Impact of Multiple Time Varying Delay on the Stability of Load Frequency Control System with EV Aggregator

In this paper, the work deals with the impact of multiple time varying delay on the stability of load frequency control (LFC) system when the electric vehicle aggregator (EVA) is involved. The utilisation of communication links for sharing of the information between different sub-systems generates unavoidable time delays. Time varying delays have a significant impact on the stability of the system. So, the LFC system's stability analysis is carried out while taking EVA into consideration. The LMI framework is used in this study to ensure the system's asymptotic stability. The delay dependent criterion employed in this work is based on the Lyapunov theory and Wirtinger based integral inequality.