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Design of Slotless Permanent Magnet Machines by Developing a Semi-Infinite Global optimization Method

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 this design approach to take 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.