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access icon free Design and realisation of a fractional-order sinusoidal oscillator

© The Institution of Engineering and Technology
Received 09/12/2019, Accepted 01/07/2020, Revised 25/06/2020, Published 17/08/2020

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.

Inspec keywords: oscillators; passive networks; approximation theory; circuit stability

Other keywords: sinusoidal voltage signals; oscillator circuit; fractional-order sinusoidal oscillator; second resistor; fractional-order all-pass filter; frequency 10.3 kHz; frequency 10.0 kHz; approximation methods; classical integer-order case; fractional-order capacitors; low impedance terminal

Subjects: Passive filters and other passive networks; Oscillators; Interpolation and function approximation (numerical analysis)

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