Title:

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

Creator:

Piotrowska, Ewa

Subject and Keywords:

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

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.

Publisher:

Publishing House of Poznan University of Technology

Object type:

artykuł

ISBN/ISSN:

1897-0737

DOI:

10.21008/j.1897-0737.2019.97.0014

Language:

pol ; eng

Relation:

Strona czasopisma Politechnika Poznańska Wydział Elektryczny i Instytut Elektrotechniki i Elektroniki Przemysłowej

Rights Management:

Politechnika Poznańska

Format:

pp. 155-167

Rights:

wszystkie prawa zastrzeżone

Access rights:

dla wszystkich w zakresie dozwolonego użytku

Rights holder:

Politechnika Poznańska

Digital object format:

application/pdf