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A. J. Moses Importance of rotational losses in rotating machines and transformers, J. Mat. Eng. Performance, 1 (2): 236–244, 1992. 12. Y. Alinejad-Beromi A. J. Moses T. Meydan New aspects of rotating ﬁeld and ﬂux measurement in electrical steel, J. Magn. Mag. , 112: 135–138, 1992. 13. A. J. Moses Effect of stresses on magnetic properties of siliconiron laminations. J. Mat. , 9: 217–222, 1974. 14. A. J. Moses P. S. Phillips Some effect of stress in Goss-oriented silicon iron, IEEE Trans. , 14: 353–355, 1978.
When used in a core the magnetization conditions are very complex. Nonuniform ﬂux, ﬂux harmonics, rotational and normal ﬂux, ﬂux deviation from the rolling direction of the sheet, and the inﬂuence of temperature and mechanical stress variations all cause additional losses. The deterioration of performance in a core is quantiﬁed in terms of the building or destruction factor which is deﬁned simply as the ratio of the per unit core loss of a device to the nominal per unit loss measured under ideal test conditions at the same ﬂux density.
Tational loss into hysteresis, eddy current, and anomalous loss components as is normally carried out for unidirectional ac magnetization but the total loss can be obtained from Pr = 1 T T hx 0 dbx dby + hy dt dt dt (9) where hx and hy are instantaneous tangential surface ﬁeld components in orthogonal directions. dbx /dt and dby /dt are the rates of change of corresponding ﬂux density components. Experimentally the components in Eq. (9) can be obtained using sensors (12). The rotational ﬁeld variation needed to produce pure rotational ﬂux density is complex in grain-oriented material as shown in Fig.