Air Gap Shape Optimization for Minimizing Proximity Effect Losses in an Inductor
Résumé
This paper addresses the constrained gradient-based design optimization of the air gap profile of an inductor with both control points and adaptative mesh deformation based approaches. The objective is to minimize the proximity effect losses inside the conductors while keeping the inductance value constant. This involves a complex permeability model to account for losses, with sensitivities determined via the adjoint method and shape derivatives. It is shown that the optimized air gap profile is curved in order to concentrate the flux lines away from the (fixed) conductors. The implementation uses the open-source finite-element toolbox NGsolve and Mmg remeshing library; all the codes are freely available.
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