Volume Integral Equation Methods for Axisymmetric Problems With Conductive and Magnetic Media

R Torchio (1) , D Voltolina (2) , F Moro (2) , P Alotto (2) , P Bettini (2) , Gérard Meunier (1) , J-M Guichon (1) , Olivier Chadebec (1)

1 G2ELab - Laboratoire de Génie Electrique de Grenoble
2 Department of Industrial Engineering [Padova]

Two new different integral equation methods for the study of axisymmetric harmonic electromagnetic problems are presented. Both the proposed formulations allow for the modeling of conductive and magnetic media and inhomogeneous media can be considered as well. Thanks to the use of low-rank approximation techniques a drastic reduction of the required memory and computational cost is achieved with a truly negligible loss of accuracy. The numerical features of the two proposed integral methods are widely discussed and compared. Moreover, most of the considerations hold for the case of 3-D integral methods. Sample codes of the two formulations are made available at https://github.com/UniPD-DII-ETCOMP/DenseMatrixMarket.

Mots clés: Axisymmetric; magnetic media; low-rank approximation; hierarchical matrix; induction heating

Domaines: Energie électrique

R Torchio, D Voltolina, F Moro, P Alotto, P Bettini, et al.. Volume Integral Equation Methods for Axisymmetric Problems With Conductive and Magnetic Media. IEEE Transactions on Magnetics, 2020, 56 (1), ⟨10.1109/TMAG.2019.2947394⟩. ⟨hal-02995195⟩