Analysis of Fractional Electrical Circuit with Sinusoidal Input Signal Using Caputo And Conformable Derivative Definitions

Ewa Piotrowska

Abstract

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..
Author Ewa Piotrowska (FEE)
Ewa Piotrowska,,
- Faculty of Electrical Engineering
Journal seriesPoznan University of Technology Academic Journals. Electrical Engineering, ISSN 1897-0737, (0 pkt)
Issue year2019
Vol97
Pages155-167
Publication size in sheets0.6
ConferenceZastosowanie Komputerów w Elektrotechnice (ZKwE 2019), 15-04-2019 - 16-04-2019, Poznań, Polska
Keywords in Englishfractional order system, Sinusoidal Signals, Caputo definition, conformable fractional derivative definition, fractional electrical circuit
DOIDOI:10.21008/j.1897-0737.2019.97.0014
URL http://www.iee.put.poznan.pl/wydawnictwa/wydawnictwaFiles//2019/2037_Academic%20Journals%20Poznan%20University%20of%20Technology_97/!155_14_Piotrowska.pdf
Internal identifier000045388
Languageen angielski
LicenseJournal (articles only); published final; Other open licence; with publication
Score (nominal)5
Score sourcejournalList
ScoreMinisterial score = 5.0, 06-03-2020, ArticleFromJournal
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