Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm

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dc.contributor.authorKartci, Aslihancs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorBrančík, Lubomírcs
dc.coverage.issue1cs
dc.coverage.volume7cs
dc.date.issued2019-06-14cs
dc.description.abstractThis study proposes a new approach for the optimization of phase and magnitude responses of fractional-order capacitive and inductive elements based on the mixed integer-order genetic algorithm (GA), over a bandwidth of four-decade, and operating up to 1 GHz with a low phase error of approximately +/- 1 degrees. It provides a phase optimization in the desired bandwidth with minimal branch number and avoids the use of negative component values, and any complex mathematical analysis. Standardized, IEC 60063 compliant commercially available passive component values are used; hence, no correction on passive elements is required. To the best knowledge of the authors, this approach is proposed for the first time in the literature. As validation, we present numerical simulations using MATLAB (R) and experimental measurement results, in particular, the Foster-II and Valsa structures with five branches for precise and/or high-frequency applications. Indeed, the results demonstrate excellent performance and significant improvements over the Oustaloup approximation, the Valsa recursive algorithm, and the continued fraction expansion and the adaptability of the GA-based design with five different types of distributed RC/RL network.en
dc.formattextcs
dc.format.extent80233-80246cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationIEEE Access. 2019, vol. 7, issue 1, p. 80233-80246.en
dc.identifier.doi10.1109/ACCESS.2019.2923166cs
dc.identifier.issn2169-3536cs
dc.identifier.orcid0000-0001-5690-7574cs
dc.identifier.orcid0000-0002-9504-2275cs
dc.identifier.orcid0000-0001-9510-2058cs
dc.identifier.other157018cs
dc.identifier.researcheridE-2150-2018cs
dc.identifier.researcheridA-6539-2009cs
dc.identifier.scopus55576535400cs
dc.identifier.scopus23012051100cs
dc.identifier.scopus8440446200cs
dc.identifier.urihttp://hdl.handle.net/11012/180480
dc.language.isoencs
dc.publisherIEEEcs
dc.relation.ispartofIEEE Accesscs
dc.relation.urihttps://ieeexplore.ieee.org/document/8736971cs
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.subjectCauer networken
dc.subjectConstant phase elementen
dc.subjectcontinued fraction expansionen
dc.subjectdistributed RC networken
dc.subjectdistributed RL networken
dc.subjectFoster networken
dc.subjectfractional-order capacitoren
dc.subjectfractional-order elementen
dc.subjectfractional-order inductoren
dc.subjectgenetic algorithmen
dc.subjectimpedance optimizationen
dc.subjectphase optimizationen
dc.subjectRC networken
dc.subjectRL networken
dc.subjectrecursive algorithmen
dc.subjectValsa networken
dc.titleSynthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithmen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-157018en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:41:29en
sync.item.modts2025.01.17 16:54:05en
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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