The efficient operation of power systems necessitates accurate load frequency control mechanisms to maintain system stability and reliability. However, the introduction of communication channels in LFC schemes introduces delays that can significantly impact the dynamic performance of the system. This study delves into the analysis of delay-induced effects on the stability of a one-area multi-unit load frequency control system incorporating plug-in electrical vehicle aggregators. The primary focus of this research is to investigate the delay-dependent stability of the aforementioned system configuration. Time delays, stemming from the utilization of communication channels, have been identified as potential sources of system performance degradation. The most severe consequence of these delays is the deterioration of dynamic performance, with the possibility of escalating into outright instability in the worst-case scenario. To address this concern, the study employs a comprehensive approach through rigorous analysis and simulation, the delay margin is quantified, delineating the range within which system stability can be assured. The acquired delay margin values are then cross-validated against results obtained from simulation studies, enhancing the robustness and credibility of the findings. Moreover, the investigation extends to explore the influence of various participating factors and controller gains on system stability. By systematically varying these parameters, the study seeks to elucidate their impact on the delay margin and overall system behavior. This endeavor holds paramount importance as it furnishes valuable insights for system operators and designers to enhance stability margins and response capabilities.