Three-dimensional polycrystal magnetic field analysis of thin steel

Keisuke Fujisaki, Teruyuki Tamaki

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The 3-D polycrystal magnetic field analysis method by means of coordinate transformation is proposed. The local coordinates are fixed in each crystal grain and the global coordinates are defined in the polycrystal steel. Though it is assumed that each crystal grain has the same magnetized characteristics as those of a single crystal grain, the crystal grain shape and its orientations of α, β, and γ angles are taken into account. When the proposed model is applied to the real grain oriented (GO) steel with 56 crystal grains in 80-mm×80-mm, and with 0.35-mm thickness, the calculation results are compared with the grain orientations measured by X-ray diffraction. The GO steel has a higher degree of (110)[001] texture with about 3% silicon. The calculated results of higher magnetic flux density part and lower magnetic flux density part in the real GO steel are explained by the α angle distribution. The calculated inclination angle distribution and the measured α angle distribution seem to be in good agreement. The calculated normal component of the magnetic flux density reflects the β angle distribution of the real GO steel. It is concluded that the proposed 3-D polycrystal magnetic field analysis is appropriate.

Original languageEnglish
Article number4782103
Pages (from-to)687-693
Number of pages7
JournalIEEE Transactions on Magnetics
Issue number2
Publication statusPublished - 2009 Feb
Externally publishedYes


  • Crystal grain shape
  • Finite-element method
  • GO material
  • Grain orientation
  • Magnetic field analysis
  • Polycrystal

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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