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Multiscale finite element methods for 2D/1D problems have been studied inthis work to demonstrate their excellent ability to solve real-world problems.These methods are much more efficient than conventional 3D finite elementmethods and just as accurate. The 2D/1D multiscale finite element methods arebased on a magnetic vector potential or a current vector potential. Knowncurrents for excitation can be replaced by the Biot-Savart-field. Boundaryconditions allow to integrate planes of symmetry. All presented approachesconsider eddy currents, an insulation layer and preserve the edge effect. Asegment of a fictitious electrical machine has been studied to demonstrate allabove options, the accuracy and the low computational costs of the 2D/1Dmultiscale finite element methods.

Multiscale Finite Element Formulations for 2D/1D Problems