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This paper proposes a control strategy for the optimization of the reactive power sharing based on an iterative adaptive virtual impedance (IAVI). The IAVI includes two elements: the first is proportional to the reactive power delivered by the distributed generation units at the current iteration, while the second is proportional to the sum of the reactive power variations at the previous iterations. The proposed control strategy has been verified under a Matlab/Simulink environment for an islanded meshed microgrid with three distributed generators. The simulation of different scenarios considering feeder impedance mismatches, different microgrid configurations, and variable loads has shown a good accuracy in the sharing of the reactive power in the microgrid. The control strategy proposed in this paper can be easily implemented as it does not require any communication link between the generators, any knowledge regarding the feeder impedances, and any local load measurement.