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Boundary Element Solutions to the Eddy Current Problem

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Boundary Element Methods

Part of the book series: Boundary Elements ((BOUNDARY,volume 3))

Abstract

The two-dimensional eddy current problem is formulated in terms of an electric vector potential function. The resulting Helmholtz equation is transformed into a Fredholm Integral equation which involves the unknown vector potential and its normal derivative at the boundary. A set of simultaneous equations is found which approximates the integral. Results are compared to a finite element solution for a sample problem.

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References

  1. Carpenter, C.J. (1977) Comparison of Alternative Formulations of Three Dimensional Magnetic Field and Eddy Current Problems at Power Frequencies. Proceedings IEE, Vol. 124, No. 11.

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  2. Carpenter, C.J. (1975) Finite Element Models and Their Application to Eddy Current Problems. Proceedings IEE, Vol. 122, No. 4.

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  3. Chari, M.V.K. (1973) Finite Element Solution of the Eddy Current Problem in Magnetic Structures, IEEE Paper, T-73-320-9.

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  4. King, E.I. (1966) Equivalent Circuits for the Magnetic Field; 11-The Sinusoidally Time Varying Field. IEEE Transactions PAS-85 No. 9 pp 936-945.

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  5. Roberts, J. (1959) Analog Treatment of Eddy Current Problems Involving Two Dimensional Fields, IEEE, Lond. Monograph 341 M.

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  6. Salon, S.J. and Schneider, J.M. (1979) The Application of a Finite Element Formulation of the Electric Vector Potential to Eddy Current Losses, IEEE Paper A79-545-5.

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  7. Sato, T. and Sarto, S. (1977) Solution of Magnetic Field, Eddy Current and Circulating Current Problems, Taking Magnetic Saturation and Effect of Eddy Current and Circulating Current Paths into Account, IEEE Paper A-77-168-8.

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Author information

Authors and Affiliations

  1. Rensselaer Polytechnic Institute, USA

    S. J. Salon, J. M. Schneider & S. Uda

Authors
  1. S. J. Salon
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  2. J. M. Schneider
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  3. S. Uda
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Editor information

Editors and Affiliations

  1. Computational Mechanical Centre, 125 High Street, Southampton, England, SO1 0AA

    Carlos A. Brebbia

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© 1981 Springer-Verlag Berlin Heidelberg

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Salon, S.J., Schneider, J.M., Uda, S. (1981). Boundary Element Solutions to the Eddy Current Problem. In: Brebbia, C.A. (eds) Boundary Element Methods. Boundary Elements, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11270-0_2

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  • DOI: https://doi.org/10.1007/978-3-662-11270-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11272-4

  • Online ISBN: 978-3-662-11270-0

  • eBook Packages: Springer Book Archive

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