Abstract
This paper uses Fisher information to quantify the identifiability of internal resistance and charge capacity for a first-order nonlinear equivalent-circuit model of a lithium-ion battery undergoing periodic cycling. The paper derives analytic Cramér-Rao bounds on the variances with which a maximum-likelihood estimator can determine these parameters in the presence of white and Gaussian voltage measurement noise. This mathematical analysis shows that the challenge of battery parameter identifiability, already recognized in the literature for higher-order electrochemical battery models, is fundamentally present even for much simpler equivalent circuit models. The analysis also quantifies the degree to which the sensitivity of battery open-circuit voltage with respect to state of charge affects parameter identifiability. The paper serves as a first-cut analysis of the accuracy with which one can determine two battery state-of-health metrics - namely, power and capacity fade - from periodic cycling tests.
| Original language | English (US) |
|---|---|
| Title of host publication | 2014 American Control Conference, ACC 2014 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 274-280 |
| Number of pages | 7 |
| ISBN (Print) | 9781479932726 |
| DOIs | |
| State | Published - Jan 1 2014 |
| Event | 2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: Jun 4 2014 → Jun 6 2014 |
Publication series
| Name | Proceedings of the American Control Conference |
|---|---|
| ISSN (Print) | 0743-1619 |
Other
| Other | 2014 American Control Conference, ACC 2014 |
|---|---|
| Country | United States |
| City | Portland, OR |
| Period | 6/4/14 → 6/6/14 |
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All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
Cite this
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Fisher identifiability analysis for a periodically-excited equivalent-circuit lithium-ion battery model. / Sharma, Aabhas; Fathy, Hosam K.
2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 274-280 6859360 (Proceedings of the American Control Conference).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Fisher identifiability analysis for a periodically-excited equivalent-circuit lithium-ion battery model
AU - Sharma, Aabhas
AU - Fathy, Hosam K.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - This paper uses Fisher information to quantify the identifiability of internal resistance and charge capacity for a first-order nonlinear equivalent-circuit model of a lithium-ion battery undergoing periodic cycling. The paper derives analytic Cramér-Rao bounds on the variances with which a maximum-likelihood estimator can determine these parameters in the presence of white and Gaussian voltage measurement noise. This mathematical analysis shows that the challenge of battery parameter identifiability, already recognized in the literature for higher-order electrochemical battery models, is fundamentally present even for much simpler equivalent circuit models. The analysis also quantifies the degree to which the sensitivity of battery open-circuit voltage with respect to state of charge affects parameter identifiability. The paper serves as a first-cut analysis of the accuracy with which one can determine two battery state-of-health metrics - namely, power and capacity fade - from periodic cycling tests.
AB - This paper uses Fisher information to quantify the identifiability of internal resistance and charge capacity for a first-order nonlinear equivalent-circuit model of a lithium-ion battery undergoing periodic cycling. The paper derives analytic Cramér-Rao bounds on the variances with which a maximum-likelihood estimator can determine these parameters in the presence of white and Gaussian voltage measurement noise. This mathematical analysis shows that the challenge of battery parameter identifiability, already recognized in the literature for higher-order electrochemical battery models, is fundamentally present even for much simpler equivalent circuit models. The analysis also quantifies the degree to which the sensitivity of battery open-circuit voltage with respect to state of charge affects parameter identifiability. The paper serves as a first-cut analysis of the accuracy with which one can determine two battery state-of-health metrics - namely, power and capacity fade - from periodic cycling tests.
UR - http://www.scopus.com/inward/record.url?scp=84905695005&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84905695005&partnerID=8YFLogxK
U2 - 10.1109/ACC.2014.6859360
DO - 10.1109/ACC.2014.6859360
M3 - Conference contribution
AN - SCOPUS:84905695005
SN - 9781479932726
T3 - Proceedings of the American Control Conference
SP - 274
EP - 280
BT - 2014 American Control Conference, ACC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
ER -