Multiobjective Particle Swarm Approach for the Design of a Brushless DC Wheel Motor

The roots of swarm intelligence are deeply embedded in the biological study of self-organized behaviors in social insects. Particle swarm optimization (PSO) is one of the modern metaheuristics of swarm intelligence, which can be effectively used to solve nonlinear and non-continuous optimization problems. The basic principle of PSO algorithm is formed on the assumption that potential solutions (particles) will be flown through hyperspace with acceleration towards more optimum solutions. Each particle adjusts its flying according to the flying experiences of both itself and its companions using equations of position and velocity. During the process, the coordinates in hyperspace associated with its previous best fitness solution and the overall best value attained so far by other particles within the group are kept track and recorded in the memory. In recent years, PSO approaches have been successfully implemented to different problem domains with multiple objectives. In this paper, a multiobjective PSO approach, based on concepts of Pareto optimality, dominance, archiving external with elite particles and truncated Cauchy distribution, is proposed and applied in the design with the constraints presence of a brushless DC (Direct Current) wheel motor. Promising results in terms of convergence and spacing performance metrics indicate that the proposed multiobjective PSO scheme is capable of producing good solutions.

[1]  Lothar Thiele,et al.  Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study , 1998, PPSN.

[2]  DebK.,et al.  A fast and elitist multiobjective genetic algorithm , 2002 .

[3]  Lixiang Li,et al.  A multi-objective chaotic particle swarm optimization for environmental/economic dispatch , 2009 .

[4]  Christian Magele,et al.  Particle swarm optimisation for Pareto optimal solutions in electromagnetic shape design , 2004 .

[5]  Kwang Y. Lee,et al.  Multi-objective based on parallel vector evaluated particle swarm optimization for optimal steady-state performance of power systems , 2009, Expert Syst. Appl..

[6]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[7]  J. Vasconcelos,et al.  The a posteriori decision in multiobjective optimization problems with smarts, promethee II, and a fuzzy algorithm , 2006, IEEE Transactions on Magnetics.

[8]  Chi-Yang Tsai,et al.  A multiple objective particle swarm optimization approach for inventory classification , 2008 .

[9]  Junjie Yang,et al.  A novel strategy of pareto-optimal solution searching in multi-objective particle swarm optimization (MOPSO) , 2009, Comput. Math. Appl..

[10]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[11]  Prospero C. Naval,et al.  An effective use of crowding distance in multiobjective particle swarm optimization , 2005, GECCO '05.

[12]  Marco Laumanns,et al.  SPEA2: Improving the strength pareto evolutionary algorithm , 2001 .

[13]  M. A. Abido,et al.  Optimal location and setting of SVC and TCSC devices using non-dominated sorting particle swarm optimization , 2009 .

[14]  M Reyes Sierra,et al.  Multi-Objective Particle Swarm Optimizers: A Survey of the State-of-the-Art , 2006 .

[15]  Yujia Wang,et al.  Particle swarm optimization with preference order ranking for multi-objective optimization , 2009, Inf. Sci..

[16]  Stephane Brisset,et al.  Analytical model for the optimal design of a brushless DC wheel motor , 2005 .

[17]  Y. Rahmat-Samii,et al.  Advances in Particle Swarm Optimization for Antenna Designs: Real-Number, Binary, Single-Objective and Multiobjective Implementations , 2007, IEEE Transactions on Antennas and Propagation.

[18]  Shiyou Yang,et al.  A particle swarm optimization-based method for multiobjective design optimizations , 2005, IEEE Transactions on Magnetics.