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Modeling the Lithium IonElectrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant
Joint Authors
Summerfield, John H.
Curtis, Charles N.
Source
International Journal of Electrochemistry
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-17
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This work investigates a one-dimensional model for the solid-state diffusion in a LiC6/LiMnO2 rechargeable cell.
This cell is used in hybrid electric vehicles.
In this environment the cell experiences low frequency electrical pulses that degrade the electrodes.
The model’s starting point is Fick’s second law of diffusion.
The Laplace transform is used to move from time as the independent variable to frequency as the independent variable.
To better understand the effect of frequency changes on the cell, a transfer function is constructed.
The transfer function is a transcendental function so a Padé approximant is found to better describe the model at the origin.
Consider ∂c(r,t)/∂t=D∂2c(r)/∂2r+(2/r)(∂c(r)/∂r).
American Psychological Association (APA)
Summerfield, John H.& Curtis, Charles N.. 2015. Modeling the Lithium IonElectrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant. International Journal of Electrochemistry،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1065954
Modern Language Association (MLA)
Summerfield, John H.& Curtis, Charles N.. Modeling the Lithium IonElectrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant. International Journal of Electrochemistry No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1065954
American Medical Association (AMA)
Summerfield, John H.& Curtis, Charles N.. Modeling the Lithium IonElectrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant. International Journal of Electrochemistry. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1065954
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065954