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arXiv · 1501.04752

Shape optimization of an electric motor subject to nonlinear magnetostatics

Peter Gangl·Ulrich Langer·Antoine Laurain·Houcine Meftahi·Kevin Sturm
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Abstract

The goal of this paper is to improve the performance of an electric motor by modifying the geometry of a specific part of the iron core of its rotor. To be more precise, the objective is to smooth the rotation pattern of the rotor. A shape optimization problem is formulated by introducing a tracking-type cost functional to match a desired rotation pattern. The magnetic field generated by permanent magnets is modeled by a nonlinear partial differential equation of magnetostatics. The shape sensitivity analysis is rigorously performed for the nonlinear problem by means of a new shape-Lagrangian formulation adapted to nonlinear problems.

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Peter Gangl, Ulrich Langer, Antoine Laurain, Houcine Meftahi, Kevin Sturm. 2015-01-20. Shape optimization of an electric motor subject to nonlinear magnetostatics. https://doi.org/10.1137/15100477x

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