Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions

• Autorzy: Piotrowska E.

Identyfikatory

DOI

10.24425/aee.2018.124740

• Języki publikacji: EN

Abstrakty

EN

An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations. The paper used the definition of the integral derivative Caputo and CDF conformable fractional definition. An electrical circuit solution using Caputo and CDF definitions for rectangular with zero initial conditions was developed. The results obtained using the Caputo and CDF definitions were compared. The solutions are shown for capacitor voltages, for fractional derivative orders of 0.6, 0.8, 1. The results were compared using graphs.

Słowa kluczowe

EN

fractional order system; Caputo definition; conformable fractional definition; fractional electrical circuit

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2018
• Tom: Vol. 67, nr 4
• Strony: 789--802
• Opis fizyczny: Bibliogr. 18 poz., rys., wz.

Twórcy

autor

Piotrowska E.

• Faculty of Electrical Engineering, Bialystok University of Technology Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).