Distributed secondary control

depending on the sparse communication topology

excels for its flexibility and expandability in microgrids. The communication network plays an important role in microgrid control

but it is vulnerable to cyber-attacks. In this paper

the mathematical model for false data injection (FDI) attacks in AC microgrids is established

and the corresponding detection mechanism based on the morphological gradient is designed for the location of cyber-attacks in communication topology. Then

we propose a median-based resilient consensus voltage control strategy to mitigate the negative effects caused by malicious cyber-attacks and ensure the safe operation of the microgrid. Combining the detection method and resilient consensus control

a novel event-driven mitigation scheme is derived to improve the resilience of microgrids under cyber-attacks. Finally

a tested microgrid model composed of five different distributed generation (DG) units is simulated in the MATLAB/Simulink environment. The feasibility and effectiveness of the presented detection mechanism and resilient consensus strategy are verified by simulation results applying different scenarios.