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Multi timescale battery modeling: Integrating physics insights to data-driven model

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  • Desai, Tushar
  • Gallo, Alexander J.
  • Ferrari, Riccardo M.G.

Abstract

Developing accurate models for batteries, capturing ageing effects and nonlinear behaviors, is critical for the development of efficient and effective performance. Due to the inherent difficulties in developing physics-based models, data-driven techniques have been gaining popularity. However, most machine learning methods are black boxes, lacking interpretability and requiring large amounts of labeled data. In this paper, we propose a physics-informed encoder–decoder model that learns from unlabeled data to separate slow-changing battery states, such as state of charge (SOC) and state of health (SOH), from fast transient responses, thereby increasing interpretability compared to conventional methods. By integrating physics-informed loss functions and modified architectures, we map the encoder output to quantifiable battery states, without needing explicit SOC and SOH labels. Our proposed approach is validated on a lithium-ion battery ageing dataset capturing dynamic discharge profiles that aim to mimic electric vehicle driving profiles. The model is trained and validated on sparse intermittent cycles (6 %–7 % of all cycles), accurately estimating SOC and SOH while providing accurate multistep ahead voltage predictions across single and multiple-cell based training scenarios.

Suggested Citation

  • Desai, Tushar & Gallo, Alexander J. & Ferrari, Riccardo M.G., 2025. "Multi timescale battery modeling: Integrating physics insights to data-driven model," Applied Energy, Elsevier, vol. 393(C).
  • Handle: RePEc:eee:appene:v:393:y:2025:i:c:s0306261925007706
    DOI: 10.1016/j.apenergy.2025.126040
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    References listed on IDEAS

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    1. Li, J. & Adewuyi, K. & Lotfi, N. & Landers, R.G. & Park, J., 2018. "A single particle model with chemical/mechanical degradation physics for lithium ion battery State of Health (SOH) estimation," Applied Energy, Elsevier, vol. 212(C), pages 1178-1190.
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    5. Wu, Lifeng & Zhang, Yu, 2023. "Attention-based encoder-decoder networks for state of charge estimation of lithium-ion battery," Energy, Elsevier, vol. 268(C).
    6. Zhao, Hongqian & Chen, Zheng & Shu, Xing & Shen, Jiangwei & Liu, Yonggang & Zhang, Yuanjian, 2023. "Multi-step ahead voltage prediction and voltage fault diagnosis based on gated recurrent unit neural network and incremental training," Energy, Elsevier, vol. 266(C).
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    Cited by:

    1. Xinghao Huang & Shengyu Tao & Chen Liang & Yining Tang & Jiawei Chen & Junzhe Shi & Yuqi Li & Bizhong Xia & Guangmin Zhou & Xuan Zhang, 2026. "iMOE: prediction of second-life battery degradation trajectory using interpretable mixture of experts," Nature Communications, Nature, vol. 17(1), pages 1-14, December.
    2. Wang, Yaxuan & Guo, Shilong & Cui, Yue & Deng, Liang & Zhao, Lei & Li, Junfu & Wang, Zhenbo, 2025. "A comprehensive review of machine learning-based state of health estimation for lithium-ion batteries: data, features, algorithms, and future challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 224(C).

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