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Optimal design of electrical machines : mathematical programming formulations

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.
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Submitted on : Thursday, April 3, 2014 - 3:28:24 PM
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Sonia Cafieri, Leo Liberti, Frédéric Messine, Bertrand Nogarede. Optimal design of electrical machines : mathematical programming formulations. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2013, 32 (3), pp 977-996. ⟨10.1108/03321641311305863⟩. ⟨hal-00934665⟩

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