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State of Health Estimation of Lithium-ion Batteries Based on Relaxation Voltage and BO-DNN
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Peide XU1, Kang LIU2, Longyun KANG2, 3, Huaiyuan WANG4
Journal of Power Supply | 2026, 24(7) : 163 - 172
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Journal of Power Supply | 2026, 24(7): 163-172
• Renewable Energy Generation and Energy Storage •
State of Health Estimation of Lithium-ion Batteries Based on Relaxation Voltage and BO-DNN
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Peide XU1, Kang LIU2, Longyun KANG2, 3, Huaiyuan WANG4
Affiliations
  • 1.School of Power Engineering, Fujian Polytechnic of Water Conservancy and Electric Power, Yongan 366000, China
  • 2.School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
  • 3.College of New Energy, Longdong University, Qingyang 745000, China
  • 4.College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350116, China
Published: 2026-07-30 doi: 10.13234/j.issn.2095-2805.2026.7.163
Outline
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Accurate state of health (SOH) estimation is crucial for the safe operation of lithium-ion batteries. However, the complex cycling conditions and random initial charging state of lithium-ion batteries make the inputs of most existing methods unable to be satisfied. To address this problem, we propose an end-to-end SOH estimation method based on relaxation voltage. This method directly establishes the nonlinear relationship between relaxation voltage and SOH using a Bayesian optimization-assisted deep feedforward neural network (BO-DNN), eliminating the laborious feature extraction process. The performance of the estimation method was verified on three different battery aging datasets. The results show that the model achieves a root mean square error (RMSE) of 0.011 0 on the dataset used for model building. A transfer learning model developed by fine-tuning the basic model only relies on less than 3.5% training data, and it achieves an RMSE of less than 0.016 3 on the datasets used for model validation.

State of health estimation  /  lithium-ion battery  /  relaxation voltage  /  Bayesian optimization  /  deep feedforward neural network
许培德, 刘康, 康龙云, 王怀远. 基于弛豫电压和BO-DNN的锂离子电池健康状态估计. 电源学报, 2026 , 24 (7) : 163 -172 . DOI: 10.13234/j.issn.2095-2805.2026.7.163
Peide XU, Kang LIU, Longyun KANG, Huaiyuan WANG. State of Health Estimation of Lithium-ion Batteries Based on Relaxation Voltage and BO-DNN[J]. Journal of Power Supply, 2026 , 24 (7) : 163 -172 . DOI: 10.13234/j.issn.2095-2805.2026.7.163
  • Guangdong Basic and Applied Basic Research Foundation(2022A1515140009)
  • Natural Science Foundation of Fujian Province(2022J01113)
Year 2026 volume 24 Issue 7
41
7
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Article Info
doi: 10.13234/j.issn.2095-2805.2026.7.163
  • Receive Date:2024-07-30
  • Online Date:2026-10-29
  • Published:2026-07-30
Article Data
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History
  • Received:2024-07-30
  • Revised:2024-09-25
  • Accepted:2024-10-26
Funding
Guangdong Basic and Applied Basic Research Foundation(2022A1515140009)
Natural Science Foundation of Fujian Province(2022J01113)
Affiliations
    1.School of Power Engineering, Fujian Polytechnic of Water Conservancy and Electric Power, Yongan 366000, China
    2.School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
    3.College of New Energy, Longdong University, Qingyang 745000, China
    4.College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350116, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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