Calculation of the reversible part of the magnetization curves at any angle to the rolling direction for polycrystalline silicon steel

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Abstract
Polycrystalline Goss oriented electrical steel contains a distribution of grain orientations which has been shown, in previous work, to be characterized by one rms angle. Approximating the grains by long rods, theoretical single crystal reversible magnetization curves were averaged over the empirical grain directional distribution and the results compared with experimental curves above the knee where the magnetization is predominantly reversible. When the rms angle is chosen to give a best fit to the magnetization curve in the rolling direction, good fits are obtained for the family of magnetization curves at other angles to the rolling direction. The empirical relation between the induction at 10 Oe, B10, and rms angle is also reproduced. The methods described here may be used for electrical steel having any specified orientation.

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