Gain and phase margins-based delay margin computation of load frequency control systems using Rekasius substitution

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dc.contributor.authorSonmez, Sahin
dc.contributor.authorAyasun, Saffet
dc.date.accessioned2024-11-07T13:24:50Z
dc.date.available2024-11-07T13:24:50Z
dc.date.issued2019
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThis paper investigates the effect of gain and phase margins (GPMs) on stability delay margin of a two-area load frequency control (LFC) system with constant communication delay. A gain-phase margin tester (GPMT) is introduced to the LFC system as to take into GPMs in delay margin computation. A frequency domain exact method, Rekasius substitution, is proposed to compute the GPMs-based stability delay margins. The method aims to calculate all possible purely complex roots of the characteristic equation for a finite positive time delay. The approach first transforms the characteristic polynomial of the LFC system with transcendental terms into a regular polynomial. Routh-Hurwitz stability criterion is then implemented to compute the purely imaginary roots with the crossing frequency and stability delay margin. For a wide range of proportional-integral controller gains and GPMs, time delay values at which LFC system is both stable and has desired stability margin measured by GPMs are computed. The accuracy of complex roots and delay margins are verified by using an independent algorithm, the quasi-polynomial mapping-based root finder and time-domain simulations. Simulation studies indicate that delay margins must be determined considering GPMs to have a better dynamic performance in term of fast damping of oscillations, less overshoot and settling time.
dc.identifier.doi10.1177/0142331219826653
dc.identifier.endpage3395
dc.identifier.issn0142-3312
dc.identifier.issn1477-0369
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85061608206
dc.identifier.scopusqualityQ2
dc.identifier.startpage3385
dc.identifier.urihttps://doi.org/10.1177/0142331219826653
dc.identifier.urihttps://hdl.handle.net/11480/14355
dc.identifier.volume41
dc.identifier.wosWOS:000473454600010
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSage Publications Ltd
dc.relation.ispartofTransactions of the Institute of Measurement and Control
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectDelay margin
dc.subjectgain and phase margins
dc.subjectload frequency control
dc.subjectRekasius substitution
dc.subjectquasi-polynomial mapping-based root finder (QPmR) algorithm
dc.subjectstability
dc.titleGain and phase margins-based delay margin computation of load frequency control systems using Rekasius substitution
dc.typeArticle

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