THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xian-Yong Liu

,

Yan-Ping Liu

,

Zeng-Wen Wu

FRACTAL CALCULUS FOR MODELING ELECTROCHEMICAL CAPACITORS UNDER DYNAMICAL CYCLING

ABSTRACT
The differential model for electrochemical capacitors under dynamical cycling results in discontinuity of the electric current. This paradox makes theoretical analysis of the electrochemical capacitors much difficult, and there is not universal approach to treatment of the problem. This paper finds that the fractal calculus can be powerfully applied to the problem, and a continuous electric current can be obtained as it should be.
KEYWORDS
fractal derivative, fractional calculus, periodic solution, discontinuity
PAPER SUBMITTED: 2020-03-08
PAPER REVISED: 2020-06-15
PAPER ACCEPTED: 2020-06-15
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200308028L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1317 - 1320]
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Fractal calculus for modeling electrochemical capacitors under dynamical cycling

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence