Akademik Veri Yönetim Sistemi
Electrical Engineering, cilt.108, sa.4, 2026 (SCI-Expanded, Scopus)
As a result of their extensive application as a controllable load, inverter-based air conditioners (IACs) have emerged as a potentially useful instrument for performing frequency regulation in power systems. The employment of an open communication network in the process of aggregating and controlling several IACs, on the other hand, results in the introduction of time delays that have a negative impact on the frequency stability. Additionally, the uncertainties in system parameters make the stability problem a difficult challenge to solve, in addition to time delays. The performance of the controller is degraded as a result of time delays and uncertainties, which contribute to an undesired fluctuation in the frequency of the system and may even lead to instability. Furthermore, in order to maintain stability in the face of disturbances, it is necessary to have a controller design that is robust, taking into consideration both delays and parametric uncertainty. For the purpose of determining all stabilizing robust controller gains that constitute a stable region, this study presents a novel application of Kharitonov’s Theorem with the stability boundary locus technique. An exhaustive investigation is carried out to investigate the effects that the number of IACs, the level of parametric uncertainties, and the time delays have on stability regions. The accuracy of the theoretical results is validated by the utilization of MATLAB Simulink and quasi-polynomial mapping-based root finder algorithm. It is evident from the findings that an increase in the amount of time delay and uncertainty leads to a reduction in the size of the robust stability region, which indicates a decrease in the robustness of the stability. Time-domain simulations demonstrate that controller gains within robust stability regions guarantee the robust stability of the system in the presence of both time delays and parametric uncertainty. Ultimately, the results demonstrate that the system frequency rapidly adjusts to load fluctuations without exhibiting substantial oscillations, hence confirming the robustness of the system in relation to load variations.