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Computational and Applied Mathematics Journal

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Hybrid Nelder-Mead Imperialist Competitive Algorithm Applied to Electric Motor Design

Computational and Applied Mathematics Journal
Vol.1 , No. 5, Publication Date: Jul. 10, 2015, Page: 307-318

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Authors

[1]	Julien Lepagnot, LMIA Laboratory (EA 3993), University of Haute-Alsace, Mulhouse, France.
[2]	Lhassane Idoumghar, LMIA Laboratory (EA 3993), University of Haute-Alsace, Mulhouse, France.
[3]	Daniel Fodorean, Electrical Machines & Drives Department, Technical University of Cluj-Napoca, Cluj-Napoca, Romania.

Abstract

In this paper, a hybrid metaheuristic based on Imperialist Competitive Algorithm (ICA) and on the Nelder-Mead simplex method (NM) is proposed. The purpose of NM is to improve both the diversification and the intensification capabilities of ICA. The proposed algorithm, called ICA-NM, is validated and compared with ICA and two other well-known metaheuristics using the benchmark of the CEC’2005 congress. The results show the efficiency of the proposed algorithm. Then, ICA-NM is used to design an optimal motor for an electric scooter in terms of both its mass and its output power. For this practical problem, ICA-NM outperforms several well-known metaheuristics used for this problem. Finally, the solution found by ICA-NM is validated by building and testing the corresponding prototype motor.

Keywords

Imperialist Competitive Algorithm, Nelder-Mead, Hybrid Algorithm, Electric Motor Design

Reference

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