Distributed Multiconsensus Cooperative Control of Droop-controlled BESSs Based on Centrality of Eigenvectors

Secondary control and the State-of-Charge (SoC) balance control are important control objectives for battery energy storage systems (BESSs). In this brief, a communication weight allocation method based on the centrality of eigenvectors is designed for a connected and directed graph, which results in the adjacency matrix having a given leading eigenvector. Subsequently, a distributed secondary voltage controller and an SoC balance controller are designed for droop-controlled BESSs to achieve voltage leader-following multiconsensus and SoC balance, respectively. It is worth mentioning that under the designed voltage secondary control scheme, only a single leader is needed to achieve voltage multiconsensus control. In addition, the capacity information/droop coefficient does not need to be transmitted in the communication network to achieve power sharing according to capacity and SoC balance. For SoC balance control, the control gain is also well analyzed to ensure stability. The relevant simulations verify the effectiveness of the designed scheme.