The popularity of renewable energy distributed generation has increased for environmental and convenient concerns. However, the occurrence of the above situation will cause the communication resources of the microgrid to be rapidly consumed to maintain the frequency stability of the system. In this work, a novel event‐triggered scheme is developed to ameliorate the present communication networks of island microgrid with communication delay. Combining the newly constructed Lyapunov–Krasovskii functional and the convex combinatorial method, the asymptotic stability of a typical microgrid is demonstrated. Moreover, taking dynamic switching system into account, the two‐part proof is completed independently. Then, a positive inter‐execution time lower bound is implemented to guarantee that there is no Zeno behaviour. Finally, the numerical simulation results are compared with other sampling methods in different scenarios. It indicates that the proposed scheme is superior to other types of scheme in frequency response performance and communication burden.