Analysis of the transient state in RC_α circuit at periodic voltage excitation

• Autorzy: Jakubowska A. , Walczak J.
• Języki publikacji: EN

Abstrakty

EN

The paper describes the results of analysis of the transient state in a simple series RC_α circuit with supercapacitor. A simple fractional-order supercapacitor model has been introduced to the analysis. The considered system has been supplied by a periodic voltage source. Selected results of the simulation studies, carried out in Mathematica, Maple and PSpice have also been presented.

Słowa kluczowe

EN

fractional-order differential equation; transient state; supercapacitor

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2015
• Tom: Vol. 13
• Strony: 42--50
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Jakubowska A.

• Silesian University of Technology 44-100 Gliwice, ul. Bolesława Krzywoustego 2

autor

Walczak J.

• Silesian University of Technology 44-100 Gliwice, ul. Bolesława Krzywoustego 2

Bibliografia

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• [2] Gualous H., Bouquain D., Berthon A., Kaufmann J.M.: Experimental study of supercapacitor serial resistance and capacitance variations with temperature, Journal of Power Sources 123, 2003, pp. 86-93.
• [3] Yao Y.Y., Zhang D.L., Xu D.G.: A study of supercapacitor parameters and characteristics, International Conference on Power System Technology PowerCon 2006, 22-26 Oct, Chongqing, 2006, pp.1-4.
• [4] Podlubny I.: Fractional differential equations, Academic Press, San Diego, 1999.
• [5] Freeborn J.T., Maundy B., Elwakil A.S.: Measurement of supercapacitor fractional-order model parameters from voltage-excited step response, IEEE Journal on Emerging and Selected Topics in Circuits and Systems, Vol. 3, No. 3, September 2013, pp. 367-375.
• [6] El-Sayed A.M.A., Nour H.M.: Fractional parallel RLC circuit, Alexandria Journal of Mathematics, Vol. 3, No. 1, pp. 11 – 23, 2012.
• [7] Gómez F., Rosales J., and Guía M.: RLC electrical circuit of non-integer order. Central European Journal of Physics 11(10), 2013, pp. 1361-1365.
• [8] Jakubowska A., Walczak J.: Analysis of the transient state in circuit with supercapacitor, ZKwE 2015, 19-21 April, Poznań, 2015, vol.81, pp. 27-34.
• [9] Jakubowska A., Walczak J.: Transient state in simple RCα circuit, XXXVIII IC-SPETO, 20 - 23 May, Ustroń 2015, pp. 73-74.