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Simulation of the temperature distribution of lithium-ion battery module considering the time-delay effect of the porous electrodes

Author

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  • Lu, Xin
  • Chen, Ning
  • Li, Hui
  • Guo, Shiyu
  • Chen, Zengtao

Abstract

The porous electrodes have the fractal characteristics of self-similarity and discontinuity at the microscopic scale, which is an important physical condition in the fractional-order system. During the charging and discharging, the multiple heat transfer modes occur simultaneously on the porous electrodes. Due to the different heat transfer rates of various modes, the thermodynamics of batteries is essentially a discontinuous time-delay system, which cannot be ignored. A fractional-order heat transfer model (FOHTM) is proposed to analyze the time-delay effect of the lithium-ion battery module. The fractional derivative order (FDO) of the proposed model is identified. The temperature distribution of the tested battery module is simulated and the cooling system is optimized. The results indicate that the simulation accuracy of FOHTM is higher than that of the classical integer-order heat transfer model (IOHTM). The maximum error of transient temperature of FOHTM under various operating conditions is less than 1.1%. The FOHTM can approach the true temperature faster through updating the historical weighted terms. The FOHTM is a statistical analysis of non-standard thermal diffusion behavior under the action of multiple heat transfer modes, as a result of which, it is more suitable for the modeling of battery thermodynamics.

Suggested Citation

  • Lu, Xin & Chen, Ning & Li, Hui & Guo, Shiyu & Chen, Zengtao, 2023. "Simulation of the temperature distribution of lithium-ion battery module considering the time-delay effect of the porous electrodes," Energy, Elsevier, vol. 284(C).
    • Handle: RePEc:eee:energy:v:284:y:2023:i:c:s0360544223018522
    DOI: 10.1016/j.energy.2023.128458
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    as
    1. He, Xitian & Sun, Bingxiang & Zhang, Weige & Fan, Xinyuan & Su, Xiaojia & Ruan, Haijun, 2022. "Multi-time scale variable-order equivalent circuit model for virtual battery considering initial polarization condition of lithium-ion battery," Energy, Elsevier, vol. 244(PB).
    2. Dong, Ao & Ma, Ruifei & Deng, Yelin, 2023. "Optimization on charging of the direct hybrid lithium-ion battery and supercapacitor for high power application through resistance balancing," Energy, Elsevier, vol. 273(C).
    3. Jin, Xianrong & Duan, Xiting & Jiang, Wenjuan & Wang, Yan & Zou, Youlan & Lei, Weixin & Sun, Lizhong & Ma, Zengsheng, 2021. "Structural design of a composite board/heat pipe based on the coupled electro-chemical-thermal model in battery thermal management system," Energy, Elsevier, vol. 216(C).
    4. Stanisławski, Rafał & Kozioł, Kamil & Rydel, Marek, 2022. "Implementation of fractional-order difference via Takenaka-Malmquist functions," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    5. Li, Kuo & Gao, Xiao & Liu, Caixia & Chang, Chun & Li, Xiaoyu, 2023. "A novel Co-estimation framework of state-of-charge, state-of-power and capacity for lithium-ion batteries using multi-parameters fusion method," Energy, Elsevier, vol. 269(C).
    6. Vignesh, D. & He, Shaobo & Banerjee, Santo, 2023. "Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization," Applied Mathematics and Computation, Elsevier, vol. 455(C).
    7. Perez Estevez, Manuel Antonio & Calligaro, Sandro & Bottesi, Omar & Caligiuri, Carlo & Renzi, Massimiliano, 2021. "An electro-thermal model and its electrical parameters estimation procedure in a lithium-ion battery cell," Energy, Elsevier, vol. 234(C).
    8. Guo, Ruohan & Shen, Weixiang, 2022. "Online state of charge and state of power co-estimation of lithium-ion batteries based on fractional-order calculus and model predictive control theory," Applied Energy, Elsevier, vol. 327(C).
    9. Zhao, Dazhi & Luo, Maokang, 2019. "Representations of acting processes and memory effects: General fractional derivative and its application to theory of heat conduction with finite wave speeds," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 531-544.
    10. Ping, Ping & Wang, Qingsong & Chung, Youngmann & Wen, Jennifer, 2017. "Modelling electro-thermal response of lithium-ion batteries from normal to abuse conditions," Applied Energy, Elsevier, vol. 205(C), pages 1327-1344.
    11. Biju, Nikhil & Fang, Huazhen, 2023. "BattX: An equivalent circuit model for lithium-ion batteries over broad current ranges," Applied Energy, Elsevier, vol. 339(C).
    12. Perry, Jonathan & Jones, Timothy W. & Coronado, Juan M. & Donne, Scott W. & Bayon, Alicia, 2023. "Thermodynamic analysis of a novel two-step high temperature thermo-electrochemical water splitting cycle," Energy, Elsevier, vol. 276(C).
    13. Xu, Chengshan & Wang, Huaibin & Jiang, Fachao & Feng, Xuning & Lu, Languang & Jin, Changyong & Zhang, Fangshu & Huang, Wensheng & Zhang, Mengqi & Ouyang, Minggao, 2023. "Modelling of thermal runaway propagation in lithium-ion battery pack using reduced-order model," Energy, Elsevier, vol. 268(C).
    14. Dawahdeh, Ahmad I. & Al-Nimr, Moh'd.A., 2023. "A novel energy harvesting and battery thermal management in hybrid vehicles using a thermally regenerative electrochemical device," Energy, Elsevier, vol. 270(C).
    15. Li, Dongdong & Yang, Lin & Li, Chun, 2021. "Control-oriented thermal-electrochemical modeling and validation of large size prismatic lithium battery for commercial applications," Energy, Elsevier, vol. 214(C).
    16. Xia, Xue & Bai, Jing & Li, Xiaohe & Wen, Guoguang, 2023. "Containment control for fractional order MASs with nonlinearity and time delay via pull-based event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    17. Gao, Yizhao & Zhu, Chong & Zhang, Xi & Guo, Bangjun, 2021. "Implementation and evaluation of a practical electrochemical- thermal model of lithium-ion batteries for EV battery management system," Energy, Elsevier, vol. 221(C).
    18. Lybbert, M. & Ghaemi, Z. & Balaji, A.K. & Warren, R., 2021. "Integrating life cycle assessment and electrochemical modeling to study the effects of cell design and operating conditions on the environmental impacts of lithium-ion batteries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    19. Gao, Xinlei & Li, Yalun & Wang, Huizhi & Liu, Xinhua & Wu, Yu & Yang, Shichun & Zhao, Zhengming & Ouyang, Minggao, 2023. "Probing inhomogeneity of electrical-thermal distribution on electrode during fast charging for lithium-ion batteries," Applied Energy, Elsevier, vol. 336(C).
    20. Fernandez, Arran & Restrepo, Joel E. & Suragan, Durvudkhan, 2022. "On linear fractional differential equations with variable coefficients," Applied Mathematics and Computation, Elsevier, vol. 432(C).
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