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Novel Time Method of Identification of Fractional Model Parameters of Supercapacitor

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  • Miroslaw Lewandowski

    (Electric Traction Division, Power Engineering Institute, Warsaw University of Technology, Koszykowa Str., 75 00-662 Warsaw, Poland)

  • Marek Orzylowski

    (Electric Traction Division, Power Engineering Institute, Warsaw University of Technology, Koszykowa Str., 75 00-662 Warsaw, Poland
    This author is currently retired.)

Abstract

Accurate dynamic models of supercapacitors (SCs) are a basis for the design, control and exploitation of the hybrid energy storage systems for electric vehicles. This paper concerns a fractional model of SC impedance, based on the Cole–Cole equation describing relaxation in electric double layer. This article provides a new method of identifying the parameters of fractional order model of SC impedance, performed without disconnecting the SC module from the energy storage system. The test drive for this purpose needs only the respect a few simple recommendations. The article presents the conditions of the mentioned test drive that will ensure the frequency spectra of the recorded signals lying in the bandwidth necessary for the correct identification of the model parameters. These parameters are determined by means of the Nelder–Mead simplex optimization method. The results of the identification described by the time method coincide with those obtained in the frequency domain. It has been shown in the last part of the article that the real energy losses in these systems significantly exceed the losses determined only on the basis of the nominal capacity and series equivalent resistance (ESR), to which the SC catalogue data are usually limited. This paper also provides an auxiliary frequency criterion for the selection of SCs intended for energy storage systems of electric vehicles.

Suggested Citation

  • Miroslaw Lewandowski & Marek Orzylowski, 2020. "Novel Time Method of Identification of Fractional Model Parameters of Supercapacitor," Energies, MDPI, vol. 13(11), pages 1-17, June.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:11:p:2877-:d:367513
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    References listed on IDEAS

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    1. Henry Miniguano & Andrés Barrado & Cristina Fernández & Pablo Zumel & Antonio Lázaro, 2019. "A General Parameter Identification Procedure Used for the Comparative Study of Supercapacitors Models," Energies, MDPI, vol. 12(9), pages 1-20, May.
    2. Sajib Chakraborty & Hai-Nam Vu & Mohammed Mahedi Hasan & Dai-Duong Tran & Mohamed El Baghdadi & Omar Hegazy, 2019. "DC-DC Converter Topologies for Electric Vehicles, Plug-in Hybrid Electric Vehicles and Fast Charging Stations: State of the Art and Future Trends," Energies, MDPI, vol. 12(8), pages 1-43, April.
    3. Cong Zhang & Dai Wang & Bin Wang & Fan Tong, 2020. "Battery Degradation Minimization-Oriented Hybrid Energy Storage System for Electric Vehicles," Energies, MDPI, vol. 13(1), pages 1-21, January.
    4. Wieczorek, Maciej & Lewandowski, Mirosław, 2017. "A mathematical representation of an energy management strategy for hybrid energy storage system in electric vehicle and real time optimization using a genetic algorithm," Applied Energy, Elsevier, vol. 192(C), pages 222-233.
    5. Zhang, Lei & Hu, Xiaosong & Wang, Zhenpo & Sun, Fengchun & Dorrell, David G., 2018. "A review of supercapacitor modeling, estimation, and applications: A control/management perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P2), pages 1868-1878.
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