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.

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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.

The paper presents an application of the fractional scaling procedure in the analysis of magnetic coercivity. The frequency and excitation dependences of measured coercivity can be expressed in a single curve using properly scaled coercivity and frequency values. The scaling parameters will be presented for three different electrical steels.

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