This is an author's version published in: https://oatao.univ-toulouse.fr/ 2 4307 To cite this version: Amrouchi, Zahia and Messine, Frédéric and Nadal, Clément and Ouanès, Mohand Design of slotless permanent magnet machines by a semi-infinite global optimization method. Abstract-An efficient way to design slotless permanent magnet machines is to associate analytical models with deterministic global optimization algorithms. In this paper, we propose to extend these design approaches in order to

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... ake into account the torque ripples. This involves the study of a semi-infinite optimization problem. To solve it, a discretization method associated with an exact Branch and Bound global optimization solver is developed. This new approach is validated on some numerical tests showing that efficient global optimal solutions with torque ripples about 5 % (instead of 30 %) can be so-obtained. Index Terms-Slotless permanent magnet machines, semiinfinite programming, analytical model, deterministic global optimization.