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Electronic realizations of fractional-order elements: I. Synthesis of the arbitrary order elements

Treść / Zawartość
Identyfikatory
Warianty tytułu
Konferencja
Computer Applications in Electrical Engineering (18-19.04.2016 ; Poznań, Polska)
Języki publikacji
EN
Abstrakty
EN
The paper presents a synthesis method of new fractional-order elements, using classic fractional-order components, such as supercapacitors and real coils with ferromagnetic cores. These new fractional-order elements have been realized using a generalized impedance converter GIC. Two cases have been analyzed in the paper: first, with only one fractional-order element being a load impedance of the generalized impedance converter, and second, with two fractional-order elements - one being a part of the structure of the GIC and the second being the load impedance. The derived relations are illustrated by simulation examples for the circuit. The impact of different values of the parameter α on the solution of the considered problem has been analyzed too.
Rocznik
Tom
Strony
137--148
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
  • Silesian University of Technology
autor
  • Silesian University of Technology
Bibliografia
  • [1] Elwakil A.S., Fractional-order circuits and systems: an emerging disciplinary research area, IEEE Circuits Syst. Mag, vol. 10, no. 4, 2010, pp. 40-50.
  • [2] Nelatury S.R., Sigh P., Extracting equivalent circuit parameters of lead-acid cells form sparse impedance measurements , Journal of Power Sources, Vol. 112, No. 2, 2002, pp. 621-625.
  • [3] Hsu N.Y., Yen S.C., Jeng K.T., Chien C.C., Impedance studies and modelling of direct methanol fuel cell anode with interface and porous structure perspectives, Journal of Power Sources, vol. 161, no. 1, 2006, pp. 232-239.
  • [4] Maundy B., Elwakil A., Gift S., On the realization of multiphase oscillators using fractional-order allpass filters, Circuits, Systems & Signal Processing, no. 31, 2012, pp. 3-17.
  • [5] Ahmad W., El-Khazali R., Elwakil A.S., Fractional-order Wien bridge oscillator, Electr. Lett., vol. 37, no 11, 2001, pp. 1110-1112.
  • [6] Rafik F., Gualous H., Gallay Y., Frequency, thermal and voltage supercapacitor characterisation and modelling, Journal of Power Sources, Vol. 165, March 2007, pp. 928-934.
  • [7] Burke A., Ultracapacitors, why, how and where is the technology, Journal of Power Sources, Vol. 91, 2000, pp. 37-50.
  • [8] Schafer J., Kruger K., Modeling of coils using fractional derivatives, Journal of Magnetism and Magnetic Materials, Vol. 307, 2006, pp. 91-98.
  • [9] Shi L., Comparison of ultracapacitor electric circuit models, IEEE Power and Energy Society General Meeting, Pittsburgh, 20-24 July, 2008, pp.1-6.
  • [10] Bruton L.T., A transistor realisation of the generalized impedance converter, The Radio and Electr. Eng., vol. 42, no 3, 1972, pp. 133-136.
  • [11] Antoniu A., Realization of gyrators using operational amplifiers, IEEE Proc., vol. 116, no 11, 1969, pp. 1838-1850.
  • [12] Igbal A.K., Muslim T.A., Niger M., Generalized impedance converters with only transconductance elements and grounded capacitors, Active and Passive Electr. Comp., vol. 25, 2002, pp. 265-269.
  • [13] Semani R., Floating GNIC configuration with only single OMA, Electr. Lett., vol. 31, no. 6, 1995, pp. 423-425.
  • [14] Chan-Li H., Rokie V., Wei-Yu W., Novel floating impedance converter using CCIIT, 21st Int. Conf. on Microelectronics, MIEL'97, Yugoslavia, 14-17 Sept, 1997, vol. 2, pp. 763-765.
  • [15] Eswaran C., Rameshwaran K., A new realization method for multidimensional GIC digital filters, IEEE Tran. on CAS, Fund. Theory and Appl., vol. 49, no. 1, 2002, pp. 66-69.
  • [16] Tripathy M.Ch., Mondal D., Biswak K., Sen S., Experimental studies on realization of fractional inductors and fractional-order bandpass filters, International Journal on Circuit Theory and Application, no. 43, 2015, pp. 1183-1196.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7713e281-bb7d-4179-9309-7edf6198e508
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