Comparison of three space mapping techniques on electromagnetic design optimization

• Published in: Compel 2018-03, Vol.37 (2), p.565-580
• Main Authors: Gong, Jinlin, Gillon, Frédéric, Bracikowski, Nicolas
• Format: Article
• Language: English
• Subjects: Algorithms; Approximation; Comparative analysis; Constraint modelling; Convergence; Design optimization; Design specifications; Electromagnetic induction; Electromagnetics; Engineering Sciences; Fault tolerance; Iterative methods; Kriging interpolation; Mapping; Optimization techniques
• ISSN: 0332-1649; 2054-5606
• DOI: 10.1108/COMPEL-11-2016-0512

PurposeThis paper aims to investigate three low-evaluation-budget optimization techniques: output space mapping (OSM), manifold mapping (MM) and Kriging-OSM. Kriging-OSM is an original approach having high-order mapping. Design/methodology/approachThe electromagnetic device to be optimally sized is a five-phase linear induction motor, represented through two levels of modeling: coarse (Kriging model) and fine.The optimization comparison of the three techniques on the five-phase linear induction motor is discussed. FindingsThe optimization results show that the OSM takes more time and iteration to converge the optimal solution compared to MM and Kriging-OSM. This is mainly because of the poor quality of the initial Kriging model. In the case of a high-quality coarse model, the OSM technique would show its domination over the other two techniques. In the case of poor quality of coarse model, MM and Kriging-OSM techniques are more efficient to converge to the accurate optimum. Originality/valueKriging-OSM is an original approach having high-order mapping. An advantage of this new technique consists in its capability of providing a sufficiently accurate model for each objective and constraint function and makes the coarse model converge toward the fine model more effectively.