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Proceedings Paper

Analysis the conformable fractional derivative and Caputo definitions in the action of an electric circuit containing a supercapacitor
Author(s): Ewa Piotrowska
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Paper Abstract

The paper presents an analysis of the electrical circuit with the supercapacitor in the transient state described by the fractional-order state-space equations. General solutions to the fractional state-space equations developed for two types of definitions of fractional derivative: Caputo and the Conformable Fractional Derivative (CDF). The voltage characteristics of the charge supercapacitor were compared with the results of analytical tests. The voltage was measured on the supercapacitor. Next was determined with of solution are the best fit compared: classic case solution and solution using the fractional order definition. The tests were carried out for three different resistance values. Using the method of least-squares optimization the analytical results and measurements were compared with each other by the function of matching error.

Paper Details

Date Published: 1 October 2018
PDF: 10 pages
Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 108081T (1 October 2018); doi: 10.1117/12.2501384
Show Author Affiliations
Ewa Piotrowska, Bialystok Univ. of Technology (Poland)


Published in SPIE Proceedings Vol. 10808:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018
Ryszard S. Romaniuk; Maciej Linczuk, Editor(s)

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