19th IFAC Workshop on Time Delay Systems, TDS 2025, Gif-sur-Yvette, Fransa, 30 Haziran - 02 Temmuz 2025, cilt.59, ss.135-140, (Tam Metin Bildiri)
This paper represents computation of robust stability delay margins of a time-delayed microgrid containing a virtual inertia and damping control loop. The inclusion of power electronics converter based renewable energy sources in microgrids could degrade the frequency performance of microgrids because of insufficient inertia and damping. Additionally, parametric uncertainties and communication time delays negatively affect the frequency stability. Therefore, the robust delay-dependent stability analysis for microgrids is vital to regulate the system frequency. In this study, a novel utilization of a frequency-domain direct method and Kharitonov's Theorem is presented to calculate robust stability delay margins under parametric uncertainties. The direct method relies on the removal of exponential elements from the characteristic equation. The impacts of the proportional integral controller gains and the percentage parametric uncertainty on the robust stability delay margins are investigated. MATLAB Simulink and a quasi-polynomial mapping-based root finder algorithm are employed to verify the veracity of theoretical results. The results clearly illustrate that robust stability margins diminish as the percentage of parametric uncertainty increases.