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

Simple item page
dc.contributor.authorKartci, Aslihancs
dc.contributor.authorAgambayev, Agamyratcs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorSalama, Khaled Nabilcs
dc.coverage.issue1cs
dc.coverage.volume6cs
dc.date.accessioned2020-08-04T11:00:05Z
dc.date.available2020-08-04T11:00:05Z
dc.date.issued2018-02-27cs
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 for easy calculation of the equivalent FoC magnitude and phase. The experimental results are in good agreement with the theoretical assumptions.en
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 for easy calculation of the equivalent FoC magnitude and phase. The experimental results are in good agreement with the theoretical assumptions.cs
dc.formattextcs
dc.format.extent10933-10943cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationIEEE Access. 2018, vol. 6, issue 1, p. 10933-10943.en
dc.identifier.doi10.1109/ACCESS.2018.2809918cs
dc.identifier.issn2169-3536cs
dc.identifier.other146506cs
dc.identifier.urihttp://hdl.handle.net/11012/70924
dc.language.isoencs
dc.publisherIEEEcs
dc.relation.ispartofIEEE Accesscs
dc.relation.urihttp://ieeexplore.ieee.org/document/8302886/cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2169-3536/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
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.subjectArbitrary-order FoC
dc.subjectFoC
dc.subjectfractional calculus
dc.subjectfractional-order capacitor
dc.subjectinterconnection
dc.subjectMATLAB open access source code
dc.subjectparallel connection
dc.subjectseries connection
dc.subjectsolid-state device
dc.titleSeries-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verificationen
dc.title.alternativeSeries-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verificationcs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-146506en
sync.item.dbtypeVAVen
sync.item.insts2021.03.09 20:54:56en
sync.item.modts2021.03.09 20:14:24en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. oddělení-REL-SIXcs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. oddělení-TKO-SIXcs
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
08302886.pdf
Size:
3.73 MB
Format:
Adobe Portable Document Format
Description:
08302886.pdf
Download
Collections
oddělení-TKO-SIX
oddělení-REL-SIX
Ústav radioelektroniky
Ústav telekomunikací