Realization of a Three-Stage Fractional-Order Capacitor and its Application in Oscillators

碩士 === 輔仁大學 === 電機工程學系碩士班 === 103 === The resistor, inductor and capacitor are the most important elements in circuits. The impedance of these elements can be expressed as . In general, has been restricted to an integer. In this thesis, we will use a recursive electric circuit composed of resi...

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Bibliographic Details
Main Authors: Chih-Hsuan Chen, 陳智軒
Other Authors: Steve Hung-Lung Tu
Format: Others
Language:zh-TW
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/74786680741017593455
Description
Summary:碩士 === 輔仁大學 === 電機工程學系碩士班 === 103 === The resistor, inductor and capacitor are the most important elements in circuits. The impedance of these elements can be expressed as . In general, has been restricted to an integer. In this thesis, we will use a recursive electric circuit composed of resistors and capacitors to realize a fractional-order capacitor. We also explore the operation conditions for the implementation of different stages and different cases. Also, we will substitute the fractional-order capacitor into a Wien-bridge oscillator and use ideal and real opamps to introduce the advantages of a fractional-order device. The Barhkausen criterion for a fractional-order oscillator will be investigated in terms of oscillation conditions and oscillation frequency. In this thesis we investigate the oscillation condition and oscillation frequency. Equations are derived and validated with HSpice simulation and some measurement results.