Multiscale Finite Element Formulations for 2D/1D Problems

Multiscale finite element methods for 2D/1D problems have been studied in this work to demonstrate their excellent ability to solve the eddy current problem in a single iron sheet of electrical machines. We believe that these methods are much more efficient than conventional 3D finite element method...

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Bibliographic Details
Published inIEEE transactions on energy conversion Vol. 39; no. 2; pp. 953 - 962
Main Authors Hollaus, Karl, Schobinger, Markus
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN0885-8969
1558-0059
1558-0059
DOI10.1109/TEC.2023.3333530

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Summary:Multiscale finite element methods for 2D/1D problems have been studied in this work to demonstrate their excellent ability to solve the eddy current problem in a single iron sheet of electrical machines. We believe that these methods are much more efficient than conventional 3D finite element methods and just as accurate. The 2D/1D multiscale finite element methods are based on a magnetic vector potential or a current vector potential. Known currents for excitation can be replaced by the Biot-Savart-field. Boundary conditions allow to integrate planes of symmetry. All approaches consider eddy currents, an insulation layer and preserve the edge effect. A segment of a fictitious electrical machine has been studied to demonstrate all above options, the accuracy and the low computational costs of the 2D/1D multiscale finite element methods. Numerous simulations are presented. Direct and iterative solvers were investigated to reliably solve the system of equations from 2D/1D MSFEMs.
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ISSN:0885-8969
1558-0059
1558-0059
DOI:10.1109/TEC.2023.3333530