Series-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verification

Handle URI:
http://hdl.handle.net/10754/627339
Title:
Series-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verification
Authors:
Kartci, Aslihan; Agambayev, Agamyrat; Herencsar, Norbert; Salama, Khaled N. ( 0000-0001-7742-1282 )
Abstract:
In the paper, general analytical formulas are introduced for the determination of equivalent impedance, magnitude, and phase, i.e. order, for n arbitrary fractional-order capacitors (FoCs) connected in series, parallel, and their interconnection. The approach presented helps to evaluate these relevant quantities in the fractional domain since the order of each element has a significant effect on the impedance of each FoC and their equivalent capacitance cannot be considered. Three types of solid-state fractional-order passive capacitors of different orders, using ferroelectric polymer and reduced Graphene Oxide-percolated P(VDF-TrFE-CFE) composite structures, are fabricated and characterized. Using an impedance analyzer, the behavior of the devices was found to be stable in the frequency range 0.2MHz–20MHz, with a phase angle deviation of ±4 degrees. Multiple numerical and experimental case studies are given, in particular for two and three connected FoCs. The fundamental issues of the measurement units of the FoCs connected in series and parallel are derived. A MATLAB open access source code is given in Appendix sec:append for easy calculation of the equivalent FoC magnitude and phase. The experimental results are in good agreement with the theoretical assumptions.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program
Citation:
Kartci A, Agambayev A, Herencsar N, Salama KN (2018) Series-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verification. IEEE Access: 1–1. Available: http://dx.doi.org/10.1109/ACCESS.2018.2809918.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Access
Issue Date:
26-Feb-2018
DOI:
10.1109/ACCESS.2018.2809918
Type:
Article
ISSN:
2169-3536
Additional Links:
http://ieeexplore.ieee.org/document/8302886/
Appears in Collections:
Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKartci, Aslihanen
dc.contributor.authorAgambayev, Agamyraten
dc.contributor.authorHerencsar, Norberten
dc.contributor.authorSalama, Khaled N.en
dc.date.accessioned2018-03-15T11:35:54Z-
dc.date.available2018-03-15T11:35:54Z-
dc.date.issued2018-02-26en
dc.identifier.citationKartci A, Agambayev A, Herencsar N, Salama KN (2018) Series-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verification. IEEE Access: 1–1. Available: http://dx.doi.org/10.1109/ACCESS.2018.2809918.en
dc.identifier.issn2169-3536en
dc.identifier.doi10.1109/ACCESS.2018.2809918en
dc.identifier.urihttp://hdl.handle.net/10754/627339-
dc.description.abstractIn the paper, general analytical formulas are introduced for the determination of equivalent impedance, magnitude, and phase, i.e. order, for n arbitrary fractional-order capacitors (FoCs) connected in series, parallel, and their interconnection. The approach presented helps to evaluate these relevant quantities in the fractional domain since the order of each element has a significant effect on the impedance of each FoC and their equivalent capacitance cannot be considered. Three types of solid-state fractional-order passive capacitors of different orders, using ferroelectric polymer and reduced Graphene Oxide-percolated P(VDF-TrFE-CFE) composite structures, are fabricated and characterized. Using an impedance analyzer, the behavior of the devices was found to be stable in the frequency range 0.2MHz–20MHz, with a phase angle deviation of ±4 degrees. Multiple numerical and experimental case studies are given, in particular for two and three connected FoCs. The fundamental issues of the measurement units of the FoCs connected in series and parallel are derived. A MATLAB open access source code is given in Appendix sec:append for easy calculation of the equivalent FoC magnitude and phase. The experimental results are in good agreement with the theoretical assumptions.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/8302886/en
dc.rights(c) 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Released under the IEEE Open Access Publishing Agreement.en
dc.rights.urihttp://www.ieee.org/publications_standards/publications/rights/oa_author_choices.htmlen
dc.subjectArbitrary-order FoCen
dc.subjectFoCen
dc.subjectfractional calculusen
dc.subjectfractional-order capacitoren
dc.subjectinterconnectionen
dc.subjectMATLAB open access source codeen
dc.subjectparallel connectionen
dc.subjectseries connectionen
dc.subjectsolid-state deviceen
dc.titleSeries-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verificationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journalIEEE Accessen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Telecommunications, Brno University of Technology, Technicka 3082/12, 616 00 Brno, Czech Republic.en
dc.contributor.institutionDepartment of Radio Electronics, Brno University of Technology, Technicka 3082/12, 616 00 Brno, Czech Republic and Department of Telecommunications, Brno University of Technology, Technicka 3082/12, 616 00 Brno, Czech Republic.en
kaust.authorAgambayev, Agamyraten
kaust.authorSalama, Khaled N.en
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