Problems with modeling of fractional electrical circuits containing supercapacitors

• Autorzy: Piotrowska Ewa

Identyfikatory

DOI

10.21008/j.1897-0737.2020.104.0006

• Języki publikacji: EN

Abstrakty

EN

For proper operation, diagnostics or control, it is required to know the parameters of the supercapacitor replacement model (relationship between current and voltage at the terminals). The paper describe the bahavior of the eletrical circuit (RC) containing the supercapacitor were used the fractional derivatives of Caputo definiton and Conformable Fractional Derivative definition. Verification of the correctness of the suggested electrical circuit models was carried out a series of measurements of the system response to the given control signal. The measurement data were compared by fractionalorder derivatives: classical case, Caputo definition and CFD definition. Conducting a series of experiments with charging a supercapacitor in an RC circuit, constant control voltage from 2 V to 5 V with an exchanged external resistor, it was shown that none of the three mathematical models reflects the real behavior of the supercapacitor. It has been shown that the behavior of supercapacitor requires the use of different mathematical than fractional derivatives.

Słowa kluczowe

EN

fractional order system; electrical circuits containing supercapacitors; Caputo definition; Conformable Fractional Derivative definition

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2020
• Tom: No. 104
• Strony: 65--74
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Piotrowska Ewa

• Bialystok University of Technology

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).