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Multiobjective optimization based on polynomial chaos expansions in the design of inductive power transfer systems

Abstract : Purpose The purpose of this study is to decrease the computation time that the large number of simulations involved in a parametric sweep when the model is in a three-dimensional environment. Design/methodology/approach In this paper, a new methodology combining the PCE and a controlled, elitist genetic algorithm is proposed to design IPT systems. The relationship between the quantities of interest (mutual inductance and ferrite volume) and structural parameters (ferrite dimensions) is expressed by a PCE metamodel. Then, two objective functions corresponding to mutual inductance and ferrite volume are defined. These are combined together to obtain optimal parameters with a trade-off between these outputs. Findings According to the number of individuals and the generations defined in the optimization algorithm in this paper, it needs to calculate 20,000 times in a 3D environment, which is quite time-consuming. But for PCE metamodel of mutual inductance M, it requires at least 100 times of calculations. Afterward, the evaluation of M based on the PCE metamodel requires 1 or 2 s. So compared to a conventional optimization based on the 3D model, it is easier to get optimized results with this approach and it saves a lot of computation time. Originality/value The multiobjective optimization based on PCEs could be helpful to perform the optimization when considering the system in a realistic 3D environment involving many parameters with low computation time.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03671861
Contributor : Mohamed BENSETTI Connect in order to contact the contributor
Submitted on : Thursday, June 30, 2022 - 11:37:59 AM
Last modification on : Saturday, July 2, 2022 - 3:45:44 AM

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yao Pei, Lionel Pichon, Mohamed Bensetti, yann Le Bihan. Multiobjective optimization based on polynomial chaos expansions in the design of inductive power transfer systems. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, In press, ⟨10.1108/COMPEL-10-2021-0393⟩. ⟨hal-03671861⟩

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