Resonance and Quality Factor of the RLαCα Fractional Circuit

被引：86

作者：

Radwan, A. G. ^{[1
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Cairo 12613, Egypt

来源：

IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS | 2013年 / 3卷 / 03期

关键词：

Bandwidth; damping ratios; distortion; fractional calculus; fractional-order filter; quality factor; resonance; stability nalysis; RL alpha C alpha circuit; SYSTEMS; STABILITY;

D O I：

10.1109/JETCAS.2013.2272838

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper introduces the general fundamentals of the fractional order circuit, where is the order of the elements. The generalized complex impedance of the circuit can be purely real, imaginary, or short circuit. The stability analyses where two regions have been classified are introduced with many numerical examples. General maps for transient and frequency responses are investigated showing the damping parameters for each case. The resonance, 3 dB frequencies, bandwidth, and quality factor for all possible cases have been investigated with detailed analytical formulas. Numerical and PSpice simulations are provided using different examples to validate these concepts.

引用

页码：377 / 385

页数：9

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