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Optimal Design of Electrical Machines: Mathematical Programming Formulations

Sonia Cafieri (sonia***at***recherche.enac.fr)
Leo Liberti (Leo.Liberti***at***lix.polytechnique.fr)
Frédéric Messine (Frederic.Messine***at***n7.fr)
Bertrand Nogarède (Bertrand.Nogarede***at***n7.fr)

Abstract: The optimal design of electrical machines can be mathematically modeled as a mixed-integer nonlinear optimization problem. We present six variants of such a problem, and we show, through extensive computational experiments, that, even though they are mathematically equivalent, the differences in the formulations may have an impact on the numerical performances of a local optimization solver used to solve it. We first consider the optimization problem as a continuous problem, then we discuss how to deal with an integer variable. We conclude by solving the mixed-integer problem via a deterministic global optimization solver.

Keywords: analytical model, formulation, local optimization, inverse problem, design, electrical machine, mixed integer non-linear programming, deterministic global optimization.

Category 1: Applications -- Science and Engineering (Multidisciplinary Design Optimization )

Category 2: Global Optimization (Applications )

Category 3: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation:

Download: [PDF]

Entry Submitted: 06/08/2011
Entry Accepted: 06/08/2011
Entry Last Modified: 06/07/2012

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