In the islanded microgrid,the mismatch in line impedance hinders the traditional droop control from achieving an equal distribution of reactive power among Distributed Generation (DG) sources.To address this problem and enhance the flexibility and reliability of the controller,this paper analyzes the reasons behind the failure of traditional droop control and proposes an adaptive droop coefficient that can be dynamically adjusted to meet the conditions for reactive power sharing.Additionally,a dynamic distributed observer is designed and its convergence is proven,which allows DG sources to obtain necessary information flexibly and reliably in a distributed manner.Finally,the proposed control strategy is verified through simulations in four different scenarios,and the results demonstrate its superiority and effectiveness.