Application of Fractional Scaling in Modelling of Magnetic Power Losses

Abstract

The paper presents a new approach to the Widom-based scaling procedure, in which additional fractional exponents were introduced into the Maclaurin series. The modied scaling procedure was proposed in order to obtain more universal descriptions in a form of the power law series with fractional exponents. The proposed procedure was examined for the power losses scaling of commercial grain-oriented electrical steel.

Scaling-Based Analysis and Modelling of Power Losses in Amorphous and Nanocrystalline Alloys

“…Thereby, it confirms that the power loss scaling was carried out correctly. The fractional exponent x is equal to 1.36 and 1.31 for the amorphous/nanocrystalline samples, whereas for samples with crystalline structures it is about 1.40 and 1.63, respectively for non-oriented and grain-oriented steels [15]. So, its value depends on a type of internal structure and geometry of the sample.…”

“…gave comparable results of power loss scaling [15]. The fractional scaling has been also applied in the analysis of power losses for La-containing magnetocaloric alloys [16], yielding promising results.…”

Fractional Scaling of Magnetic Coercivity in Electrical Steels

“…The fractional scaling procedure has been previously examined for power losses in electrical steels [18] and magnetocaloric alloys [19]. It was proved that the simplest scaling formula (a single power law) gave the scaling results comparable to the use of more complex formulae [18].…”

Scaling-based prediction of magnetic anisotropy in grain-oriented steels

“…The scaling analysis is also used in materials science, including the study of magnetic material properties such as power loss [30][31][32][33][34], coercivity [35][36][37], magnetic viscosity [38][39][40] or hysteresis loops [41][42][43][44][45].…”

“…In the previous studies, a scaling function was usually represented by Maclaurin series [30][31][32][33][34][35][36][37].…”