Abstract: Aiming to address the issue of frequency security in the interconnected operation of island microgrids, we propose a distributed day-ahead scheduling method that takes into account the spatial and temporal differences in frequency between the microgrids. Firstly, we introduce an equivalent modeling power oscillation and swing equation for the tie-lines of interconnected microgrids. Based on this, we derive a frequency dynamic security constraint set that considers the frequency differences. Secondly, we establish a two-stage distributionally robust optimization model for the day-ahead scheduling of the island microgrid cluster by using the uncertainty of the source-load output using the Copula function and mixed norm. Subsequently, we formulate the distributed optimization model of the microgrid using the dual decomposition and solve it through a combination of the sub-gradient and column and the constraint generation methods. Finally, we conduct simulations using the modified IEEE-15 node system to verify the superiority of our day-ahead scheduling strategy in enhancing the frequency security of the interconnected island microgrids.