Analysis of Fractional Electrical Circuit with Sinusoidal Input Signal Using Caputo And Conformable Derivative Definitions
AbstractThis 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..
|Journal series||Poznan University of Technology Academic Journals. Electrical Engineering, ISSN 1897-0737, (0 pkt)|
|Publication size in sheets||0.6|
|Conference||Zastosowanie Komputerów w Elektrotechnice (ZKwE 2019), 15-04-2019 - 16-04-2019, Poznań, Polska|
|Keywords in English||fractional order system, Sinusoidal Signals, Caputo definition, conformable fractional derivative definition, fractional electrical circuit|
|License||Journal (articles only); published final; ; with publication|
|Score||= 5.0, 06-03-2020, ArticleFromJournal|
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