LAPSE:2023.29872
Published Article

LAPSE:2023.29872
Elbows of Internal Resistance Rise Curves in Li-Ion Cells
April 14, 2023
Abstract
The degradation of lithium-ion cells with respect to increases of internal resistance (IR) has negative implications for rapid charging protocols, thermal management and power output of cells. Despite this, IR receives much less attention than capacity degradation in Li-ion cell research. Building on recent developments on ‘knee’ identification for capacity degradation curves, we propose the new concepts of ‘elbow-point’ and ‘elbow-onset’ for IR rise curves, and a robust identification algorithm for those variables. We report on the relations between capacity’s knees, IR’s elbows and end of life for the large dataset of the study. We enhance our discussion with two applications. We use neural network techniques to build independent state of health capacity and IR predictor models achieving a mean absolute percentage error (MAPE) of 0.4% and 1.6%, respectively, and an overall root mean squared error below 0.0061. A relevance vector machine, using the first 50 cycles of life data, is employed for the early prediction of elbow-points and elbow-onsets achieving a MAPE of 11.5% and 14.0%, respectively.
The degradation of lithium-ion cells with respect to increases of internal resistance (IR) has negative implications for rapid charging protocols, thermal management and power output of cells. Despite this, IR receives much less attention than capacity degradation in Li-ion cell research. Building on recent developments on ‘knee’ identification for capacity degradation curves, we propose the new concepts of ‘elbow-point’ and ‘elbow-onset’ for IR rise curves, and a robust identification algorithm for those variables. We report on the relations between capacity’s knees, IR’s elbows and end of life for the large dataset of the study. We enhance our discussion with two applications. We use neural network techniques to build independent state of health capacity and IR predictor models achieving a mean absolute percentage error (MAPE) of 0.4% and 1.6%, respectively, and an overall root mean squared error below 0.0061. A relevance vector machine, using the first 50 cycles of life data, is employed for the early prediction of elbow-points and elbow-onsets achieving a MAPE of 11.5% and 14.0%, respectively.
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Keywords
early prediction, elbow-points, internal resistance, lithium-ion battery, parameter identification
Subject
Suggested Citation
Strange C, Li S, Gilchrist R, dos Reis G. Elbows of Internal Resistance Rise Curves in Li-Ion Cells. (2023). LAPSE:2023.29872
Author Affiliations
Strange C: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK [ORCID]
Li S: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK [ORCID]
Gilchrist R: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK [ORCID]
dos Reis G: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK; Centro de Matemática e Aplicações (CMA), FCT, UNL, Quinta da Torre, 2829-516 Caparica, Portugal [ORCID]
Li S: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK [ORCID]
Gilchrist R: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK [ORCID]
dos Reis G: School of Mathematics, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK; Centro de Matemática e Aplicações (CMA), FCT, UNL, Quinta da Torre, 2829-516 Caparica, Portugal [ORCID]
Journal Name
Energies
Volume
14
Issue
4
First Page
1206
Year
2021
Publication Date
2021-02-23
ISSN
1996-1073
Version Comments
Original Submission
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PII: en14041206, Publication Type: Journal Article
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LAPSE:2023.29872
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https://doi.org/10.3390/en14041206
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Apr 14, 2023
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