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Rapid Estimation Method for State of Charge of Lithium-Ion Battery Based on Fractional Continual Variable Order Model

Author

Listed:
  • Xin Lu

    (Department of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China)

  • Hui Li

    (Microvast Power Systems Co., Ltd., Huzhou 313000, China)

  • Jun Xu

    (Department of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China)

  • Siyuan Chen

    (Department of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China)

  • Ning Chen

    (Department of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China)

Abstract

In recent years, the fractional order model has been employed to state of charge (SOC) estimation. The non integer differentiation order being expressed as a function of recursive factors defining the fractality of charge distribution on porous electrodes. The battery SOC affects the fractal dimension of charge distribution, therefore the order of the fractional order model varies with the SOC at the same condition. This paper proposes a new method to estimate the SOC. A fractional continuous variable order model is used to characterize the fractal morphology of charge distribution. The order identification results showed that there is a stable monotonic relationship between the fractional order and the SOC after the battery inner electrochemical reaction reaches balanced. This feature makes the proposed model particularly suitable for SOC estimation when the battery is in the resting state. Moreover, a fast iterative method based on the proposed model is introduced for SOC estimation. The experimental results showed that the proposed iterative method can quickly estimate the SOC by several iterations while maintaining high estimation accuracy.

Suggested Citation

  • Xin Lu & Hui Li & Jun Xu & Siyuan Chen & Ning Chen, 2018. "Rapid Estimation Method for State of Charge of Lithium-Ion Battery Based on Fractional Continual Variable Order Model," Energies, MDPI, vol. 11(4), pages 1-18, March.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:4:p:714-:d:137474
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    References listed on IDEAS

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    1. Kang, LiuWang & Zhao, Xuan & Ma, Jian, 2014. "A new neural network model for the state-of-charge estimation in the battery degradation process," Applied Energy, Elsevier, vol. 121(C), pages 20-27.
    2. Renxin Xiao & Jiangwei Shen & Xiaoyu Li & Wensheng Yan & Erdong Pan & Zheng Chen, 2016. "Comparisons of Modeling and State of Charge Estimation for Lithium-Ion Battery Based on Fractional Order and Integral Order Methods," Energies, MDPI, vol. 9(3), pages 1-15, March.
    3. Yang, Fangfang & Xing, Yinjiao & Wang, Dong & Tsui, Kwok-Leung, 2016. "A comparative study of three model-based algorithms for estimating state-of-charge of lithium-ion batteries under a new combined dynamic loading profile," Applied Energy, Elsevier, vol. 164(C), pages 387-399.
    4. Daming Zhou & Ke Zhang & Alexandre Ravey & Fei Gao & Abdellatif Miraoui, 2016. "Parameter Sensitivity Analysis for Fractional-Order Modeling of Lithium-Ion Batteries," Energies, MDPI, vol. 9(3), pages 1-26, February.
    5. Caiping Zhang & Jiuchun Jiang & Weige Zhang & Suleiman M. Sharkh, 2012. "Estimation of State of Charge of Lithium-Ion Batteries Used in HEV Using Robust Extended Kalman Filtering," Energies, MDPI, vol. 5(4), pages 1-18, April.
    6. Xiangwei Guo & Longyun Kang & Yuan Yao & Zhizhen Huang & Wenbiao Li, 2016. "Joint Estimation of the Electric Vehicle Power Battery State of Charge Based on the Least Squares Method and the Kalman Filter Algorithm," Energies, MDPI, vol. 9(2), pages 1-16, February.
    7. Zou, Yuan & Li, Shengbo Eben & Shao, Bing & Wang, Baojin, 2016. "State-space model with non-integer order derivatives for lithium-ion battery," Applied Energy, Elsevier, vol. 161(C), pages 330-336.
    8. Xiaoyu Li & Kai Song & Guo Wei & Rengui Lu & Chunbo Zhu, 2015. "A Novel Grouping Method for Lithium Iron Phosphate Batteries Based on a Fractional Joint Kalman Filter and a New Modified K-Means Clustering Algorithm," Energies, MDPI, vol. 8(8), pages 1-26, July.
    9. Ng, Kong Soon & Moo, Chin-Sien & Chen, Yi-Ping & Hsieh, Yao-Ching, 2009. "Enhanced coulomb counting method for estimating state-of-charge and state-of-health of lithium-ion batteries," Applied Energy, Elsevier, vol. 86(9), pages 1506-1511, September.
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    Cited by:

    1. Chengcheng Chang & Yanping Zheng & Yang Yu, 2020. "Estimation for Battery State of Charge Based on Temperature Effect and Fractional Extended Kalman Filter," Energies, MDPI, vol. 13(22), pages 1-24, November.

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