Field – Circuit Coupling with the Time Domain Finite Difference Method for low Frequency Problems

  • Theodoros I. Kosmanis
Part of the Studies in Computational Intelligence book series (SCI, volume 119)


A combined field and circuit approach in time domain is presented in this paper for the realistic study of power frequency devices. The field analysis is performed by an explicit, conditionally stable, finite difference scheme that allows the whole procedure to take place in time domain avoiding large, sparse matrix inversions, a significant shortcoming of implicit methods. The circuit equations are also considered in time and are easily coupled to the field analysis technique via branch currents and conductor voltage drops. The preliminary results by corresponding 2-D problems reveal the algorithm’s ability to accurately model transient phenomena.


Finite Difference Method Voltage Drop Time Domain Finite Difference Diffusion Region Time Domain Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    K. Hamayer and R. Belmans, Numerical Modelling and Design of Electrical Machines and Devices, WIT Press, Bath, UK, 1999.Google Scholar
  2. 2.
    I. A. Tsukerman, A. Konrad, G. Meunier and J. C. Sabonnadiere, Coupled Field-Circuit Problems: Trends and Accomplishments, IEEE Trans. Magn., Vol. 29, pp. 1701–1704, 1993.CrossRefGoogle Scholar
  3. 3.
    I. Tsukerman, A Stability Paradox for Time-Stepping Schemes in Coupled Field-Circuit Problems, IEEE Trans. Magn., Vol. 31, pp. 1857–1860, 1995.CrossRefGoogle Scholar
  4. 4.
    J. Vaananen, Circuit Theoretical Approach to Couple Two-Dimensional Finite Element Models with External Circuit Equations, IEEE Trans. Magn., Vol. 32, pp. 400–410, 1996.CrossRefGoogle Scholar
  5. 5.
    T. V. Yioultsis, K. S. Charitou and C. S. Antonopoulos, The Finite-Difference Time-Domain Technique with Perfectly Matched Layers for Transient Nonlinear Eddy-Current Problems, IEEE Trans. Magn., Vol. 38, pp. 621–624, 2002.CrossRefGoogle Scholar
  6. 6.
    T. I. Kosmanis, T. V. Yioultsis and T. D. Tsiboukis, Computational Analysis of Power Frequency Devices by a Novel Hybrid Quasi-Static Finite Difference – FEM Technique, ICEM’06 (XVII International Conference on Electrical Machines), Chania, Greece, 2006, p. 507.Google Scholar
  7. 7.
    S. J. Salon, Finite Element Analysis of Electrical Machines, first ed., Kluwer, Boston, 1995, pp. 63–72.Google Scholar
  8. 8.
    A. Nicolet, F. Delince, N. Bamps, A. Genon and W. Legros, A Coupling Between Electric Circuits and 2D Magnetic Field Modeling, IEEE Trans. Magn., Vol. 29, pp. 1697–1700, 1993.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Theodoros I. Kosmanis
    • 1
  1. 1.Department of Mechanical and Industrial EngineersUniversity of Thessaly, Pedion AreosVolosGreece

Personalised recommendations