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Peukert Generalized Equations Applicability with Due Consideration of Internal Resistance of Automotive-Grade Lithium-Ion Batteries for Their Capacity Evaluation

Author

Listed:
  • Nataliya N. Yazvinskaya

    (Department of Cybersecurity of Information Systems, Don State Technical University, 344000 Rostov-on-Don, Russia)

  • Mikhail S. Lipkin

    (Department of Chemical Technologies, Platov South-Russian State Polytechnic University, 346428 Novocherkassk, Russia)

  • Nikolay E. Galushkin

    (Laboratory of Electrochemical and Hydrogen Energy, Don State Technical University, 346500 Shakhty, Russia)

  • Dmitriy N. Galushkin

    (Laboratory of Electrochemical and Hydrogen Energy, Don State Technical University, 346500 Shakhty, Russia)

Abstract

In this paper, the applicability of the Peukert equation and its generalizations were investigated for capacity evaluation of automotive-grade lithium-ion batteries. It is proved that the classical Peukert equation is applicable within the range of the discharge currents from 0.2 C n to 2 C n ( C n is the nominal battery capacity). As a rule, the operating currents of many automotive-grade lithium-ion batteries are exactly within this range of the discharge currents. That is why, successfully, the classical Peukert equation is used in many analytical models developed for these batteries. The generalized Peukert equation C = C m /(1 + ( i / i 0) n ) is applicable within the discharge currents range from zero to approximately 10C n . All kinds of operating discharge currents (including both very small ones and powerful short-term bursts) fall into this discharge currents range. The modified Peukert equation C = C m (1 − i / i 1)/((1 − i / i 1) + ( i / i 0) n ) is applicable at any discharge currents. This equation takes into account the battery’s internal resistance and has the smallest error of experimental data approximation. That is why the discussed modified Peukert equation is most preferable for use in analytical models of automotive-grade lithium-ion batteries. The paper shows that all the parameters of the generalized Peukert equations have a clear electrochemical meaning in contrast to the classical Peukert equation, where all the parameters are just empirical constants.

Suggested Citation

  • Nataliya N. Yazvinskaya & Mikhail S. Lipkin & Nikolay E. Galushkin & Dmitriy N. Galushkin, 2022. "Peukert Generalized Equations Applicability with Due Consideration of Internal Resistance of Automotive-Grade Lithium-Ion Batteries for Their Capacity Evaluation," Energies, MDPI, vol. 15(8), pages 1-11, April.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:8:p:2825-:d:792621
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    References listed on IDEAS

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    1. He, Yao & Liu, XingTao & Zhang, ChenBin & Chen, ZongHai, 2013. "A new model for State-of-Charge (SOC) estimation for high-power Li-ion batteries," Applied Energy, Elsevier, vol. 101(C), pages 808-814.
    2. Zubi, Ghassan & Dufo-López, Rodolfo & Carvalho, Monica & Pasaoglu, Guzay, 2018. "The lithium-ion battery: State of the art and future perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 89(C), pages 292-308.
    3. Hannan, M.A. & Lipu, M.S.H. & Hussain, A. & Mohamed, A., 2017. "A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 834-854.
    4. He, Hongwen & Zhang, Xiaowei & Xiong, Rui & Xu, Yongli & Guo, Hongqiang, 2012. "Online model-based estimation of state-of-charge and open-circuit voltage of lithium-ion batteries in electric vehicles," Energy, Elsevier, vol. 39(1), pages 310-318.
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    Cited by:

    1. Fabian Steger & Jonathan Krogh & Lasantha Meegahapola & Hans-Georg Schweiger, 2022. "Calculating Available Charge and Energy of Lithium-Ion Cells Based on OCV and Internal Resistance," Energies, MDPI, vol. 15(21), pages 1-23, October.

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