Analytically Finding Delay Consensus Margin in Battery Energy Storage Systems

This paper studies the delay consensus margin in battery energy storage systems, with the goal of coordinating the synchronization of both State-Of-Charge (SoC) and power levels of batteries. The analysis takes into account uncertainties in delays that vary within a specified range, and it considers the challenge of achieving synchronization with restricted information exchange. This paper seeks to address the question: In what extensive range of delays can a control protocol successfully achieve synchronization for both SoC and power levels of batteries?. Having investigated the battery storage system which communicates through a directed network topology and determine a clear margin for delay consensus, we analyze the scenario without delays and derive a condition that is both necessary and sufficient for reaching synchronization for both SoC and power levels of batteries.