The present invention relates to a distributed finite time control method for heterogeneous battery energy storage systems of an island micro-grid. A droop control strategy is adopted in a primary control layer of a local control unit to satisfy load demand in an island micro-grid and stabilize frequency and voltage of the island micro-grid. A secondary frequency control structure and a secondary voltage control structure are respectively designed in a secondary control layer of the local control unit, a battery energy control structure is designed to control battery energy, distributed finite time secondary cooperative control rules are designed by means of distributed communication, output voltage amplitudes and frequencies of battery energy storage systems BESS are restored to rated values within a limited time, and at the same time, an active power of an island micro-grid system is proportionally distributed to make battery energy balanced and consistent. Convergence time is estimated, and the upper bound of the estimated convergence time is independent of the initial state of the island micro-grid system. Distributed control allows each battery energy storage unit to communicate with a neighboring battery energy storage unit thereof, therefore robustness of the system is improved.
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