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

• Autorzy: Piotrowska Ewa

Identyfikatory

DOI

10.21008/j.1897-0737.2019.97.0014

• Konferencja: Computer Applications in Electrical Engineering (15-16.04.2019 ; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

This paper presents the fractional electrical circuit in the transient state described by the fractional-order state-space equations. General solutions to the fractional state-space equations containing two types of definitions of fractional derivative: Caputo definition and the conformable fractional derivative definition are given the solutions in the case of: 1) control in the form of sine function at zero initial states 2) control in the form of cosine function at zero initial states 3) control in the form of the sine function with phase shift at zero initial states. The solutions are shown for capacitor voltages for fractional derivative orders of 0.7; 0.8; 1.0. The results were compared using graphs.

Słowa kluczowe

EN

fractional order system; Sinusoidal Signals; Caputo definition; conformable fractional derivative definition; fractional electrical circuit

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2019
• Tom: No. 97
• Strony: 155--167
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Piotrowska Ewa

• Bialystok University of Technology

Bibliografia

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Uwagi

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