Eur. Phys. J. Appl. Phys.
Volume 92, Number 1, October 2020
International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF 2019)
|Number of page(s)||7|
|Section||Physics of Energy Transfer, Conversion and Storage|
|Published online||19 October 2020|
Modeling the dynamic behavior of laminated steels using a Fourier-based approach★
Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands
* e-mail: firstname.lastname@example.org
Received in final form: 21 April 2020
Accepted: 8 September 2020
Published online: 19 October 2020
A new magneto-dynamic model is proposed to approximate the dynamic hysteresis effect in laminated steels considering the static hysteresis, eddy-current field, and excess field. An accurate congruency-based hysteresis model is used to predict the static hysteresis field. The eddy-current is determined from the 1D diffusion equation and the well-known Bertotti empirical equation is utilized to model the excess-field effect. The dynamic lamination model obtained from coupling three field components is solved using a Fourier-based approach. In this approach, the flux density across the lamination thickness is approximated by a cosine-based Fourier series. The coefficients of the Fourier series are determined by solving a system of nonlinear equations through an iterative procedure. Owing to the employed congruency-based static hysteresis model, the proposed magneto-dynamic model offers high accuracy for arbitrary magnetization regimes. To validate the model accuracy, the model results are compared with sinusoidal and multi-harmonic measurements. The comparison shows that the proposed model predicts the dynamic hysteresis phenomenon in laminated steels with a relative energy error of less than 7%.
© EDP Sciences, 2020
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