Fractional-order Wien-bridge oscillator

W. Ahmad, R. El-khazali, A. S. Elwakil

Research output: Contribution to journalArticlepeer-review

151 Scopus citations

Abstract

The classical Wien-bridge sinusoidal oscillator is studied, when both of the capacitors of the oscillator acquire a fractional order. Accordingly, the Wien oscillator is described by a set of fractional-order nonlinear differential equations. It is shown that sinusoidal oscillations are preserved but the phase-shift between the waveforms of the two state variables and the frequency of oscillation both depend on the fractional-order, leading to a significant advantage over the integer-type Wien oscillator. Findings are validated via numerical simulations.

Original languageBritish English
Pages (from-to)1110-1112
Number of pages3
JournalElectronics Letters
Volume37
Issue number18
DOIs
StatePublished - 30 Aug 2001

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