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Journal of Vibration and Control
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Fractional Electrical Impedances in Botanical Elements

Isabel S. Jesus

Department of Electrical Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 4200-072 Porto, Portugal, isj{at}isep.ipp.pt

J.A. Tenreiro Machado

Department of Electrical Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 4200-072 Porto, Portugal

J. Boaventure Cunha

Engineering Department, University of Trás-os-Montes and Alto Douro, Vila-Real, Portugal

Fractional calculus (FC) is no longer considered solely from a mathematical viewpoint, and is now applied in many emerging scientific areas, such as electricity, magnetism, mechanics, fluid dynamics, and medicine. In the field of dynamical systems, significant work has been carried out proving the importance of fractional order mathematical models. This article studies the electrical impedance of vegetables and fruits from a FC perspective. From this line of thought, several experiments are developed for measuring the impedance of botanical elements. The results are analyzed using Bode and polar diagrams, which lead to electrical circuit models revealing fractional-order behaviour.

Key Words: Fractional calculus • electrical impedance • fruits • vegetables • modelling

Journal of Vibration and Control, Vol. 14, No. 9-10, 1389-1402 (2008)
DOI: 10.1177/1077546307087442
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