Skip to main content

Application of Finite Elements in Computing Permanent Magnet Fields

  • Chapter
  • 318 Accesses

Abstract

Magnetic fields of permanent magnets are complex and non-linear; and accurate computation requires highly sophisticated numerical methods. Unlike magnetic fields of currents, permanent magnetic fields are flux-dependent and computation of such fields involves highly unstable and oscillatory quantities. A mathematical model of permanent magnet has been developed and variational formulation using finite elements have been used to compute magnetic fields of permanent magnet machines. Use has been made of an apparent permeability of magnet which is less sensitive to changes in field variables. A direct method of solution with an optimized relaxation factor for the permeability was used for rapid and stable convergence

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. J. Bates, “A computational technique for the efficient handling of large matrices” IJNM, 7 (1973), 5–100.

    Google Scholar 

  2. K. J. Binns, W. R. Barnard and M. A. Jabbar, “Hybrid permanent magnet synchronous motors”, Proc. IEE, 3 (1978), 203–208

    Google Scholar 

  3. K. J. Binns and A. Kurdali, “Permanent magnet a.c. generator”, Proc. IEE, 7 (1979), 690–696.

    Google Scholar 

  4. K. J. Binns, M. A. Jabbar and W. R. Barnard, “Computation of the magnetic field of permanent magnets in iron cores”, Proc. IEE 12(1975), 1377–1381.

    Google Scholar 

  5. K. J. Binns, T. S. Low and M. A. Jabbar, “Behaviour of polymer-bounded rare-earth magnet under excitation in two directions at right angles”, Proc. IEE pt. B, 1 (1983).

    Google Scholar 

  6. K. J. Binns, M. A. Jabbar and W. R. Barnard, “A rapid method of computation of the magnetic field of permanent magnets”, IEEE Trans., MAG. 11 (1975), 1538–1540.

    Article  Google Scholar 

  7. P. C. Dunne, “complete polynomial displacement fields for finite element method”, J. Aeronaut, Soc. 72 (1968), 245.

    Google Scholar 

  8. W. J. Harrold, “Calculation of equipolentials and flux lines in axially symmetrical permanent magnet assemblies by computer”, IEEE Trans. MAG. 8 (1972), 23–29.

    Article  Google Scholar 

  9. E. R. Laithwaite, “Magnetic or electromagnetic — the great divide”, Electronics and Power, Aug. 1973.

    Google Scholar 

  10. V. C. Pao, “On computations involving stiffness matrices stored in rectangular form”, IJNM, 9 (1975), 250–251.

    Article  Google Scholar 

  11. P. Silvester, H. S. Cabayan and B. T. Browne, “Efficient techniques for finite element analysis of electric machines”, IEEE Trans. PAS, 92 (1973), 1274–1281.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer Basel AG

About this chapter

Cite this chapter

Jabbar, M.A. (1988). Application of Finite Elements in Computing Permanent Magnet Fields. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-6303-2_20

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2255-7

  • Online ISBN: 978-3-0348-6303-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics