Fractional order inductive phenomena based on the skin effect

• Autor(es): Machado, J. A. Tenreiro ; Galhano, Alexandra
• Data: 2012
• Identificador Persistente: http://hdl.handle.net/10400.22/4100
• Origem: Repositório Científico do Instituto Politécnico do Porto
• Assunto(s): Skin effect; Electromagnetism; Inductance; Fractional calculus; Genetic algorithms
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.