Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel
Joint Authors
Aguilar, José Francisco Gómez
Morales-Mendoza, L. J.
Gonzalez-Lee, M.
Escalante-Martínez, J. E.
Calderón-Ramón, C.
Benavidez-Cruz, M.
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-16
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present an alternative representation of integer and fractional electrical elements in the Laplace domain for modeling electrochemical systems represented by equivalent electrical circuits.
The fractional derivatives considered are of Caputo and Caputo-Fabrizio type.
This representation includes distributed elements of the Cole model type.
In addition to maintaining consistency in adjusted electrical parameters, a detailed methodology is proposed to build the equivalent circuits.
Illustrative examples are given and the Nyquist and Bode graphs are obtained from the numerical simulation of the corresponding transfer functions using arbitrary electrical parameters in order to illustrate the methodology.
The advantage of our representation appears according to the comparison between our model and models presented in the paper, which are not physically acceptable due to the dimensional incompatibility.
The Markovian nature of the models is recovered when the order of the fractional derivatives is equal to 1.
American Psychological Association (APA)
Aguilar, José Francisco Gómez& Escalante-Martínez, J. E.& Calderón-Ramón, C.& Morales-Mendoza, L. J.& Benavidez-Cruz, M.& Gonzalez-Lee, M.. 2016. Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1095961
Modern Language Association (MLA)
Aguilar, José Francisco Gómez…[et al.]. Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel. Advances in Mathematical Physics No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1095961
American Medical Association (AMA)
Aguilar, José Francisco Gómez& Escalante-Martínez, J. E.& Calderón-Ramón, C.& Morales-Mendoza, L. J.& Benavidez-Cruz, M.& Gonzalez-Lee, M.. Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1095961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095961