Modelling and Design of Fractional-Order Wien-Bridge Oscillators

This paper deals with the modelling and realization of fractional-order wien-bridge oscillators. Here, the detailed study of the fractional-order oscillator has been investigated and the conditions for oscillations for three fractional-capacitor based oscillators have been given. In this work, the oscillator’s sinusoidal responses have been evaluated varying the orders of three fractional-capacitors i.e., α, β, and γ one at a time. Also, the frequency domain analysis and time domain analysis of the proposed oscillator's RC network has been analyzed in MATLAB and Lab-VIEW. It can be seen that, with α=0.5, β=0.4 and γ=1.0, the stability of the oscillators is comparatively high. It has been found that, on varying the orders of fractional-capacitors, the phase of the wien-bridge oscillator can be tuned.