Fractional order inductive phenomena based on the skin effect |
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Authors: | J A Tenreiro Machado Alexandra M S F Galhano |
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Institution: | 1. Dept. Electrical Engineering, Institute of Engineering of the Polytechnic of Porto, Porto, Portugal
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Abstract: | 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. |
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