2D Analytical Model for Computing Eddy-Current Loss in Nonlinear Thick Steel Laminations

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In this article, we propose an analytical method to compute the eddy-current loss in nonlinear thick steel laminations (3-12 mm) by considering the return path of the eddy currents. Initially, a 2-D finite-element (FE) model is applied to segregate losses measured from toroidal material samples into hysteresis and eddy-current loss components to use them as reference. Afterward, a 2-D analytical time-domain model is proposed for the eddy currents based on the solution of the 2-D field problem. The time-domain model is then used to derive a simple frequency-domain eddy-current loss formulation for the sinusoidal flux density case with the inclusion of a skin-effect correction factor, which accounts for the nonlinearity of the material. Highly accurate results are obtained from the proposed model compared to FE reference results with a mean relative error of 5.1% in the nonlinear region.

Original languageEnglish
Article number6301204
JournalIEEE Transactions on Magnetics
Issue number9
Early online date28 Mar 2022
Publication statusPublished - Sept 2022
MoE publication typeA1 Journal article-refereed


  • Eddy currents
  • Eddy-current loss
  • Nonlinearity
  • Skin effect
  • Thick steel laminations


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