Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/43832
Title: Modeling of an EDLC with fractional transfer functions using mittag-leffler equations
Authors: Quintana Hernández, José Juan 
Ramos Martín, Alejandro 
Nuez Pestana, Ignacio de la 
UNESCO Clasification: 3307 Tecnología electrónica
Keywords: Supercapacitor Model
Issue Date: 2013
Journal: Mathematical Problems in Engineering 
Abstract: Electrochemical double-layer capacitors (EDLC), also known as supercapacitors or ultracapacitors, are devices in which diffusion phenomena play an important role. For this reason, their modeling using integer-order differential equations does not yield satisfactory results. The higher the temporal intervals are, the more problems and errors there will be when using integer-order differential equations. In this paper, a simple model of a real capacitor formed by an ideal capacitor and two parasitic resistors, one in series and the second in parallel, is used. The proposed model is based on the ideal capacitor, adding a fractional behavior to its capacity. The transfer function obtained is simple but contains elements in fractional derivatives, which makes its resolution in the time domain difficult. The temporal response has been obtained through the Mittag-Leffler equations being adapted to any EDLC input signal. Different charge and discharge signals have been tested on the EDLC allowing modeling of this device in the charge, rest, and discharge stages. The obtained parameters are few but identify with high precision the charge, rest, and discharge processes in these devices.
URI: http://hdl.handle.net/10553/43832
ISSN: 1024-123X
DOI: 10.1155/2013/807034
Source: Mathematical Problems in Engineering [ISSN 1024-123X], v. 2013 (807034)
Appears in Collections:Artículos
Adobe PDF (480,86 kB)
Show full item record

SCOPUSTM   
Citations

20
checked on Sep 15, 2024

WEB OF SCIENCETM
Citations

15
checked on Sep 15, 2024

Page view(s)

86
checked on May 5, 2024

Download(s)

58
checked on May 5, 2024

Google ScholarTM

Check

Altmetric


Share



Export metadata



Items in accedaCRIS are protected by copyright, with all rights reserved, unless otherwise indicated.