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Estimation Method for SOH of Batteries Based on Wasserstein Distance
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Jingjie ZHAO  Member, CPSS1, 2, Conghui HU1
Journal of Power Supply | 2026, 24(8) : 140 - 150
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Journal of Power Supply | 2026, 24(8): 140-150
• Renewable Energy Generation and Energy Storage •
Estimation Method for SOH of Batteries Based on Wasserstein Distance
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Jingjie ZHAO  Member, CPSS1, 2, Conghui HU1
Affiliations
  • 1.Hebi Institute of Engineering and Technology, Henan Polytechnic University, Hebi 458030, China
  • 2.School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China
Published: 2026-08-30 doi: 10.13234/j.issn.2095-2805.2026.8.140
Outline
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The state-of-health (SOH) estimation of batteries is crucial for ensuring the safe and stable operation of energy storage systems. However, the methods which use fixed voltage segments as model inputs face limitations in practical applications due to varying user habits, and most of the studies based on incremental capacity (IC) analysis still face challenges in selecting the smoothing parameters. A sliding window smoothing method is proposed to obtain smooth IC curves while simplifying the parameter selection process in real-world applications. This method uses two complementary Wasserstein distance calculation methods to evaluate the differences between the target IC curves and reference curves, which serve as health feature (HF) and are combined with the corresponding starting voltages of voltage segments as model inputs. These inputs are further used to train a Gaussian process regression model. Test results indicate that the voltage segments at any position, even those that do not include the IC curve peak, can be used as model inputs to achieve SOH estimation results with a root mean square error (RMSE) below 2%. In addition, the effects of different smoothing parameters, sampling frequencies and estimation models on the estimation results are also analyzed. The analysis results indicate that the extracted HFs exhibit strong robustness, and the model achieves high estimation accuracy.

Incremental capacity (IC)  /  Wasserstein distance  /  partial charging data  /  state-of-health (SOH) estimation
赵靖杰中国电源学会会员, 胡聪慧. 基于Wasserstein距离的电池SOH估算方法. 电源学报, 2026 , 24 (8) : 140 -150 . DOI: 10.13234/j.issn.2095-2805.2026.8.140
Jingjie ZHAO, Conghui HU. Estimation Method for SOH of Batteries Based on Wasserstein Distance[J]. Journal of Power Supply, 2026 , 24 (8) : 140 -150 . DOI: 10.13234/j.issn.2095-2805.2026.8.140
Year 2026 volume 24 Issue 8
26
3
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Article Info
doi: 10.13234/j.issn.2095-2805.2026.8.140
  • Receive Date:2024-10-31
  • Online Date:2026-10-29
  • Published:2026-08-30
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History
  • Received:2024-10-31
  • Revised:2024-12-30
  • Accepted:2025-02-05
Affiliations
    1.Hebi Institute of Engineering and Technology, Henan Polytechnic University, Hebi 458030, China
    2.School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, 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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