Development of fractional order electrical potential through PSO algorithm

Authors:
Isabel S. Jesus;Ramiro S. Barbosa
Affiliations:
Knowledge Engineering and Decision Support Research Center, Institute of Engineering, Polytechnic of Porto, Porto, Portugal;Knowledge Engineering and Decision Support Research Center, Institute of Engineering, Polytechnic of Porto, Porto, Portugal
Venue:
AIC'10/BEBI'10 Proceedings of the 10th WSEAS international conference on applied informatics and communications, and 3rd WSEAS international conference on Biomedical electronics and biomedical informatics
Year:
2010

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Abstract

Particle swarm optimization (PSO) is one of the latest evolutionary optimization techniques, inspired by social behavior of bird flocking or fish schooling. It has the better ability of global searching and has been successfully applied in many areas of engineering and science. Recently, a closer look of some phenomena present in electrical systems and the motivation towards the development of comprehensive models, pointed out the requirement for a fractional calculus (FC) approach. The problem of point multipoles of electric charges and the corresponding electrical potential is an important subject in the field of electromagnetism. In this work, it is applied the concept of fractional calculus to define, and to evaluate, the electrical potential of fractional order. For that, the analysis and the synthesis of fractional-order multipoles, based in a PSO optimization scheme, is addressed.