Electronic realizations of fractional-order elements: II. Simulation studies

• Autorzy: Jakubowska A. , Szymczak M.
• Konferencja: Computer Applications in Electrical Engineering (18-19.04.2016 ; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper presents simulation studies on the synthesis 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. Firstly, a new method for fractional-order elements modeling in PSpice has been described, which involves the use of controlled voltage E or current G sources, defined in Analog Behavioral Modeling (ABM). An equivalence of the classic and proposed description of the fractional-order capacitor have been presented. For the GIC structure, two cases of the have been analyzed in the PSpice: first, with models of ideal operational amplifiers, modeled as controlled voltage sources, and the second with models of the real operational amplifiers, of type OPA549. The obtained frequency characteristics of an exemplary GIC structure with one fractionalorder element show big similarity for both types of models. The impact of different values of the parameter α and the type of the used real amplifier on the solution has been analyzed too.

Słowa kluczowe

EN

fractional-order inductance Lβ and capacitance Cα; generalized impedance converter; GIC; fractional-order element

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2016
• Tom: No. 85
• Strony: 149--159
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Jakubowska A.

• Silesian University of Technology

autor

Szymczak M.

• Silesian University of Technology

Bibliografia

• [1] Jakubowska A., Walczak J., Electronic realizations of fractional-order elements: I. Synthesis of the arbitrary order elements, Poznan University of Technology Academic Journals: Electrical Engineering, 2016 (in print).
• [2] 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.
• [3] Jakubowska A., Walczak J., Analysis of the transient state in a circuit with supercapacitor, Poznań University of Technology Academic Journals Electrical Engineering, 2015, pp. 27-34.
• [4] Jakubowska A., Walczak J., Analysis of the transient state in RC_α circuit at periodic voltage excitation, In monograph: "Computer Applications in Electrical Engineering", Poznan University of Technology Publishing, vol. 12, 2015 (in print).
• [5] Web page: http://www.ti.com/lit/ds/symlink/opa549.pdf from 10.01.2016.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.