Losses scaling in soft magnetic materials

Abstract

Purpose -The paper presents an application of the scaling theory in a description of energy losses in soft magnetic materials in order to improve an agreement between measurements and theoretical models. Design/methodology/approach -The scaling theory allows the description of energy losses by a generalized homogenous function, which depends on scaling exponents a, b and amplitudes G (n) . The values of the scaling exponents and amplitudes were estimated on the basis of measurement data of total energy losses. Findings -The main findings of the paper are: the linear relationships between the scaling exponents a and b, the data collapse of energy losses and the scaling laws for asymptotic exponents of energy losses derivatives.Research limitations/implications -The origin of the data collapse and the relationship between the scaling exponents will be the subject of further research with the aid of renormalization group method Practical implications -The paper could be useful both for device designers and researchers involve in computational electromagnetism. Particularly, the data collapse allows a comparison of energy loss values measured in laboratories on different samples and by different methods. Originality/value -The application of the scaling theory in a description of energy losses in soft magnetic materials improves an agreement between measurement and theoretical models.

Formula for Energy Loss in Soft Magnetic Materials and Scaling

“…Recently, we have presented an approach to the energy loss in SMM basing on scaling theory [1]. The achieved agreement between experimental data and this theory suggests the extension of performed investigations into the following directions: criticism of the flaws of the current approach to the energy loss in SMM [2][3][4], discussion of the background of the scaling in SMM, confirmation of the scaling in SMM by the new measurements.…”

The modified procedures in coercivity scaling

“…Quality criteria of coercivity scaling given by the relationship (8) Structure of relationship (8) δ Av (%) The best sets of quality criteria of coercivity scaling were obtained for i = 2, but differences between their values were very small (especially for i = 2 and i = 1). Therefore, for the further considerations the relationship (8) (9) because the impact of the proposed simplification on the results of coercivity scaling is negligible. Moreover due to simpler structure of (9), it is easier to find analytically the inverse function with respect to H C , comparing to the case for i = 2 or 3.…”

“…The scaling behavior of coercivity in thin magnetic films and multilayers has been investigated e.g. in papers [7][8][9], however scaling exponents and factors were obtained from individual fitting to experimental data for different excitation parameters. Thereby, the scaling exponents and factors did not have universal values.…”

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

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

“…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].…”