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Comparative analysis to determine the accuracy of fractional derivatives in modeling supercapacitors
Author(s) -
Carreño C.A.,
Rosales J.J.,
Merchan L.R.,
Lozano J.M.,
Godínez F.A.
Publication year - 2019
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2677
Subject(s) - conformable matrix , fractional calculus , integer (computer science) , derivative (finance) , supercapacitor , mathematics , set (abstract data type) , point (geometry) , computer science , capacitance , physics , geometry , electrode , quantum mechanics , financial economics , economics , programming language
Summary In this paper, we study a supercapacitor model represented by an equivalent RC circuit considering five different types of derivatives: Caputo, Caputo‐Fabrizio, and Atangana‐Baleanu fractional derivatives and the conformable and integer‐order derivatives. A set of experimental data from six commercial supercapacitors are used to estimate the parameter values for each derivative model by applying interior point optimization. The results show that the most accurate approach is achieved with the conformable derivative followed by the Caputo fractional derivative.