Stability Analysis Using Fractional-Order PI Controller in a Time-Delayed Single-Area Load Frequency Control System with Demand Response

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dc.contributor.authorKatipoğlu, Deniz
dc.date.accessioned2023-10-10T12:35:03Z
dc.date.available2023-10-10T12:35:03Z
dc.date.issued2023
dc.departmentMühendislik Fakültesi
dc.description.abstractThe current study investigates the stability analysis based on gain and phase margin (GPM) using fractional-order proportional-integral (FOPI) controller in a time-delayed single-area load frequency control (LFC) system with demand response (DR). The DR control loop is introduced into the classical LFC system to improve the frequency deviation. Although the DR enhances the system’s reliability, the excessive use of open communication networks in the control of the LFC results in time delays that make the system unstable. A frequency-domain approach is proposed to compute the time delay that destabilizes the system using GPM values and different parameter values of the FOPI controller. This method converts the equation into an ordinary polynomial with no exponential terms by eliminating the exponential terms from the system’s characteristic equation. The maximum timedelay values at which the system is marginally stable are calculated analytically using the new polynomial. Finally, the verification of the time delays calculated is demonstrated by simulation studies in the Matlab/Simulink environment and the root finder (quasi-polynomial mapping-based root finder, QPmR) algorithm to define the roots of polynomials with exponential terms providing information about their locations.
dc.identifier.doi10.4316/AECE.2023.02005
dc.identifier.endpage46en_US
dc.identifier.issn1582-7445
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3
dc.identifier.startpage39en_US
dc.identifier.urihttps:/dx.doi.org10.4316/AECE.2023.02005
dc.identifier.urihttps://hdl.handle.net/20.500.12451/11124
dc.identifier.volume23en_US
dc.identifier.wosWOS:001009953400005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversitatea "Stefan cel Mare" din Suceava
dc.relation.ispartofAdvances in Electrical and Computer Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDelay Systems
dc.subjectFrequency Control
dc.subjectPI Control
dc.subjectPower System Control
dc.subjectStability Analysis
dc.titleStability Analysis Using Fractional-Order PI Controller in a Time-Delayed Single-Area Load Frequency Control System with Demand Response
dc.typeArticle

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