Title
Analysis of the fractional-Order Parallel Tank Circuit.
Abstract
A parallel L beta C alpha tank circuit with an alpha-order capacitor and a beta-order inductor is proposed in this paper, where alpha and beta are positive real numbers. The impedance of the parallel L beta C alpha tank circuit, which could perform as a pure real, pure imaginary or short impedance, is discussed in detail, followed by the phase response analysis in alpha-beta plane. The results show that the parallel L beta C alpha tank circuit could act as a constant phase element. The resonance frequency analysis demonstrates that there exists more than one resonance frequency. And the time domain response expression of the proposed L beta C alpha tank circuit is given by applying the inverse Laplace transform. The dual transformation relationship between the series and parallel L beta C alpha tank circuit is summarized at last.
Year
DOI
Venue
2013
10.1142/S0218126613500473
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS
Keywords
Field
DocType
Fractional capacitor,fractional inductor,parallel L beta C alpha tank,sensitivity analysis
LC circuit,RL circuit,Capacitor,Control theory,Computer science,Inductor,Electronic engineering,Electrical impedance,Constant phase element,RLC circuit,Inverse Laplace transform
Journal
Volume
Issue
ISSN
22
6
0218-1266
Citations 
PageRank 
References 
3
0.42
6
Authors
2
Name
Order
Citations
PageRank
Peng Chen1366.23
Songbai He2158.90