Integer-and Fractional-Order Integral and Derivative Two-Port Summations: Practical Design Considerations

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dc.contributor.authorŠotner, Romancs
dc.contributor.authorDomanský, Ondřejcs
dc.contributor.authorJeřábek, Jancs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorPetržela, Jiřícs
dc.contributor.authorAndriukaitis, Dariuscs
dc.coverage.issue1cs
dc.coverage.volume10cs
dc.date.accessioned2020-08-04T11:57:42Z
dc.date.available2020-08-04T11:57:42Z
dc.date.issued2020-01-13cs
dc.description.abstractThis paper targets on the design and analysis of specific types of transfer functions obtained by the summing operation of integer-order and fractional-order two-port responses. Various operations provided by fractional-order, two-terminal devices have been studied recently. However, this topic needs to be further studied, and the topologies need to be analyzed in order to extend the state of the art. The studied topology utilizes the passive solution of a constant-phase element (with order equal to 0.5) implemented by parallel resistor-capacitor circuit (RC) sections operating as a fractional-order two-port. The integer-order part is implemented by operational amplifier-based lossless integrators and differentiators in branches with electronically adjustable gain, useful for time constant tuning. Four possible cases of the fractional-order and integer-order two-port interconnections are analyzed analytically, by PSpice simulations and also experimentally in the frequency range between 10 Hz and 1 MHz. Standard discrete active components are used in this design for laboratory verification. Practical recommendations for construction and also particular solutions overcoming possible issues with instability and DC offsets are also given. Experimental and simulated results are in good agreement with theory.en
dc.formattextcs
dc.format.extent1-25cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationApplied Sciences - Basel. 2020, vol. 10, issue 1, p. 1-25.en
dc.identifier.doi10.3390/app10010054cs
dc.identifier.issn2076-3417cs
dc.identifier.other163201cs
dc.identifier.urihttp://hdl.handle.net/11012/189004
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofApplied Sciences - Baselcs
dc.relation.urihttps://www.mdpi.com/2076-3417/10/1/54cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2076-3417/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectconstant phase elementen
dc.subjectdifferentiatoren
dc.subjectelectronic adjustingen
dc.subjectfractional-order elementen
dc.subjectintegratoren
dc.subjectsumming of responsesen
dc.subjecttwo-port transferen
dc.subjectvariable gain amplifieren
dc.titleInteger-and Fractional-Order Integral and Derivative Two-Port Summations: Practical Design Considerationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-163201en
sync.item.dbtypeVAVen
sync.item.insts2020.08.04 13:57:42en
sync.item.modts2020.08.04 12:48:47en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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