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A Comparison of Time-Domain Implementation Methods for Fractional-Order Battery Impedance Models

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  • Brian Ospina Agudelo

    (Dipartimento di Ingegneria dell’Informazione ed Elettrica e Matematica Applicata DIEM, Università degli Studi di Salerno, 84084 Fisciano, Italy
    Laboratoire SATIE, CY Cergy Paris Université, 95000 Neuville-sur-Oise, France)

  • Walter Zamboni

    (Dipartimento di Ingegneria dell’Informazione ed Elettrica e Matematica Applicata DIEM, Università degli Studi di Salerno, 84084 Fisciano, Italy)

  • Eric Monmasson

    (Laboratoire SATIE, CY Cergy Paris Université, 95000 Neuville-sur-Oise, France)

Abstract

This paper is a comparative study of the multiple RC, Oustaloup and Grünwald–Letnikov approaches for time domain implementations of fractional-order battery models. The comparisons are made in terms of accuracy, computational burden and suitability for the identification of impedance parameters from time-domain measurements. The study was performed in a simulation framework and focused on a set of ZARC elements, representing the middle frequency range of Li-ion batteries’ impedance. It was found that the multiple RC approach offers the best accuracy–complexity compromise, making it the most interesting approach for real-time battery simulation applications. As for applications requiring the identification of impedance parameters, the Oustaloup approach offers the best compromise between the goodness of the obtained frequency response and the accuracy–complexity requirements.

Suggested Citation

  • Brian Ospina Agudelo & Walter Zamboni & Eric Monmasson, 2021. "A Comparison of Time-Domain Implementation Methods for Fractional-Order Battery Impedance Models," Energies, MDPI, vol. 14(15), pages 1-23, July.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:15:p:4415-:d:598989
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    References listed on IDEAS

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    Cited by:

    1. Oliver Stark & Marius Eckert & Albertus Johannes Malan & Sören Hohmann, 2022. "Fractional Systems’ Identification Based on Implicit Modulating Functions," Mathematics, MDPI, vol. 10(21), pages 1-24, November.
    2. Julian Estaller & Anton Kersten & Manuel Kuder & Torbjörn Thiringer & Richard Eckerle & Thomas Weyh, 2022. "Overview of Battery Impedance Modeling Including Detailed State-of-the-Art Cylindrical 18650 Lithium-Ion Battery Cell Comparisons," Energies, MDPI, vol. 15(10), pages 1-21, May.
    3. Maria Carmela Di Piazza, 2021. "Energy Management Systems for Optimal Operation of Electrical Micro/Nanogrids," Energies, MDPI, vol. 14(24), pages 1-3, December.

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