Comparison of Potential Dual Formulations Developed with Different Elements

  • N. Gasmi
  • S. Bouissou
  • F. Piriou

Abstract

To extend the field application of numerical simulation, it is necessary in many applications to consider the electric circuit. In 3D for the coupling between magnetic and electric circuit equations, the formulations in terms of potential are very attractive2,4,8. The electric formulation (A) can be used in many applications but it is necessary to determine three components. It may be noted that the necessity to impose a gauge condition permits to reduce the vector potential to two components if we use3,8 (U.w=0).

Keywords

Permeability Lime 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    T. Nakata, N. T. Fujiwara and Y. Okada, “Improvment of T-Ω method for 3D eddy current analysis”, I.E.E.E. Trans., vol. Mag. 24, pp 94–97, 1988.CrossRefGoogle Scholar
  2. [2]
    P. J. Leonard and D. Rodger, “Voltage forced coils for 3D finite-element electromagnetic models”, I.E.E.E. Trans, vol. Mag. 24, pp 2579–2581, 1988.CrossRefGoogle Scholar
  3. [3]
    R. Albanese, G. Rubinacci, “Magnetostatic field computations in terms of two components vector potentials”, International Journal for Numerical Method in Engineering, vol. 29, pp 515–532, 1990.MATHCrossRefGoogle Scholar
  4. [4]
    T. Nakata and K. Fujiwara, “ Recent progress in numerical analysis for electromagnettic devices”, I.E.E.E. Trans., vol. Mag. 27, pp 4221–4227, 1991.CrossRefGoogle Scholar
  5. [5]
    A. G. Kladas and J. A. Tegopoulos, “A new potential formulation for 3-D magnetostatics necessitating no source field calculation,” IEEE Transactions Magnetics, vol. 28, pp 1103–1106, March 1992.CrossRefGoogle Scholar
  6. [6]
    P. Dular, A. Genon, J.-Y. Hody, W. Legros, J. Mauthin, A. Nicolet, “Calculation of 3D eddy current using a coupling between edge elements, nodal finite element and boundary elements”, Int. Workshop on Electric and Magnetic Fields, Liège 28–30 September 1992.Google Scholar
  7. [7]
    S. Bouissou and F. Piriou, “Study of 3D dual formulation in potential for coupling magnetic and electric circuit equations”, Int. Workshop on Electric and Magnetic Fields, Liège 28–30 september 1992.Google Scholar
  8. [8]
    F. Piriou and A. Razek, “Finite element analysis in electromagnetic systems accounting for electric circuit”, IEEE Transactions Magnetics, vol. 29, pp 1669–1675, March 1993.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • N. Gasmi
    • 1
  • S. Bouissou
    • 2
  • F. Piriou
    • 1
  1. 1.Laboratoire de Génie Electrique de Paris E.S.E., U.R.A. 127 C.N.R.S.Universités de Paris VI et XI, Plateau du MoulonGif-sur-YvetteFrance
  2. 2.UNELECSaint-QuentinFrance

Personalised recommendations