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In rotating electrical machines, it is reasonable to assume that each iron sheet is exposed to the same field, thus it suffices to simulate only one sheet. In the case of the thickness of the sheet being small compared to the other dimensions, the three dimensional problem may be further reduced to a two dimensional one, coupled with a separate one dimensional problem in the direction of the thickness, which will be assumed to be the z axis throughout this contribution. Examples of such an approach have been presented in Bottauscio and Chiampi (2002) and J. Pippuri and Arkkio (2010), where the coupling is realized via a nested iteration, and F. Henrotte and Geuzaine (2015), where this principle was used in the context of homogenization.

MSFEM for the Linear 2D1D-Problem of Eddy Currents in Thin Iron Sheets