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.
@article{arxiv.1501.04752,
title = {Shape optimization of an electric motor subject to nonlinear magnetostatics},
author = {Peter Gangl and Ulrich Langer and Antoine Laurain and Houcine Meftahi and Kevin Sturm},
journal= {arXiv preprint arXiv:1501.04752},
year = {2018}
}