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Joint Online Estimation of SOC and SOH for Lithium Batteries Based on Fractional-order Models
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Hui WANG1, Huan YAN1, Xiaobin ZHANG2, Yuanyuan YUE1, Xiangdong SUN2
Journal of Power Supply | 2025, 23(2) : 256 - 265
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Journal of Power Supply | 2025, 23(2): 256-265
• Battery and Energy Storage •
Joint Online Estimation of SOC and SOH for Lithium Batteries Based on Fractional-order Models
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Hui WANG1, Huan YAN1, Xiaobin ZHANG2, Yuanyuan YUE1, Xiangdong SUN2
Affiliations
  • 1 Economic and Technological Research Institute, State Grid Shaanxi Electric Power Co., Ltd., Xi’an 710065, China
  • 2 School of Electrical Engineering, Xi’an University of Technology, Xi’an 710054, China
Published: 2025-03-30 doi: 10.13234/j.issn.2095-2805.2025.2.256
Outline
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The accurate estimation of the state-of-charge (SOC) and state-of-health (SOH) of lithium-ion batteries is always a key scientific prob-lem that needs to be solved urgently. In this paper, based on a second-order fractional-order equivalent circuit model, the state space equation of a lithium-ion battery is established, and the discretization expressions of fractional-order differential and integral equations of battery parameters and SOC are derived. Then, a dual fractional-order extended Kalman filter method is studied to estimate the equivalent circuit parameters, SOC and battery capacity simultaneously. In addition, a time weighting sequence method based on estimated SOC and battery capacity is proposed, different discharge currents and cumulative time are monitored, and the available capacity of the battery is calculated online, thus achieving real-time estimation of the SOH of the battery at any discharge depth and any discharge rate. Finally, under the conditions of dynamic stress test, three lithium iron phosphate batteries of the same manufacturer, the same model and different aging degrees were used for experimental verification.

Lithium-ion battery  /  fractional-order model  /  dual fractional-order extended Kalman filter  /  time weighting sequence method
Hui WANG, Huan YAN, Xiaobin ZHANG, Yuanyuan YUE, Xiangdong SUN. Joint Online Estimation of SOC and SOH for Lithium Batteries Based on Fractional-order Models[J]. Journal of Power Supply, 2025 , 23 (2) : 256 -265 . DOI: 10.13234/j.issn.2095-2805.2025.2.256
Funding
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  • Science and Technology Project of State Grid Shaanxi Electric Power Co., Ltd.(SGSNJY00GPJS2200015)
  • National Natural Science Foundation of China(52477196)
  • Xi’an Science and Technology Project(24GXFW0067)
Appendix
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Year 2025 volume 23 Issue 2
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Article Info
doi: 10.13234/j.issn.2095-2805.2025.2.256
  • Receive Date：2023-06-21
  • Online Date：2025-07-01
  • Published：2025-03-30
Article Data
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History
  • Received：2023-06-21
  • Revised：2023-10-21
  • Accepted：2023-10-29
Funding
Science and Technology Project of State Grid Shaanxi Electric Power Co., Ltd.(SGSNJY00GPJS2200015)
National Natural Science Foundation of China(52477196)
Xi’an Science and Technology Project(24GXFW0067)
Affiliations
    1 Economic and Technological Research Institute, State Grid Shaanxi Electric Power Co., Ltd., Xi’an 710065, China
    2 School of Electrical Engineering, Xi’an University of Technology, Xi’an 710054, China
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Citations
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
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Percentage of
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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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