Title : Comparative analysis of suitability of fractional derivatives in modelling the practical capacitor
Researcher : Banchuin, R.
Department : Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email : rawid.ban@siam.edu
Abstract :
Purpose
The purpose of this paper is to compare the suitability of fractional derivatives in the modelling of practical capacitors. Such suitability refers to ability to provide the analytical capacitance function that matches the experimental ones of each fractional derivative.
Design/methodology/approach
The analytical capacitance functions based on various fractional derivatives of both local and nonlocal types including the author’s have been derived. The derived capacitance functions have been simulated and compared with the experimental ones of aluminium electrolytic and electrical double layer capacitors (EDLCs).
Findings
This paper has found that any local fractional derivative with fractional power law-based relationship with the conventional one is suitable for modelling the aluminium electrolytic capacitor (AEC) by incorporating with the conventional capacitance definition. On the other hand, the author’s nonlocal fractional derivatives have been found to be more suitable than the others for modelling the EDLC by incorporating with the revisited definition of capacitance.
Originality/value
The proposed comparative analysis has been originally presented in this work. The criterion for local fractional derivative, to be suitable for modelling the AEC, has been found. The nonlocal fractional operators which are most suitable for modelling the EDLC have been derived where the unsuitable one has been pointed out.
Link to article : COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(1), 304-318. https://doi.org/10.1108/COMPEL-08-2021-0293
Journal : COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus
Citation : Banchuin, R. (2022). Comparative analysis of suitability of fractional derivatives in modelling the practical capacitor. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(1), 304-318. https://doi.org/10.1108/COMPEL-08-2021-0293
ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/comparative-analysis-of-suitability/
