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Machine learning-driven time series analysis for SOH prediction of lithium-ion batteries
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  • Published: 14 April 2026

Machine learning-driven time series analysis for SOH prediction of lithium-ion batteries

  • Yunlong Zhang1,2,3,
  • Xiaolei Bi1,2,3,
  • Shiqiang Wang1,2,3 &
  • …
  • Bin Tao1,2,3 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Batteries
  • Energy storage

Abstract

Energy storage batteries are essential for stabilizing renewable energy systems and improving power grid efficiency. However, challenges such as capacity degradation, limited data quality, and the need for real-time evaluation highlight the importance of accurate State of Health (SOH) prediction. This study evaluates the effectiveness of Random Forest, Long Short-Term Memory (LSTM), and Bidirectional Long Short-Term Memory (Bi-LSTM) models in predicting SOH across single lithium-ion cells, cells under environmental influence, and battery modules. The Bi-LSTM model achieved a Mean Absolute Error of 0.00668, a Mean Squared Error of 0.0042, and an R2 value of 0.9253 in single-cell prediction. In comparison, the Random Forest model recorded a Mean Absolute Error of 0.0523, a Mean Squared Error of 0.0159 and an R2 of 0.8960, indicating a reduction in error of over 69% and a significant improvement in predictive accuracy. Incorporating physically meaningful features such as discharge time and plateau voltage further enhanced model performance. These results demonstrate the Bi-LSTM model’s strong ability to capture long-term temporal dependencies and its potential for improving intelligent battery health monitoring in real-world energy storage systems.

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Data availability

The datasets generated and analysed during the current study are not publicly available due the confidentiality of the data used but are available from the corresponding author on reasonable request.

References

  1. Xie, J. & Lu, Y. A retrospective on lithium-ion batteries. Nat. Commun. 11, 2499 (2020).

    Google Scholar 

  2. Mo, R. et al. Tin-graphene tubes as anodes for lithium-ion batteries with high volumetric and gravimetric energy densities. Nat. Commun. 11, 1374 (2020).

    Google Scholar 

  3. Vignesh, S. et al. State of health (SoH) Estimation methods for second life lithium-ion battery—review and challenges. Appl. Energy. 369, 123542 (2024).

    Google Scholar 

  4. Chen, G. et al. State-of-health estimation for lithium-ion batteries based on Kullback–Leibler divergence and a retentive network. Appl. Energy 376, 124266 (2024).

  5. Ng, S. S. Y., Xing, Y. & Tsui, K. L. A Naive Bayes model for robust remaining useful life prediction of lithium-ion battery. Appl. Energy. 118, 114–123 (2014).

    Google Scholar 

  6. Wang, X. et al. State of health estimation for lithium-ion batteries using random forest and gated recurrent unit. J. Energy Storage. 76, 109796 (2024).

    Google Scholar 

  7. Cai, N. et al. A deep learning framework for the joint prediction of the SOH and RUL of lithium-ion batteries based on bimodal images. Energy 302, 131700 (2024).

    Google Scholar 

  8. Gong, Q., Wang, P. & Cheng, Z. An encoder-decoder model based on deep learning for state of health Estimation of lithium-ion battery. J. Energy Storage. 46, 103804 (2022).

    Google Scholar 

  9. Zhang, Y. et al. A deep learning approach to estimate the state of health of lithium-ion batteries under varied and incomplete working conditions. J. Energy Storage. 58, 106323 (2023).

    Google Scholar 

  10. Hou, J. et al. Spatial simulation and prediction of air temperature based on CNN-LSTM. Appl. Artif. Intell. 37, 2166235 (2023).

    Google Scholar 

  11. Zhang, Q. et al. Attention-based spatial-temporal graph transformer for traffic flow forecasting. Neural Comput. Appl. 35, 21827–21839 (2023).

    Google Scholar 

  12. Wang, B. et al. Generalizing aggregation functions in gnns: Building high capacity and robust GNNs via nonlinear aggregation. IEEE Trans. Pattern Anal. Mach. Intell. 45, 13454–13466 (2023).

    Google Scholar 

  13. Cui, S. et al. The correlation between statistical descriptors of heterogeneous materials. Comput. Methods Appl. Mech. Eng. 384, 113948 (2021).

    Google Scholar 

  14. Wang, Y., Yang, H. & He, P. Continuous wavelet analysis of matter clustering using the Gaussian-derived wavelet. Astrophys. J. 934, 77 (2022).

    Google Scholar 

  15. Yang, L. et al. Learning transferred weights from co-occurrence data for heterogeneous transfer learning. IEEE Trans. Neural Netw. Learn. Syst. 27, 2187–2200 (2016).

  16. Zhang, Q. et al. Interpretable CNNs for object classification. IEEE Trans. Industr. Inf. 43, 3416–3431 (2021).

    Google Scholar 

  17. Jin, L., Li, S. & Hu, B. RNN models for dynamic matrix inversion: a control-theoretical perspective. IEEE Trans. Industr. Inf. 14, 189–199 (2018).

    Google Scholar 

  18. Pepe, S. & Ciucci, F. Long-range battery state-of-health and end-of-life prediction with neural networks and feature engineering. Appl. Energy. 350, 121761 (2023).

    Google Scholar 

  19. He, W. et al. Progress in prediction of remaining useful life of hydrogen fuel cells based on deep learning. Renew. Sustain. Energy Rev. 192, 114193 (2024).

    Google Scholar 

  20. Lei Ren, H. et al. A lightweight group Transformer-Based time series reduction network for edge intelligence and its application in industrial RUL prediction. IEEE Trans. Neural Netw. Learn. Syst. 36, 3720–3729 (2025).

    Google Scholar 

  21. Nuhic, A. et al. Health diagnosis and remaining useful life prognostics of lithium-ion batteries using data-driven methods. J. Power Sources. 239, 680–388 (2013).

    Google Scholar 

  22. Ma, S., Hou, X. & Luo, M. Joint prediction of the state of health and remaining useful life for lithium-ion batteries based on wrapper Cascade-Stacking. J. Energy Storage. 112, 115563 (2025).

    Google Scholar 

  23. Feng, H. & Li, N. A multi-feature fusion model based on differential thermal capacity for prediction of the health status of lithium-ion batteries. J. Energy Storage. 72, 108419 (2023).

    Google Scholar 

  24. Sun, J., Fan, C. & Yan, H. SOH Estimation of lithium-ion batteries based on multi-feature deep fusion and XGBoost. Energy 306, 1324229 (2024).

    Google Scholar 

  25. Lin, C. et al. Multi-model ensemble learning for battery state-of-health estimation: recent advances and perspectives. J. Energy Chem. 100, 739–759 (2025).

    Google Scholar 

  26. Yu, J. et al. Online state-of-health prediction of lithium-ion batteries with limited labeled data. Int. J. Energy Res. 20, 1–16 (2020).

    Google Scholar 

  27. Yan, Y. et al. Spatial distribution-based imbalanced undersampling. IEEE Trans. Knowl. Data Eng. 35, 6376–6391 (2023).

    Google Scholar 

  28. Yang, Y. et al. Privacy-preserving cost-sensitive learning. IEEE Trans. Neural Netw. Learn. Syst. 32, 2105–2116 (2021).

    Google Scholar 

  29. Sawada, S. et al. Toward the design of graft-type proton exchange membranes with high proton conductivity and low water uptake: a machine learning study. J. Membr. Sci. 692, 122169 (2024).

    Google Scholar 

  30. Zhang, J., Okin, G. S. & Zhou, B. Assimilating optical satellite remote sensing images and field data to predict surface indicators in the Western U.S.: Assessing error in satellite predictions based on large geographical datasets with the use of machine learning. Remote Sens. Environ. 233, 111382 (2019).

  31. Tian, Y. et al. Dynamic cross-sectional temperature imaging from LAS labeled electrical tomography. IEEE Trans. Instrum. Meas. 14, 4503911 (2024).

    Google Scholar 

  32. Xue, J. et al. Predictive modeling of nitrogen and phosphorus concentrations in rivers using a machine learning framework: a case study in an urban-rural transitional area in Wenzhou China. Sci. Total Environ. 910, 168521 (2024).

    Google Scholar 

  33. Luo, S. et al. Combining hyperspectral imagery and lidar pseudo-waveform for predicting crop LAI, canopy height and above-ground biomass. Ecol. Ind. 102, 801–812 (2019).

    Google Scholar 

  34. Liu, Y. et al. Estimating biomass of winter oilseed rape using vegetation indices and texture metrics derived from UAV multispectral images. Comput. Electron. Agric. 166, 105026 (2019).

    Google Scholar 

  35. Hou, B. & Zhou, Z. Learning with interpretable structure from gated RNN. IEEE Trans. Neural Netw. Learn. Syst. 13, 2267–2279 (2020).

    Google Scholar 

  36. Vural, N. M. et al. Achieving online regression performance of LSTMs with simple RNNs. IEEE Trans. Neural Netw. Learn. Syst. 17, 7632–7643 (2021).

    Google Scholar 

  37. Yu, W., Gonzalez, J. & Li, X. Fast training of deep LSTM networks with guaranteed stability for nonlinear system modeling. Neurocomputing 422, 85–94 (2021).

    Google Scholar 

  38. Sahin, S. O. & Kozat, S. S. Nonuniformly sampled data processing using LSTM networks. IEEE Trans. Neural Netw. Learn. Syst. 30, 1452–1461 (2018).

    Google Scholar 

  39. Kim, J. et al. Transfer learning applying electrochemical degradation indicator combined with long short-term memory network for flexible battery state-of-health Estimation. eTransportation 18, 100293 (2023).

    Google Scholar 

  40. Wu, M. et al. Spatio-temporal difference analysis in climate change topics and sentiment orientation: based on LDA and BiLSTM model. Resourc. Conserv. Recycl. 188, 106697 (2023).

  41. Nadimi, R. & Goto, M. A novel decision support system for enhancing long-term forecast accuracy in virtual power plants using bidirectional long short-term memory networks. Appl. Energy. 382, 125273 (2025).

    Google Scholar 

  42. Xie, W. et al. Variational autoencoder bidirectional long and short-term memory neural network soft-sensor model based on batch training strategy. IEEE Trans. Industr. Inf. 17, 5325–5334 (2020).

    Google Scholar 

  43. Li, K. et al. A novel short-term multi-energy load forecasting method for integrated energy system based on feature separation-fusion technology and improved CNN. Appl. Energy. 351, 121823 (2023).

    Google Scholar 

  44. Joseph, L. P. et al. Short-term wind speed forecasting using an optimized three-phase convolutional neural network fused with bidirectional long short-term memory network model. Appl. Energy. 359, 122624 (2024).

    Google Scholar 

  45. Chien, S-H., Sencer, B. & Ward, R. Accurate prediction of machining cycle times and feedrates with deep neural networks using BiLSTM. J. Manuf. Syst. 68, 680–686 (2023).

    Google Scholar 

  46. Ghimire, S. et al. Explainable deeply-fused Nets electricity demand prediction model: factoring climate predictors for accuracy and deeper insights with probabilistic confidence interval and point-based forecasts. J. Manuf. Syst. 378, 124763 (2025).

    Google Scholar 

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Acknowledgements

The authors declare that no external funding or financial support was received for this research.

Author information

Authors and Affiliations

  1. State Key Laboratory of Chemical Safety, Qingdao, 266000, Shandong, China

    Yunlong Zhang, Xiaolei Bi, Shiqiang Wang & Bin Tao

  2. SINOPEC Research Institute of Safety Engineering Co., Ltd., Qingdao, 266000, Shandong, China

    Yunlong Zhang, Xiaolei Bi, Shiqiang Wang & Bin Tao

  3. National Registration Center for Chemicals, Ministry of Emergency Management, Qingdao, 266000, Shandong, China

    Yunlong Zhang, Xiaolei Bi, Shiqiang Wang & Bin Tao

Authors
  1. Yunlong Zhang
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  2. Xiaolei Bi
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  3. Shiqiang Wang
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  4. Bin Tao
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Contributions

Y. Zhang wrote the main manuscript text.X. Bi, S. Wang and B. Tao prepared Figs. 1, 2, 3, 4, 5 and 6. All authors reviewed the manuscript.

Corresponding author

Correspondence to Yunlong Zhang.

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The authors declare no competing interests.

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Cite this article

Zhang, Y., Bi, X., Wang, S. et al. Machine learning-driven time series analysis for SOH prediction of lithium-ion batteries. Sci Rep (2026). https://doi.org/10.1038/s41598-025-33725-w

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  • Received: 26 March 2025

  • Accepted: 22 December 2025

  • Published: 14 April 2026

  • DOI: https://doi.org/10.1038/s41598-025-33725-w

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Keywords

  • Lithium-ion battery
  • State of health
  • Machine learning
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