Fractional model of an electrochemical capacitor

The fractional model of the electrochemical capacitor (EC) and its potential relaxation are presented. The potential relaxation occurs after charge or discharge current interruption. The EC fractional model is based on the fractional order transfer function that was obtained by means of least square...

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Bibliographic Details
Published in:Signal processing 2015-02, Vol.107, p.355-360
Main Authors: Martynyuk, Valeriy, Ortigueira, Manuel
Format: Article
Language:English
Subjects:
Electrochemical capacitor
Electrochemical impedance spectroscopy
Impulse response
Potential relaxation
Transfer function
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Summary:The fractional model of the electrochemical capacitor (EC) and its potential relaxation are presented. The potential relaxation occurs after charge or discharge current interruption. The EC fractional model is based on the fractional order transfer function that was obtained by means of least squares fitting of the EC impedance data. The inverse Laplace transform is used to obtain the EC impulse response. By using of the EC impulse response the EC charge and discharge simulation were performed. •The paper presents an approach that is based on the fractional calculus and allows simulating the electrochemical capacitor with more accuracy in the time and frequency regions.•It establishes the electrochemical capacitor fractional transfer function and its equivalent circuit.•It presents the utilization of the general impedance converter (GIC) for simulation of the electrochemical capacitor fractional equivalent circuit.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2014.02.021