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State of Health Prediction of Pure Electric Vehicle Batteries Based on Patch Wavelet Transformer

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  • Min Wei

    (School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China
    Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China
    Technical Development Center, SAIC, General Wuling Automobile Co., Ltd., Liuzhou 545007, China
    These authors contributed equally to this work as co-first authors.)

  • Siquan Yuan

    (School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China
    Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China
    These authors contributed equally to this work as co-first authors.)

  • Lin Chen

    (School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China
    Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China)

  • Yuhang Liu

    (School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China
    Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China)

  • Jie Hu

    (School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China
    Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China)

Abstract

The accuracy of onboard power battery capacity prediction is often limited due to excessive reliance on laboratory data and the neglect of complex usage environments. To address this issue, a Transformer-based model, named PWT, which integrates a patching strategy with wavelet decomposition, is proposed. By utilizing multi-scale temporal feature extraction and attention mechanisms, the model effectively enhances the capability of battery degradation modeling. To tackle the challenge of limited capacity label availability, a fuzzy Kalman filtering model based on ampere-hour integration is designed, reducing the relative error in SOH estimation to 0.906% and significantly improving label accuracy. Furthermore, a charging behavior scoring mechanism based on fuzzy membership functions and a current–temperature interaction feature matrix is constructed to enhance the model’s sensitivity to degradation factors. Experimental results show that the proposed method outperforms LSTM, Transformer, and PatchTST under various real-world operating conditions, achieving a worst-case RMSE of 0.0226, MAPE of 0.0725, and R 2 of 0.903, demonstrating higher accuracy, robustness, and computational efficiency. In conclusion, the proposed method exhibits promising prospects in both theoretical research and engineering applications, providing a novel and effective approach to power battery health management.

Suggested Citation

  • Min Wei & Siquan Yuan & Lin Chen & Yuhang Liu & Jie Hu, 2025. "State of Health Prediction of Pure Electric Vehicle Batteries Based on Patch Wavelet Transformer," Mathematics, MDPI, vol. 13(13), pages 1-26, June.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2099-:d:1688004
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    References listed on IDEAS

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    1. Cheng, Gong & Wang, Xinzhi & He, Yurong, 2021. "Remaining useful life and state of health prediction for lithium batteries based on empirical mode decomposition and a long and short memory neural network," Energy, Elsevier, vol. 232(C).
    2. Ly, Sel & Xie, Jiahang & Wolter, Franz-Erich & Nguyen, Hung D. & Weng, Yu, 2023. "T-shape data and probabilistic remaining useful life prediction for Li-ion batteries using multiple non-crossing quantile long short-term memory," Applied Energy, Elsevier, vol. 349(C).
    3. Xiaoqiong Pang & Rui Huang & Jie Wen & Yuanhao Shi & Jianfang Jia & Jianchao Zeng, 2019. "A Lithium-ion Battery RUL Prediction Method Considering the Capacity Regeneration Phenomenon," Energies, MDPI, vol. 12(12), pages 1-14, June.
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