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Research Papers: Implementation

Modeling of Electrochemical Double Layer Capacitors by Means of Fractional Impedance

[+] Author and Article Information
Rodolfo Martín, Jose J. Quintana, Ignacio de la Nuez

Department of Electronic and Automatic Engineering, Las Palmas de Gran Canaria University, Campus Universitario de Tafira, 35017 Canary Islands, Spain

Alejandro Ramos

Department of Process Engineering, Las Palmas de Gran Canaria University, Campus Universitario de Tafira, 35017 Canary Islands, Spain

J. Comput. Nonlinear Dynam 3(2), 021303 (Feb 04, 2008) (6 pages) doi:10.1115/1.2833909 History: Received June 08, 2007; Revised November 12, 2007; Published February 04, 2008

The application of the fractional calculus for modeling electrochemical double layer capacitors is a novel way to get simpler and precise models. On using the impedance spectroscopy method, experimental results for different values have been obtained. In this paper, several classical mathematical models are studied and a different method is introduced in order to get a model from electrochemical double layer capacitors. This method is based on distinct models with fractional elements, and some parameters of the models are fitted to the experimental data, with minimal error. Finally, a Havriliak–Negami function based model is proposed. It achieves excellent fitting to the whole frequency interval analyzed.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

RC transmission line

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Figure 2

Nyquist diagram of a capacitor (ideal and Westerlund and Ekstam equations) and an EDLC (50F)

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Figure 3

Nyquist diagram of an EDLC of 4.7F

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Figure 4

Models of classical circuits

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Figure 5

Models of fractional circuits

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Figure 7

Nyquist diagram of the 50F EDLC and the proposed circuit

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Figure 8

Nyquist diagram of the 10F EDLC and the proposed circuit

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