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Health evaluation for in-service electric vehicle battery pack with recursive Gaussian process

Author

Listed:
  • Liu, Hongao
  • Zheng, Yusheng
  • Che, Yunhong
  • Li, Jinwen
  • Pan, Yongjun
  • Hu, Xiaosong

Abstract

Accurate and reliable state-of-health (SOH) estimation of lithium-ion batteries plays a vital role in the operations and maintenance of electric vehicles. Despite numerous SOH estimation methods developed under lab conditions, implementing these methods in real-world applications can be significantly challenging. In particular, the wide range of usage scenarios and lower data quality bring challenges to the feature engineering, model development, and online updating. The large-scale, continuously updated on-road electric vehicle (EV) data demands estimation models with stronger generalization capabilities and higher update efficiency. To address these issues, this article proposes a novel SOH estimation framework for in-service EVs based on feature extraction and recursive Gaussian process regression. First, capacity labels and corresponding features are extracted from field datasets covering two different battery chemistries. An interpretable selection method is used to select those key features with high contribution while reducing feature redundancy. Subsequently, a recursive Gaussian Process framework combining offline modeling with online updating is proposed for reliable and accurate SOH estimation. Two different kernel functions are used to model stationary and nonstationary dynamical processes. The Matérn kernel is employed to capture locally stationary degradation dynamics with adjustable smoothness, while the Wiener kernel models non-stationary cumulative aging trends, achieving superior accuracy on field data from EVs. The proposed framework is validated against field data with two types of batteries, achieving MAPEs of only 1.76 % and 2.71 % on independent validation sets, demonstrating its superior accuracy and effectiveness compared with conventional Gaussian Process and neural network-based transfer learning approaches, which highlights its potential for large-scale deployment in on-road EVs.

Suggested Citation

  • Liu, Hongao & Zheng, Yusheng & Che, Yunhong & Li, Jinwen & Pan, Yongjun & Hu, Xiaosong, 2025. "Health evaluation for in-service electric vehicle battery pack with recursive Gaussian process," Energy, Elsevier, vol. 341(C).
  • Handle: RePEc:eee:energy:v:341:y:2025:i:c:s0360544225050224
    DOI: 10.1016/j.energy.2025.139380
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    References listed on IDEAS

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    1. Jiahuan Lu & Rui Xiong & Jinpeng Tian & Chenxu Wang & Fengchun Sun, 2023. "Deep learning to estimate lithium-ion battery state of health without additional degradation experiments," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    2. 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.
    3. Zhou, Zihao & Aitio, Antti & Howey, David, 2025. "Learning Li-ion battery health and degradation modes from data with aging-aware circuit models," Applied Energy, Elsevier, vol. 397(C).
    4. Penelope K. Jones & Ulrich Stimming & Alpha A. Lee, 2022. "Impedance-based forecasting of lithium-ion battery performance amid uneven usage," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    5. Fujin Wang & Zhi Zhai & Zhibin Zhao & Yi Di & Xuefeng Chen, 2024. "Physics-informed neural network for lithium-ion battery degradation stable modeling and prognosis," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    6. Hongao Liu & Chang Li & Xiaosong Hu & Jinwen Li & Kai Zhang & Yang Xie & Ranglei Wu & Ziyou Song, 2025. "Multi-modal framework for battery state of health evaluation using open-source electric vehicle data," Nature Communications, Nature, vol. 16(1), pages 1-12, December.
    7. Che, Yunhong & Deng, Zhongwei & Li, Penghua & Tang, Xiaolin & Khosravinia, Kavian & Lin, Xianke & Hu, Xiaosong, 2022. "State of health prognostics for series battery packs: A universal deep learning method," Energy, Elsevier, vol. 238(PB).
    8. Shengyu Tao & Ruifei Ma & Zixi Zhao & Guangyuan Ma & Lin Su & Heng Chang & Yuou Chen & Haizhou Liu & Zheng Liang & Tingwei Cao & Haocheng Ji & Zhiyuan Han & Minyan Lu & Huixiong Yang & Zongguo Wen & J, 2024. "Generative learning assisted state-of-health estimation for sustainable battery recycling with random retirement conditions," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    9. Yunwei Zhang & Qiaochu Tang & Yao Zhang & Jiabin Wang & Ulrich Stimming & Alpha A. Lee, 2020. "Identifying degradation patterns of lithium ion batteries from impedance spectroscopy using machine learning," Nature Communications, Nature, vol. 11(1), pages 1-6, December.
    10. Alexis Geslin & Le Xu & Devi Ganapathi & Kevin Moy & William C. Chueh & Simona Onori, 2025. "Dynamic cycling enhances battery lifetime," Nature Energy, Nature, vol. 10(2), pages 172-180, February.
    11. Ruihe Li & Niall D. Kirkaldy & Fabian F. Oehler & Monica Marinescu & Gregory J. Offer & Simon E. J. O’Kane, 2025. "The importance of degradation mode analysis in parameterising lifetime prediction models of lithium-ion battery degradation," Nature Communications, Nature, vol. 16(1), pages 1-10, December.
    12. Dmitry V. Pelegov & Jean-Jacques Chanaron, 2022. "Electric Car Market Analysis Using Open Data: Sales, Volatility Assessment, and Forecasting," Sustainability, MDPI, vol. 15(1), pages 1-15, December.
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