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arXiv · 2108.13168

Hyperbolic Basis Functions for Time-Transient Analysis of Eddy Currents in Conductive and Magnetic Thin Sheets

Bruno de Sousa Alves·Ruth V. Sabariego·Marc Laforest·Frédéric Sirois
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Abstract

This paper presents a new time-domain finite-element approach for modelling thin sheets with hyperbolic basis functions derived from the well-known steady-state solution of the linear flux diffusion equation. The combination of solutions at different operating frequencies permits the representation of the time-evolution of field quantities in the magnetic field formulation. This approach is here applied to solve a planar shielding problem in harmonic and time-dependent simulations for materials with either linear or nonlinear characteristics. Local and global quantities show good agreement with the reference solutions obtained by the standard finite element method on a complete and representative discretization of the region exposed to a time-varying magnetic field.

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Bruno de Sousa Alves, Ruth V. Sabariego, Marc Laforest, Frédéric Sirois. 2021-08-13. Hyperbolic Basis Functions for Time-Transient Analysis of Eddy Currents in Conductive and Magnetic Thin Sheets. https://doi.org/10.1109/tmag.2021.3111519

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