The goal of this paper is to improve the performance of an electric motor bymodifying the geometry of a specific part of the iron core of its rotor. To bemore precise, the objective is to smooth the rotation pattern of the rotor. Ashape optimization problem is formulated by introducing a tracking-type costfunctional to match a desired rotation pattern. The magnetic field generated bypermanent magnets is modeled by a nonlinear partial differential equation ofmagnetostatics. The shape sensitivity analysis is rigorously performed for thenonlinear problem by means of a new shape-Lagrangian formulation adapted tononlinear problems.
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