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
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References
C. J. Bates, “A computational technique for the efficient handling of large matrices” IJNM, 7 (1973), 5–100.
K. J. Binns, W. R. Barnard and M. A. Jabbar, “Hybrid permanent magnet synchronous motors”, Proc. IEE, 3 (1978), 203–208
K. J. Binns and A. Kurdali, “Permanent magnet a.c. generator”, Proc. IEE, 7 (1979), 690–696.
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.
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).
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.
P. C. Dunne, “complete polynomial displacement fields for finite element method”, J. Aeronaut, Soc. 72 (1968), 245.
W. J. Harrold, “Calculation of equipolentials and flux lines in axially symmetrical permanent magnet assemblies by computer”, IEEE Trans. MAG. 8 (1972), 23–29.
E. R. Laithwaite, “Magnetic or electromagnetic — the great divide”, Electronics and Power, Aug. 1973.
V. C. Pao, “On computations involving stiffness matrices stored in rectangular form”, IJNM, 9 (1975), 250–251.
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.
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© 1988 Springer Basel AG
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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
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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
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