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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.
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“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]
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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 ›
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