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Structural identifiability of equivalent circuit models for Li-Ion batteries
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Grandjean, Thomas R. B., McGordon, Andrew and Jennings, P. A. (Paul A.) (2017) Structural identifiability of equivalent circuit models for Li-Ion batteries. Energies, 10 (1). 90. doi:10.3390/en10010090 ISSN 1996-1073.
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Official URL: http://doi.org/10.3390/en10010090
Abstract
Structural identifiability is a critical aspect of modelling that has been overlooked in the vast majority of Li-ion battery modelling studies. It considers whether it is possible to obtain a unique solution for the unknown model parameters from experimental data. This is a fundamental prerequisite of the modelling process, especially when the parameters represent physical battery attributes and the proposed model is utilised to estimate them. Numerical estimates for unidentifiable parameters are effectively meaningless since unidentifiable parameters have an infinite number of possible numerical solutions. It is demonstrated that the physical phenomena assignment to a two-RC (resistor–capacitor) network equivalent circuit model (ECM) is not possible without additional information. Established methods to ascertain structural identifiability are applied to 12 ECMs covering the majority of model templates used previously. Seven ECMs are shown not to be uniquely identifiable, reducing the confidence in the accuracy of the parameter values obtained and highlighting the relevance of structural identifiability even for relatively simple models. Suggestions are proposed to make the models identifiable and, therefore, more valuable in battery management system applications. The detailed analyses illustrate the importance of structural identifiability prior to performing parameter estimation experiments, and the algebraic complications encountered even for simple models. View Full-Text
Item Type: | Journal Article | ||||||
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Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||||
Library of Congress Subject Headings (LCSH): | Lithium ion batteries -- Mathematical models | ||||||
Journal or Publication Title: | Energies | ||||||
Publisher: | M.D.P.I.A.G. | ||||||
ISSN: | 1996-1073 | ||||||
Official Date: | 13 January 2017 | ||||||
Dates: |
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Volume: | 10 | ||||||
Number: | 1 | ||||||
Article Number: | 90 | ||||||
DOI: | 10.3390/en10010090 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Date of first compliant deposit: | 9 February 2017 | ||||||
Date of first compliant Open Access: | 9 February 2017 | ||||||
Funder: | Innovate UK, High Value Manufacturing Catapult, Jaguar Land Rover (Firm), Tata Motors | ||||||
Adapted As: | Received: 15 November 2016 / Revised: 31 December 2016 / Accepted: 3 January 2017 / Published: 13 January 2017 |
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