The paper presents a study of the influence of magnetic hysteresis on macroscopic eddy current losses. Usually, this loss is calculated within many simplifying assumptions, of which the most striking is not only neglecting the hysteresis, but also the nonlinearity of the material. To check how such simplifications affect the results, the loss was calculated taking into account the hysteresis phenomenon for several materials. For this purpose, an algorithm for solving Maxwell’s equations with magnetic characteristics given as a family of measured hysteresis loops was constructed. A new method for conversion between H and B fields using the measured hysteresis loops was also proposed. The results of calculations for three materials show that the eddy current loss calculated with magnetic hysteresis taken into account are smaller than those calculated via the classical formula obtained for linear materials. For the tested materials, the differences reach up to around 30%, depending on frequency, magnetic flux density and thickness of electrical sheet. This may result, among others, in erroneous determination of the excess loss in Bertotti’s approach.
The paper presents an algorithm for calculating the energy loss due to macroscopic eddy currents considering the non-linearity of magnetization characteristics and magnetic hysteresis. It was found that for non-oriented steel sheet with a silicon content of 6.5% and thickness 0.1 mm the consideration of non-linearity and magnetization characteristics has a little effect on the energy loss, at least up to 400 Hz. In the application of the algorithm, there are some limitations resulting from the assumption of the average value of the induction flux in the sample cross-section, numerical problems and hysteresis loop shapes.
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