- Tytuł:
- Analysis of fractional electrical circuit with sinusoidal input signal using Caputo and conformable derivative definitions
- Autorzy:
- Piotrowska, Ewa
- Powiązania:
- https://bibliotekanauki.pl/articles/378130.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
- Tematy:
-
fractional order system
Sinusoidal Signals
Caputo definition
conformable fractional derivative definition
fractional electrical circuit - Opis:
- 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.
- Źródło:
-
Poznan University of Technology Academic Journals. Electrical Engineering; 2019, 97; 155-167
1897-0737 - Pojawia się w:
- Poznan University of Technology Academic Journals. Electrical Engineering
- Dostawca treści:
- Biblioteka Nauki