Abstract— As all generators are distributed in different areas

The cooperative manipulation of a multi-generator system in large scale power systems is challenged by the spatial distribution of generators. This paper proposes a distributed step-by-step finite-time consensus scheme specifically designed for heterogeneous Battery Energy Storage Systems (BESS). The objective is to achieve coordinated consensus efficiently within a limited timeframe, thereby enhancing its applicability in electrical engineering. The methodology involves classifying BESSs into clusters based on their locations, designating an active leader within each cluster to oversee external information flow. Five function-oriented inputs are employed to facilitate energy level balancing, active/reactive power sharing, and voltage/frequency synchronization across multiple BESSs. Additionally, the implementation of a virtual leader enables the restoration of frequency and voltage to nominal values within the main grid. Unlike centralized methods, this control approach is entirely distributed, relying solely on local information among neighboring BESSs. The robustness of the control scheme to load perturbations and dynamic communication topology is highlighted. Simulation experiments conducted on the modified IEEE 57-bus system validate the proposed consensus scheme's effectiveness.