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Öğe Stability Delay Margin Computation of Load Frequency Control System with Demand Response(IEEE, 2019) Katipoglu, Deniz; Sonmez, Sahin; Ayasun, SaffetThis paper investigates the impact of dynamic demand response (DR) loop including a communication time delay on the stability delay margin of a single-area load frequency control (LFC) system considering both gain and phase margins (GPMs). A gain-phase margin tester (GPMT) is added to the DR loop of the LFC system as to include GPMs in the calculation of stability delay margins. A direct method in the frequency-domain is employed to compute stability delay margins in terms of system and controller parameters. For a large range of proportional - integral (PI) controller parameters, time delays for which LFC system with DR loop is both stable and has required stability margin quantified by GPMs are determined. Simulation results that delay margins should be computed by taking into account of both gain and phase margins to achieve faster damping of oscillations, less overshoot and settling time.Öğe The effect of demand response control on stability delay margins of load frequency control systems with communication time-delays(Tubitak Scientific & Technological Research Council Turkey, 2021) Katipoglu, Deniz; Sonmez, Sahin; Ayasun, Saffet; Naveed, AusnainThis paper studies the effect of dynamic demand response (DR) control on stability delay margins of load frequency control (LFC) systems including communication time-delays. A DR control loop is included in each control area, called as LFC-DR system and Rekasius substitution is utilized to identify stability margins for various proportional integral (PI) gains and participation ratios of the secondary and DR control loops. The purpose of Rekasius substitution technique is to obtain purely complex roots on the imaginary axis of the time-delayed LFC-DR system. This substitution first converts the characteristic equation of the LFC-DR system including delay-dependent exponential terms into an ordinary polynomial. Then the well-known Routh-Hurwitz stability method is applied to find those imaginary roots and the corresponding stability delay margin known as maximal time-delay. Delay margin results indicate that the inclusion of DR control loop significantly increases stability delay margin and improves the frequency dynamic behavior of the LFC system including time-delays. Theoretical stability margins are confirmed by a proven algorithm, quasi-polynomial mapping-based root finder (QPmR) algorithm and time-domain simulations.