Abstract: Coordinated var compensation control algorithms of inverters have the potential to finally overcome the real-time voltage regulation challenges in distribution networks with high photovoltaic (PV) penetration. However, most of traditional algorithms do not have satisfactory performance in real-life applications, since inevitable stochastic time delay and data packet dropout in physical communication environments are not properly considered in their design. To address these problems, an asynchronous consensus algorithm with designed verification-compensation mechanism was proposed in this paper for real-time var coordination among distributed PV inverters. The iteration process of the proposed algorithm in imperfect communication environment was depicted by the algorithm-communication coupled state transition matrix, which is a discrete information-exchange mathematical model integrated with iteration rules of the proposed algorithm. On this basis, the algorithm convergence can be finally proved through the ergodic theory. Simulation results demonstrate the superiority of the proposed algorithm over traditional ones in practical application scenarios.