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Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method

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Original languageEnglish
Article number7002704
JournalIEEE Transactions on Magnetics
Issue number3
Early online date2015
Publication statusPublished - 2016
Publication typeA1 Journal article-refereed


Even non-oriented steel sheets present a magnetic anisotropic behavior. From rotational flux density measurements at 5 Hz, the model of magnetic anisotropy is derived from two surface Basis-cubic splines with the boundary conditions matching with ferromagnetic theory. Furthermore, the investigation of the magnetic anisotropy shows that the H(B) characteristic is not strictly
monotonous due to the angle difference between the field and the flux density. Hence, standard non-linear solvers would either diverge or converge towards the closest local minimum. Thus, we propose two different specific solvers: a combined Particle Swarm Optimization with a relaxed Newton-Raphson and a Modified Newton Method.


  • magnetic anisotropy, modified Newton method, Newton-Raphson, non-oriented steel sheet, particle swarm optimization, surface basis-cubic spline

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