Open AccessDesign and realisation of a fractional‐order sinusoidal oscillator
Author(s) -
Ethem Saçu İbrahim,
ALÇI Mustafa
Publication year - 2020
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2019.0534
Subject(s) - vackář oscillator , filter (signal processing) , mathematics , rc oscillator , integrator , topology (electrical circuits) , control theory (sociology) , physics , voltage , voltage controlled oscillator , computer science , electrical engineering , engineering , quantum mechanics , combinatorics , control (management) , artificial intelligence
In this work, a new fractional‐order sinusoidal oscillator is proposed. The proposed oscillator consists of one fractional‐order all‐pass filter and one fractional‐order lossless integrator blocks. In order to emulate fractional‐order capacitors, three different approximation methods the R – C pair, Matsuda and Oustaloup are employed and the results are compared. Three sinusoidal voltage signals with different phases that are controlled by fractional orders are provided by the proposed oscillator topology that is not possible for the classical integer‐order case. Grounded passive components are used in the introduced oscillator circuit. Additionally, the output voltage signals are available at the low impedance terminal W of AD844ANs. Moreover, the time constant of the fractional‐order all‐pass filter can be adjusted accurately by means of second resistor R x in the all‐pass filter section. In addition to the simulation results, the proposed fractional oscillator is also implemented to verify the oscillator circuit experimentally. For the case of fractional orders α = 1 and β = 0.5, the measurement results are 10.3 kHz, 43.22° and 67.99°, respectively, while the desired values are 10 kHz, 45° and 67.36°, respectively.