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Remaining Useful Life Prediction for Lithium-ion Batteries Based on ER-ELM Model
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Zaojin NIE1, Xiaoxia HE1, 2, Chuanju WU1
Journal of Power Supply | 2026, 24(3) : 249 - 258
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Journal of Power Supply | 2026, 24(3): 249-258
• AI and Power Electronics •
Remaining Useful Life Prediction for Lithium-ion Batteries Based on ER-ELM Model
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Zaojin NIE1, Xiaoxia HE1, 2, Chuanju WU1
Affiliations
  • 1.College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
  • 2.Hubei Key Laboratory for Systems Science in Metallurgical Processes, Wuhan University of Science and Technology, Wuhan 430081, China
Published: 2026-03-30 doi: 10.13234/j.issn.2095-2805.2026.3.249
Outline
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Capacity and impedance are usually used as direct characteristics to determine the health status of lithium-ion batteries, but they cannot be easily measured in a direct manner. Aimed at the problem of remaining useful life (RUL) prediction for lithium-ion batteries, an indirect prediction method based on expectile regression (ER) is proposed. First, several indirect health indicators which can characterize the performance decline of batteries are extracted from the charging process of batteries, and the correlations with capacity are analyzed using the Pearson and Spearman correlation analysis method. Second, a novel ER-extreme machine learning (ER-ELM) model is developed by combining with ELM. The BFGS quasi-Newton method is introduced to optimize the parameters of the ER-ELM model, and a lithium-ion battery RUL prediction model is established. Finally, the model is verified using the CALCE lithium-ion battery data set. Results show that compared with the standard ELM model, the ER-ELM model has stable output of prediction results, the maximum root mean square error of prediction results is 0.028 9, and all the values of goodness of fit are above 98%, indicating a better performance in terms of tracking capacity decline and regeneration.

Lithium-ion battery  /  remaining useful life (RUL)  /  expectile regression  /  extreme learning machine (ELM)  /  quasi-Newton method
聂灶金, 何晓霞, 吴传菊. 基于ER-ELM模型的锂离子电池剩余使用寿命预测. 电源学报, 2026 , 24 (3) : 249 -258 . DOI: 10.13234/j.issn.2095-2805.2026.3.249
Zaojin NIE, Xiaoxia HE, Chuanju WU. Remaining Useful Life Prediction for Lithium-ion Batteries Based on ER-ELM Model[J]. Journal of Power Supply, 2026 , 24 (3) : 249 -258 . DOI: 10.13234/j.issn.2095-2805.2026.3.249
  • Hubei Key Laboratory for Systems Science in Metallurgical Processes(Y202201)
Year 2026 volume 24 Issue 3
34
4
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Article Info
doi: 10.13234/j.issn.2095-2805.2026.3.249
  • Receive Date:2023-05-08
  • Online Date:2026-10-29
  • Published:2026-03-30
Article Data
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History
  • Received:2023-05-08
  • Revised:2023-08-24
  • Accepted:2023-11-21
Funding
Hubei Key Laboratory for Systems Science in Metallurgical Processes(Y202201)
Affiliations
    1.College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
    2.Hubei Key Laboratory for Systems Science in Metallurgical Processes, Wuhan University of Science and Technology, Wuhan 430081, 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
total species (%)
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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