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Remaining useful life prediction of lithium-ion battery with nonparametric degradation modeling and incomplete data

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  • Li, Naipeng
  • Wang, Mingyang
  • Lei, Yaguo
  • Yang, Bin
  • Li, Xiang
  • Si, Xiaosheng

Abstract

The accurate and reliable prediction of remaining useful life (RUL) plays a crucial role in ensuring the safe operation of batteries. Most existing RUL prediction methods are based on complete and dense monitoring data. However, in real-world applications, monitoring data often exhibit incompleteness, i.e., sparse data or fragment data, especially in intricate and harsh operating conditions, which brings great challenges to the accurate RUL prediction of batteries. A nonparametric degradation modeling method has been proposed in our previous work to deal with the RUL prediction issue using fragment data. The basic idea is to construct a state-dependent degradation model automatically driven by the degradation data via functional principal component analysis (FPCA). This method transforms the RUL prediction issues into an iterative optimization problem. This paper further develops this nonparametric degradation modeling method and apply it into the RUL prediction of lithium-ion batteries with incomplete data. The major enhancements are as follows. A new Pseudo-Huber loss function is employed in the gradient descent optimization to improve the accuracy of RUL prediction. An iterative optimization algorithm combined with Bayesian updating is proposed to estimate the distribution of functional principal component (FPC) scores, which provides the uncertainty of the RUL instead of only providing the point estimation. The proposed method is evaluated using the Toyota-MIT-Stanford battery experimental data. The results demonstrate that the proposed method provides more accurate and reliable prediction results than other prognostic methods.

Suggested Citation

  • Li, Naipeng & Wang, Mingyang & Lei, Yaguo & Yang, Bin & Li, Xiang & Si, Xiaosheng, 2025. "Remaining useful life prediction of lithium-ion battery with nonparametric degradation modeling and incomplete data," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
  • Handle: RePEc:eee:reensy:v:256:y:2025:i:c:s0951832024007920
    DOI: 10.1016/j.ress.2024.110721
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    References listed on IDEAS

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    1. Rensheng Zhou & Nagi Gebraeel & Nicoleta Serban, 2012. "Degradation modeling and monitoring of truncated degradation signals," IISE Transactions, Taylor & Francis Journals, vol. 44(9), pages 793-803.
    2. Meng, Fanbing & Yang, Fangfang & Yang, Jun & Xie, Min, 2023. "A power model considering initial battery state for remaining useful life prediction of lithium-ion batteries," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    3. Ardeshiri, Reza Rouhi & Liu, Ming & Ma, Chengbin, 2022. "Multivariate stacked bidirectional long short term memory for lithium-ion battery health management," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    4. Fang, Xiaolei & Paynabar, Kamran & Gebraeel, Nagi, 2017. "Multistream sensor fusion-based prognostics model for systems with single failure modes," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 322-331.
    5. Li, Naipeng & Wang, Mingyang & Lei, Yaguo & Si, Xiaosheng & Yang, Bin & Li, Xiang, 2024. "A nonparametric degradation modeling method for remaining useful life prediction with fragment data," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    6. Zhang, Shuyi & Zhai, Qingqing & Li, Yaqiu, 2023. "Degradation modeling and RUL prediction with Wiener process considering measurable and unobservable external impacts," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    7. Wang, Yuan & Lei, Yaguo & Li, Naipeng & Yan, Tao & Si, Xiaosheng, 2023. "Deep multisource parallel bilinear-fusion network for remaining useful life prediction of machinery," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    8. Kristen A. Severson & Peter M. Attia & Norman Jin & Nicholas Perkins & Benben Jiang & Zi Yang & Michael H. Chen & Muratahan Aykol & Patrick K. Herring & Dimitrios Fraggedakis & Martin Z. Bazant & Step, 2019. "Data-driven prediction of battery cycle life before capacity degradation," Nature Energy, Nature, vol. 4(5), pages 383-391, May.
    9. Zio, Enrico, 2022. "Prognostics and Health Management (PHM): Where are we and where do we (need to) go in theory and practice," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    10. Liu, Jie & Hou, Bingchang & Lu, Ming & Wang, Dong, 2024. "Box-Cox transformation based state-space modeling as a unified prognostic framework for degradation linearization and RUL prediction enhancement," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    11. Zhang, Qisong & Yang, Lin & Guo, Wenchao & Qiang, Jiaxi & Peng, Cheng & Li, Qinyi & Deng, Zhongwei, 2022. "A deep learning method for lithium-ion battery remaining useful life prediction based on sparse segment data via cloud computing system," Energy, Elsevier, vol. 241(C).
    12. Yao, Fang & Muller, Hans-Georg & Wang, Jane-Ling, 2005. "Functional Data Analysis for Sparse Longitudinal Data," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 577-590, June.
    13. Cheng, Yujie & Lu, Chen & Li, Tieying & Tao, Laifa, 2015. "Residual lifetime prediction for lithium-ion battery based on functional principal component analysis and Bayesian approach," Energy, Elsevier, vol. 90(P2), pages 1983-1993.
    14. Pan, Rui & Yang, Duo & Wang, Yujie & Chen, Zonghai, 2020. "Health degradation assessment of proton exchange membrane fuel cell based on an analytical equivalent circuit model," Energy, Elsevier, vol. 207(C).
    15. Lin, Yan-Hui & Chang, Liang & Guan, Lu-Xin, 2024. "Enhanced stochastic recurrent hybrid model for RUL Predictions via Semi-supervised learning," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    16. Xiaolei Fang & Hao Yan & Nagi Gebraeel & Kamran Paynabar, 2021. "Multi-sensor prognostics modeling for applications with highly incomplete signals," IISE Transactions, Taylor & Francis Journals, vol. 53(5), pages 597-613, February.
    17. Lin, Chun Pang & Ling, Man Ho & Cabrera, Javier & Yang, Fangfang & Yu, Denis Yau Wai & Tsui, Kwok Leung, 2021. "Prognostics for lithium-ion batteries using a two-phase gamma degradation process model," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
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