s method as the time integration scheme yields more accurate results than using the ϑ-method time integration scheme.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Silicon Carbide Semiconductor Technologies · Electromagnetic Simulation and Numerical Methods · Electromagnetic Compatibility and Noise Suppression
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, R. Boškovića 32, 21000 Split, Croatia
References (29)
Show source-provided references
1. Nagel, L.W. (1975). SPICE2: A Computer Program to Simulate Semiconductor Circuits. [Ph.D. Dissertation, University of California, Berkeley]. Tech. Rep. UCB/ERL M520.
2. Devgan, A., and Rohrer, R.A. (1993, January 7–11). Event driven adaptively controlled explicit simulation of integrated circuits. Proceedings of the International Conference on Computer-Aided Design, Santa Clara, CA, USA.
3. Dong, W., Li, P., and Ye, X. (2008, January 8–13). Wavepipe: Parallel transient simulation of analog and digital circuits on multi-core shared-memory machines. Proceedings of the Design Automation Conference, Anaheim, CA, USA.10.1145/1391469.1391531 ↗
4. Dong, W., and Li, P. (2009, January 26–31). Parallelizable stable explicit numerical integration for efficient circuit simulation. Proceedings of the Design Automation Conference, San Francisco, CA, USA.10.1145/1629911.1630012 ↗
5. Griffith, R., and Nakhla, M. (1997, January 9–13). A new high-order absolutely-stable explicit numerical integration algorithm for the time-domain simulation of nonlinear circuits. Proceedings of the International Conference on Computer-Aided Design, San Jose, CA, USA.10.1109/ICCAD.1997.643531 ↗
6. The waveform relaxation method for time-domain analysis of large scale integrated circuits10.1109/TCAD.1982.1270004 ↗
7. Peng, H., and Cheng, C.-K. (2009, January 20–24). Parallel transistor level full-chip circuit simulation. Proceedings of the Design, Automation & Test in Europe Conference, Nice, France.
8. Latency insertion method (LIM) for the FST transient simulation of large networks10.1109/81.903190 ↗
9. Sekine, T., and Asai, H. (2009, January 19–21). Generalized leapfrog scheme for large-scale circuit simulation. Proceedings of the IEEE Electrical Performance of Electronic Packaging and Systems, San Jose, CA, USA.10.1109/EPEPS.2009.5338473 ↗
10. Ye, X., Dong, W., Li, P., and Nassif, S. (2008, January 10–13). MAPS: Multi-algorithm parallel circuit simulation. Proceedings of the IEEE International Conference on Computer-Aided Design, San Jose, CA, USA.10.1109/ICCAD.2008.4681554 ↗
11. Zhu, Z., Shi, R., Cheng, C.-K., and Kuh, E.S. (2006, January 24–27). An unconditional stable general operator splitting method for transistor level transient analysis. Proceedings of the Asia and South Pacific Design Automation Conference, Yokohama, Japan.10.1145/1118299.1118403 ↗
12. Tischendorf, C. (1996). Solution of Index-2 Differential Algebraic Equations and Its Application in Circuit Simulation. [Ph.D. Thesis, Humboldt University].
13. Houben, S.H.M.J. (2003). Circuits in motion: The numerical simulation of electrical oscillators. [Ph.D. Thesis, Technische Universiteit Eindhoven].
14. Analysis and implementation of TR-BDF210.1016/0168-9274(95)00115-8 ↗
15. Swart, J.J.B. (1997). Parallel Software for Implicit Differential Equations. [Ph.D. Thesis, University of Amsterdam].
16. Günther, M., Rentrop, P., and Feldmann, U. (2001). CHORAL—A one step method as numerical low pass filter in electrical network analysis. Scientific Computing in Electrical Engineering, Springer.10.1007/978-3-642-56470-3_20 ↗
17. Bruin, S.M.A. (2001). Modified Extended BDF Applied to Circuit Equations. [M.S. Thesis, Vrije Universiteit Amsterdam]. Nat. Lab. Unclassified Report 2001/826.
18. Brugnano, L., and Trigiante, D. (1998). Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Breach Science Publishers.
19. Generalization of backward differentiation formulas for parallel computers10.1023/A:1021145932005 ↗
20. Zienkiewicz, O.C., and Taylor, R.L. (1989). The Finite Element Method, Volume 1: The Basis, McGraw-Hill. [4th ed.].
21. On the numerical solution of thermal shock problem for generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity10.1166/jctn.2014.3402 ↗
22. Li, C., Guo, H., He, T., and Tian, X. (2022). Thermally nonlinear non-Fourier piezoelectric thermoelasticity problems with temperature-dependent elastic constants and thermal conductivity and nonlinear finite element analysis. Waves Random Complex Media, 1–38.10.1080/17455030.2022.2075953 ↗
23. Finite element analysis of coupled phase-field and thermoelasticity equations at large strains for martensitic phase transformations based on implicit and explicit time discretization schemes10.1080/15376494.2020.1870780 ↗
24. Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction10.1016/j.cnsns.2008.04.006 ↗
25. The end part of cryogenic H. V. bushing insulation design in a 230/20 kV HTS transformer10.1016/j.cryogenics.2020.103090 ↗
26. Impact of the radius of double pancake windings on the electromagnetic Behavior of high temperature superconducting transformer10.1108/COMPEL-08-2021-0314 ↗
27. Time domain finite element method analysis of multi-conductor transmission lines10.1002/etep.366 ↗
28. Improving time integration scheme for FEM analysis of MTL problems10.1002/cta.2692 ↗
29. Chapra, S.C., and Canale, R.C. (2015). Numerical Methods for Engineers, McGraw-Hill. [7th ed.].