Fractional order inductive phenomena based on the skin effect

The Maxwell equations play a fundamental role in the electromagnetic theory and lead to models useful in physics and engineering. This formalism involves integer-order differential calculus, but the electromagnetic diffusion points towards the adoption of a fractional calculus approach. This study a...

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Detalhes bibliográficos
Autor principal: Machado, J. A. Tenreiro (author)
Outros Autores: Galhano, Alexandra (author)
Formato: article
Idioma:eng
Publicado em: 2014
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/4100
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4100
Descrição
Resumo:The Maxwell equations play a fundamental role in the electromagnetic theory and lead to models useful in physics and engineering. This formalism involves integer-order differential calculus, but the electromagnetic diffusion points towards the adoption of a fractional calculus approach. This study addresses the skin effect and develops a new method for implementing fractional-order inductive elements. Two genetic algorithms are adopted, one for the system numerical evaluation and another for the parameter identification, both with good results.