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Development of fractional order capacitors based on electrolyte processes

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Abstract

In recent years, significant research in the field of electrochemistry was developed. The performance of electrical devices, depending on the processes of the electrolytes, was described and the physical origin of each parameter was established. However, the influence of the irregularity of the electrodes was not a subject of study and only recently this problem became relevant in the viewpoint of fractional calculus. This paper describes an electrolytic process in the perspective of fractional order capacitors. In this line of thought, are developed several experiments for measuring the electrical impedance of the devices. The results are analyzed through the frequency response, revealing capacitances of fractional order that can constitute an alternative to the classical integer order elements. Fractional order electric circuits are used to model and study the performance of the electrolyte processes.

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Authors and Affiliations

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

    Isabel S. Jesus & J. A. Tenreiro Machado

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  1. Isabel S. Jesus
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  2. J. A. Tenreiro Machado
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Correspondence to Isabel S. Jesus.

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Jesus, I.S., Tenreiro Machado, J.A. Development of fractional order capacitors based on electrolyte processes. Nonlinear Dyn 56, 45–55 (2009). https://doi.org/10.1007/s11071-008-9377-8

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