Passive and active elements using fractional Lβ C α circuit

Ahmed G. Radwan, Khaled N. Salama

Research output: Contribution to journalArticlepeer-review

114 Scopus citations

Abstract

This paper introduces a qualitative revision of the traditional LC tank circuit in the fractional domain. The paper can be divided into six major parts, aiming in turn to establish the various conditions under which L βCα impedance may act as a resistor, negative resistor, or a positive or negative pure imaginary inductor or capacitor, in accordance to new frequency definitions; illustrate the process by which the phase response chooses the shortest path from initial to final phase, and use this illustration to verify the cases discussed in part one; develop the generalized parameters for the bandpass filter response of the L βCα circuit, such as the resonance frequency and quality factor versus α-β plane; discuss sensitivity analyses with respect to the fractional orders, as well as the time domain analyses for the impulse and step responses with their analytical formulas; and lastly, to propose some possible applications for this generalized circuit. Mathematical and PSpice simulation results are included to validate the discussion. © 2011 IEEE.
Original languageEnglish (US)
Pages (from-to)2388-2397
Number of pages10
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume58
Issue number10
DOIs
StatePublished - Oct 2011

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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