Passive and active elements using fractional Lβ C α circuit

Handle URI:
http://hdl.handle.net/10754/575684
Title:
Passive and active elements using fractional Lβ C α circuit
Authors:
Radwan, Ahmed G.; Salama, Khaled N. ( 0000-0001-7742-1282 )
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.
KAUST Department:
Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Sensors Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Circuits and Systems I: Regular Papers
Issue Date:
Oct-2011
DOI:
10.1109/TCSI.2011.2142690
Type:
Article
ISSN:
15498328
Appears in Collections:
Articles; Electrical Engineering Program; Sensors Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorRadwan, Ahmed G.en
dc.contributor.authorSalama, Khaled N.en
dc.date.accessioned2015-08-24T08:35:48Zen
dc.date.available2015-08-24T08:35:48Zen
dc.date.issued2011-10en
dc.identifier.issn15498328en
dc.identifier.doi10.1109/TCSI.2011.2142690en
dc.identifier.urihttp://hdl.handle.net/10754/575684en
dc.description.abstractThis 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.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectfractional oscillationen
dc.subjectNegative resistoren
dc.subjectquality factoren
dc.subjectresonanceen
dc.subjectsensitivity analysisen
dc.titlePassive and active elements using fractional Lβ C α circuiten
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentSensors Laben
dc.identifier.journalIEEE Transactions on Circuits and Systems I: Regular Papersen
dc.contributor.institutionFaculty of Engineering, Cairo University, Cairo 12613, Egypten
kaust.authorSalama, Khaled N.en
kaust.authorRadwan, Ahmed G.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.