The DOI matches its Crossref record; 39 of the 40 references it cites were found in a registry or an index.
Data-driven state of charge estimation for lithium-ion battery packs based on Gaussian process regression
Abstract
Abstract Since a battery pack consists of hundreds of cells in series and parallel, inconsistencies between cells make it difficult to create an explicit model to simulate its behaviors effectively. Therefore, the widely used and sophisticated model-based methods (such as Kalman filters) are difficult to apply to SOC (state of charge) estimation of battery packs. In this paper, a data-driven method based on Gaussian process regression (GPR) is proposed to provide a feasible solution. Its superiority includes the ability to approximate nonlinearity accurately, nonparametric modeling, and probabilistic predictions. First, a feature extraction strategy, including data preprocessing, correlation analysis, and principal component analysis, is employed to obtain a compacted input set with a high correlation with SOC. Second, the squared exponential kernel function is used, and the automatic relevance determination is applied to optimize the weights of features. Third, besides the regular GPR model, an autoregressive GPR model is also constructed to further improve estimation accuracy and confidence. The experimental results verify that the autoregressive model has better SOC estimation performance than the regular model, and its estimation error under different dynamic cycles, temperatures, aging conditions, and even extreme conditions is lower than 3.9%, and the confidence interval is also much narrower.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Some methodologies, including fuzzy adaptive federated filtering[125] and GPR[60], have been developed to address these challenges.”
From Advancements in the estimation of the state of charge of lithium-ion battery: a comprehensive review of traditional and deep learning approaches (2025) · cites this paper as [60]
Citations
Cites
Gaussian Processes for Machine Learning
Rasmussen, C. E., & Williams, C. K. I. (2005) · doi:10.7551/mitpress/3206.001.0001 · Cited by 11,705
A review on the key issues for lithium-ion battery management in electric vehicles
Lu, L., Han, X., Li, J., Hua, J., & Ouyang, M. (2013) · Journal of Power Sources · doi:10.1016/j.jpowsour.2012.10.060 · Cited by 4,837
Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs
Plett, G. L. (2004) · Journal of Power Sources · doi:10.1016/j.jpowsour.2004.02.033 · Cited by 1,768
A tutorial on Gaussian process regression: modelling, exploring, and exploiting functions
Schulz, E., Speekenbrink, M., & Krause, A. (2018) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2018.03.001 · Cited by 1,735
Data-driven health estimation and lifetime prediction of lithium-ion batteries: A review
Li, Y., Liu, K., Foley, A. M., Zülke, A., Berecibar, M., Nanini-Maury, E., Van Mierlo, J., & Hoster, H. E. (2019) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2019.109254 · Cited by 1,193
Waag, W., Fleischer, C., & Sauer, D. U. (2014) · Journal of Power Sources · doi:10.1016/j.jpowsour.2014.02.064 · Cited by 1,059
Xing, Y., He, W., Pecht, M., & Tsui, K. L. (2014) · Applied Energy · doi:10.1016/j.apenergy.2013.07.008 · Cited by 977
State estimation for advanced battery management: Key challenges and future trends
Hu, X., Feng, F., Liu, K., Zhang, L., Xie, J., & Liu, B. (2019) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2019.109334 · Cited by 857
Self-citationYang, D., Zhang, X., Pan, R., Wang, Y., & Chen, Z. (2018) · Journal of Power Sources · doi:10.1016/j.jpowsour.2018.03.015 · Cited by 765
Data Preprocessing For Supervised Leaning
Kotsiantis, S. B., Kanellopoulos, D. N., & Pintelas, P. (2007) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.1082415 · Cited by 669
Research works printed but not linked: 2
- Plett GL. Efficient battery pack state estimation using bar-delta filtering. Conference Efficient battery pack state estimation using bar-delta filtering.
- Liu X, He Y, Chen Z. State-of-Charge estimation for power Li-ion battery pack using V min-EKF. Conference State-of-Charge estimation for power Li-ion battery pack using V min-EKF. IEEE, p. 27-31.
Cited by
Sorted by citations
Items 401–423 of 423
Luo, R., Yang, R., Yang, H., & Huang, W. (2026) · World Electric Vehicle Journal · doi:10.3390/wevj17050257
Barcellona, S., Colnago, S., & Codecasa, L. (2026) · Energies · doi:10.3390/en19102273
Filtering techniques for lithium-ion battery state of health and remaining useful life prediction
Ibrahim, M., Hasan, M. Z., Salman, M., Lipu, M. S. H., Sarker, I. A., Ansari, S., & Bordin, C. (2026) · npj Thermal Science and Engineering · doi:10.1038/s44435-026-00010-9
Lin, H., Chen, X., (38117), L. Z., Bao, Z., & Tang, S. (2026) · PLoS ONE · doi:10.1371/journal.pone.0350331
Sun, L., Wang, Z., & Sun, S. (2026) · IEEE Sensors Journal · doi:10.1109/jsen.2026.3698637
State of Charge Estimation of Lithium-Ion Batteries Using the Window Attention Sinks Transformer
Liu, C., Zheng, Z., & Xu, G. (2026) · Batteries · doi:10.3390/batteries12070234
Das, O., Zafar, M. H., Rudra, S., & Sanfilippo, F. (2026) · Energy Reports · doi:10.1016/j.egyr.2026.109544
Di, Z., Qin, L., Deng, W., Guo, X., Ning, Y., & Ma, T. (2026) · Ionics · doi:10.1007/s11581-026-07359-5
Zhang, B., Wu, R., Liu, W., Xie, Y., Li, C., & Zhang, K. (2026) · Applied Energy · doi:10.1016/j.apenergy.2026.128380
Uncertainty management in data-driven state estimation: Taxonomy, methods, and battery applications
Kim, G., Jung, J. J., Gu, Y., Yuan, W., & Camacho, D. (2026) · Information Fusion · doi:10.1016/j.inffus.2026.104642
Yu, S., Cao, Y., Li, C., Cao, J., & Liu, M. (2026) · Journal of Energy Storage · doi:10.1016/j.est.2026.123677
Thejus, R., & Ganesan, S. (2026) · Scientific Reports · doi:10.1038/s41598-026-62508-0
Liu, W., Xie, Y., Dong, H., Wang, L., Jiang, A., & Xia, Y. (2026) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2026.3716483
Redouani, A., Zared, K., & Idrissi, N. E. A. E. (2026) · Journal of Energy Storage · doi:10.1016/j.est.2026.123816
Xiong, R., Qu, L., Wang, J. V., Gong, Z., Wang, Q., & Kang, J. (2026) · Batteries · doi:10.3390/batteries12080293
Zhang, J. M., Peng, J., Hänisch, J., Zhang, S., Shi, S., Zhang, C., Cai, F., Yan, G., & Yong, Z. (2026) · Journal of Low Temperature Physics · doi:10.1007/s10909-026-03455-y
Orellana-Iñiguez, J. P., Gallo, W. L. R., & Almeida, M. (2026) · Eletrônica de Potência · doi:10.18618/rep.e202626
Tu, H., Cheng, F., Li, M., & Wen, Y. (2026) · Journal of Energy Storage · doi:10.1016/j.est.2026.124616
Li, X., Yang, X., Yi, B., Qiu, Y., Liu, Y., & Son, Q. (2026) · Sustainable Energy Technologies and Assessments · doi:10.1016/j.seta.2026.105451
Kabasakaloğlu, I., Taşkın, S., & Demirci, O. (2026) · International Conference on Smart Energy Systems and Technologies (SEST) · doi:10.1109/sest67798.2026.11712422
Ma, L., Tian, S., Ma, H., Sun, W., Tian, J., Hu, C., Guo, S., Guo, Q., & Zhang, T. (2026) · Journal of Energy Storage · doi:10.1016/j.est.2026.125046
Sang, J., Hong, Z., Yi, Z., Xu, W., Lin, S., Wan, X., Xu, W., & Zhao, H. (2026) · World Electric Vehicle Journal · doi:10.3390/wevj17100548
Metadata
- Authors
- Deng, Z., Hu, X., Lin, X., Che, Y., Xu, L., & Guo, W.
- Affiliations
- Chongqing University (CN)
- Ontario Tech University (CA)
- Shanghai Jiao Tong University (CN)
- Corresponding author
- Hu, Xiaosong
- Lin, Xianke
- Venue
- Energy
- Publisher
- Elsevier BV
- Published
- 2020-08
- Volume
- 205
- Pages
- 118000
- ISSN
- 0360-5442 (ISSN-L)
- OpenAlex
- W3033613562
- Semantic Scholar
- a491ddd78e3d1e5acaa49684b5aa2f2270b68d97
- Cited by
- 423
- References
- 40
- Citations by year
- 2026: 42 · 2025: 79 · 2024: 70 · 2023: 70 · 2022: 77 · 2021: 73 · 2020: 12
- FWCI
- 21.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Energy (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission
- National Natural Science Foundation of China
- Topics
- Physical Sciences › Engineering › Automotive Engineering › Battery Modeling and Management
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Computer Science › Artificial Intelligence › Gaussian Processes and Bayesian Inference
- Keywords
- state of charge estimation, lithium-ion battery packs, Gaussian process regression, data-driven estimation, cell inconsistency, feature extraction, principal component analysis, automatic relevance determination, Gaussian kernel, autoregressive models, probabilistic forecasting, battery degradation, temperature effects
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review