Abstract
The magnetic properties of highly grain-oriented electrical steel vary along different directions. In order to investigate these properties, standard Epstein samples were cut at different angles to the rolling direction. The hard magnetization direction was found at an angle of 60° to the rolling direction. To compare the measured and fitting curves, when the magnetic field intensity is higher than 7000 A/m, it is appropriate to simulate the relation of magnetic permeability and magnetization angle using the conventional elliptical model. When the magnetic field intensity is less than 3000 A/m, parabolic fitting models should be used; but when the magnetic field intensity is between 3000 and 7000 A/m, hybrid models with high accuracy, as proposed in this paper, should be applied. Piecewise relation models of magnetic permeability and magnetization angle are significant for improving the accuracy of electromagnetic engineering calculations of electrical steel, and these new models could be applied in further industrial applications.
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References
A.J. Moses, Energy efficient electrical steels: magnetic performance prediction and optimization, Scripta Mater., 67(2012), No. 6, p. 560.
Y.F. Fan, H. Yu, J. Sun, P. Tao, C.H. Song, and X. Zeng, Study on precipitation and transition mechanisms from the magnetic properties of silicon steel during annealing, Int. J. Miner. Metall. Mater., 21(2014), No. 4, p. 379.
H. Wang, C.S. Li, T. Zhu, B. Cai, G. Huo, and N. Mohamed, Effect of ball scribing on magnetic Barkhausen noise of grain-oriented electrical steel, J. Mater. Sci. Technol., 29(2013), No. 7, p. 673.
D.Y. Dong, C.S. Liu, S.Y. Chen, and B. Zhang, Characterization of Fe3Si-based coatings on low silicon steel by pulsed Nd:YAG laser cladding, Int. J. Miner. Metall. Mater., 16(2009), No. 2, p. 208.
H. Yamaguchi, H. Pfüzner, and A. Hasenzagl, Magnetostriction measurements on the multidirectional magnetization performance of SiFe steel, J. Magn. Magn. Mater., 320(2008), No. 20, p. e618.
K. Fujisaki and T. Tamaki, Three-dimensional polycrystal magnetic field analysis of thin steel, IEEE Trans. Magn., 45(2009), No. 2, p. 687.
H. Moradi and E. Afjei, Magnetic field analysis of a 9-6 without permanent magnet brushless DC motor by using 3-D finite element method, Electr. Eng., 96(2014), No. 1, p. 15.
Z. Cheng, N. Takahashi, B. Forghani, A.J. Moses, P.I. Anderson, Y. Fan, T. Liu, X. Wang, Z. Zhao, and L. Liu, Modeling of magnetic properties of GO electrical steel based on Epstein combination and loss data weighted processing, IEEE Trans. Magn., 50(2014), No. 1, p. 209.
J. Barros, J. Schneider, K. Verbeken, and Y. Houbaert, On the correlation between microstructure and magnetic losses in electrical steel, J. Magn. Magn. Mater., 320(2008), No. 20, p. 2490.
W. Mazgaj and A. Warzecha, Influence of electrical steel sheet textures on their magnetization curves, Arch. Electr. Eng., 62(2013), No. 3, p. 425.
I Gutierrez-Urrutia, A. Böttcher, L. Lahn, and D. Raabe, Microstructure-magnetic property relations in grain-oriented electrical steels: quantitative analysis of the sharpness of the Goss orientation, J. Mater. Sci., 49(2014), No. 1, p. 269.
B. Cassoret, S. Lopez, J.F. Brudny, and T. Belgrand, Non-segmented grain oriented steel in induction machines, Prog. Electromagn. Res. C, 47(2014), p. 1.
S. Ishikawa, T. Todaka, M. Enokizono, and C. Mauchi, Magnetic characteristic analysis and measurement of three-phase generator utilizing grain-oriented silicon steel sheets, Int. J. Appl. Electromagn. Mech., 33(2010), No. 1–2, p. 415.
A. Ktena, D. Davino, C. Visone, and E. Hristoforou, Stress dependent vector magnetic properties in electrical steel, Phys. B, 435(2014), No. 2, p. 25.
K. Chwastek, J. Szczygłowski, and W. Wilczyński, Modelling magnetic properties of high silicon steel, J. Magn. Magn. Mater., 322(2010), No. 7, p. 799.
N. Bernier, E. Leunis, C. Furtado, T.V. De Putte, and G. Ban, EBSD study of angular deviations from the Goss component in grain-oriented electrical steels, Micron, 54–55(2013), No. 11, p. 43.
V. Permiakov, L. Dupré, A. Pulnikov, and J. Melkebeek, 2D magnetization of grain-oriented 3%-Si steel under uniaxial stress, J. Magn. Magn. Mater., 290–291(2005), No. 2, p. 1495.
P. Handgruber, A. Stermecki, O. Biro, A. Belahcen, and E. Dlala, Three-dimensional eddy-current analysis in steel laminations of electrical machines as a contribution for improved iron loss modeling, IEEE Trans. Ind. Appl., 49(2013), No. 5, p. 2044.
W.X. Zheng and Z.G. Cheng, An inner-constrained separation technique for 3-D finite-element modeling of grain-oriented silicon steel laminations, IEEE Trans. Magn., 48(2012), No. 8, p. 2277.
P. Handgruber, A. Stermecki, O. Bíaró, and G. Ofner, Three-dimensional eddy current loss modeling in steel laminations of skewed induction machines, IEEE Trans. Magn., 49(2013), No. 5, p. 2033.
Z.G. Cheng, N. Takahashi, B. Forghani, G. Gilbert, J. Zhang, L. Liu, Y. Fan, X. Zhang, Y. Du, J. Wang, and C. Jiao, Analysis and measurements of iron loss and flux inside silicon steel laminations, IEEE Trans. Magn., 45(2009), No. 3, p. 1222.
H. Wang, C.S. Li, T. Zhu, N. Chukwuchekwa, B. Cai, and G. Huo, Effect of ball scribing on relative permeability of grain-oriented electrical steel, Acta Metall. Sin. Engl. Lett., 26(2013), No. 5, p. 618.
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Wang, H., Li, Cs. & Zhu, T. Hard magnetization direction and its relation with magnetic permeability of highly grain-oriented electrical steel. Int J Miner Metall Mater 21, 1077–1082 (2014). https://doi.org/10.1007/s12613-014-1012-8
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DOI: https://doi.org/10.1007/s12613-014-1012-8