Fractional-order RC and RL circuits

Handle URI:
http://hdl.handle.net/10754/562198
Title:
Fractional-order RC and RL circuits
Authors:
Radwan, Ahmed Gomaa; Salama, Khaled N. ( 0000-0001-7742-1282 )
Abstract:
This paper is a step forward to generalize the fundamentals of the conventional RC and RL circuits in fractional-order sense. The effect of fractional orders is the key factor for extra freedom, more flexibility, and novelty. The conditions for RC and RL circuits to act as pure imaginary impedances are derived, which are unrealizable in the conventional case. In addition, the sensitivity analyses of the magnitude and phase response with respect to all parameters showing the locations of these critical values are discussed. A qualitative revision for the fractional RC and RL circuits in the frequency domain is provided. Numerical and PSpice simulations are included to validate this study. © Springer Science+Business Media, LLC 2012.
KAUST Department:
Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Sensors Lab
Publisher:
Springer Nature
Journal:
Circuits, Systems, and Signal Processing
Issue Date:
30-May-2012
DOI:
10.1007/s00034-012-9432-z
Type:
Article
ISSN:
0278081X
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 Gomaaen
dc.contributor.authorSalama, Khaled N.en
dc.date.accessioned2015-08-03T09:47:04Zen
dc.date.available2015-08-03T09:47:04Zen
dc.date.issued2012-05-30en
dc.identifier.issn0278081Xen
dc.identifier.doi10.1007/s00034-012-9432-zen
dc.identifier.urihttp://hdl.handle.net/10754/562198en
dc.description.abstractThis paper is a step forward to generalize the fundamentals of the conventional RC and RL circuits in fractional-order sense. The effect of fractional orders is the key factor for extra freedom, more flexibility, and novelty. The conditions for RC and RL circuits to act as pure imaginary impedances are derived, which are unrealizable in the conventional case. In addition, the sensitivity analyses of the magnitude and phase response with respect to all parameters showing the locations of these critical values are discussed. A qualitative revision for the fractional RC and RL circuits in the frequency domain is provided. Numerical and PSpice simulations are included to validate this study. © Springer Science+Business Media, LLC 2012.en
dc.publisherSpringer Natureen
dc.subjectFractional calculusen
dc.subjectFractional-order circuiten
dc.subjectFractional-order filteren
dc.subjectFrequency domain analysisen
dc.subjectSensitivity analysisen
dc.titleFractional-order RC and RL circuitsen
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentSensors Laben
dc.identifier.journalCircuits, Systems, and Signal Processingen
dc.contributor.institutionEngineering Mathematics Department, Faculty of Engineering, Cairo University, Cairo, 12613, Egypten
dc.contributor.institutionNanoelectronics Integrated Systems Center, Nile University, Cairo, Egypten
kaust.authorSalama, Khaled N.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.