Multiscale Modelling of Nonlinear Eddy Current Problems Using the h-conforming Formulation

Innocent Niyonzima (1) , Antoine Marteau (1) , Gérard Meunier (1) , Ruth V. Sabariego (2) , Olivier Chadebec (1) , Nicolas Galopin (1) , Christophe Geuzaine (3)

1 G2ELab - Laboratoire de Génie Electrique de Grenoble
2 Department of Electrical Engineering - ESAT [Leuven]
3 Institut Montefiore - Department of Electrical Engineering and Computer Science

This paper deals with an h-conforming multiscale formulation for nonlinear eddy current problems in idealized soft magnetic composites using the heterogeneous multiscale method. The classical h-ϕ formulation is recalled before presenting the different components of the h-ϕ multiscale formulation including the governing weak forms, the upscaling of quantities of interest and details some on the numerical implementation. Validation results are then presented before a conclusion.

Domains: Electric power

Innocent Niyonzima, Antoine Marteau, Gérard Meunier, Ruth V. Sabariego, Olivier Chadebec, et al.. Multiscale Modelling of Nonlinear Eddy Current Problems Using the h-conforming Formulation. 13th International Symposium on Electric and Magnetic Fields (EMF 2023), Aug 2023, Marseille, France. ⟨hal-04197526⟩