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Magnetic field computation in hysteretic media by the finite element method, using the Preisach model

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2 Author(s)
Ostiguy, J.-F. ; Computational Analysis and Design Laboratory, Department of Electrical Engineering, McGill University, Montreal, Canada ; Silvester, P.P.

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The Preisach hysteresis model is implemented into the finite element method. It is demonstrated that this model is well suited to a scalar potential representation of the field, a fact that has not been fully appreciated so far. Although this clearly eliminates the possibility of dealing exactly with problems involving eddy currents in hysteretic subregions, the computation of the magnetic field when both hysteretic and nonmagnetic current‐carrying subregions are present simultaneously can be handled by adopting a hybrid formulation. This allows complete field solutions in reactor or transformer problems. Finally, it is shown how position‐dependent remanent magnetization can be dealt with in a straightforward manner, without the need to use both volume and surface elements simultaneously, and without any assumption on the order of the interpolation polynomials for the potential. The method is also applicable to permanent magnet problems for which an accurate representation of the spatial dependence of remanent magnetization is important.

Published in:

Journal of Applied Physics  (Volume:57 ,  Issue: 8 )

Date of Publication:

Apr 1985

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