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Progressive Finite Element modeling of thin and wire conducting regions - Homogenization models and their corrections

Abstract : The consideration of thin and wire conducting regions (e.g., lamination stacks in magnetic cores, foil windings, wires in stranded conductors) in finite element (FE) analyses is a source of difficulty regarding the mesh as well as the numerical solving. An isolated thin or wire volume region can efficiently be reduced to surface or line elements satisfying the actual distributions or interface conditions of the fields. Nevertheless, when numerous thin or wire regions are juxtaposed and separated with insulating layers, the whole resulting region must remain volumic and its homogenization is usually the only feasible solution for a 3-D FE analysis. Homogenization models are nevertheless tainted with errors, in particular on the border of the homogenized domains. Local corrections of homogenized solutions are proposed to be performed via sequences of FE subproblems (SPs), in certain thin or wire regions separately, surrounded by their insulating layers and the remaining regions kept homogenized. The correction SPs use sources calculated from the homogenized solution and allow local corrections of the fields and current densities in regions of interests, allowing to improve the determination of global quantities as well, such as Joule losses, resistances and inductances. Practical sequences of SPs, involving homogenization models followed by their corrections, with a handy way to define the required sources, will be developed and applied to practical test problems.
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Submitted on : Monday, November 7, 2016 - 10:25:05 AM
Last modification on : Monday, September 13, 2021 - 2:44:03 PM


  • HAL Id : hal-01393239, version 1


Patrick Dular, Laurent Krähenbühl. Progressive Finite Element modeling of thin and wire conducting regions - Homogenization models and their corrections. MSHOM, K. Hollaus, TU Wien, Sep 2016, Vienne, Austria. ⟨hal-01393239⟩



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