Fractional order inductive phenomena based on the skin effect

• Author(s): Machado, J. A. Tenreiro ; Galhano, Alexandra
• Date: 2012
• Persistent ID: http://hdl.handle.net/10400.22/4100
• Origin: Repositório Científico do Instituto Politécnico do Porto
• Subject(s): Skin effect; Electromagnetism; Inductance; Fractional calculus; Genetic algorithms
• Document Type: Article
• Language: English

Description

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.