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.

Citation

Pei, Y., Pichon, L., Bensetti, M. and Le Bihan, Y. (2022), "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, Vol. 41 No. 6, pp. 2045-2059. https://doi.org/10.1108/COMPEL-10-2021-0393