Akademik Veri Yönetim Sistemi
Journal of Control, Automation and Electrical Systems, 2026 (ESCI, Scopus)
This paper presents the computation of robust stability delay margin (SDM) of an interval shipboard microgrid (SMG) system augmented by a virtual inertia and damping (VID) control loop. The use of communication networks for controlling and coordinating dispersed energy sources leads to unavoidable communication time delays that undesirably influence the frequency stability of the SMG system. Moreover, the low damping and inadequate rotational inertia of renewable energy sources (RESs), along with uncertainty in system parameters, present significant challenges for stability and frequency control, exacerbated by time delays. Therefore, it is essential to evaluate the effects of delays on system stability amid parametric uncertainty. This study initially proposes the incorporation of a VID control loop into the SMG system to enhance frequency dynamics, followed by a novel application of Kharitonov’s Theorem and a frequency-domain direct method based on the exclusion of exponential terms in the characteristic equation to calculate robust SDMs of the SMG system with a VID control loop, referred as the SMG-VID system. The comprehensive robust SDMs for various controller gains and the percentage uncertainty in system parameters are calculated for the SMG-VID system to evaluate the effects of VID control and parametric uncertainties on robust SDMs. Results demonstrate that robust SDMs markedly improve with the incorporation of the VID control loop, however they diminish when the proportion of uncertainty escalates. Ultimately, time-domain simulations are utilized to confirm theoretical robust SDMs, supported by a quasi-polynomial mapping-based root-finding technique (QPmR).