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In this paper, we analyze the impact of communication failures on theperformance of optimal distributed frequency control. We consider aconsensus-based control scheme, and show that it does not converge to theoptimal solution when the communication network is disconnected. We propose anew control scheme that uses the dynamics of power grid to replicate theinformation not received from the communication network, and prove that itachieves the optimal solution under any single communication link failure. Inaddition, we show that this control improves cost under multiple communicationlink failures. Next, we analyze the impact of discrete-time communication onthe performance of distributed frequency control. In particular, we will showthat the convergence time increases as the time interval between two messagesincreases. We propose a new algorithm that uses the dynamics of the power grid,and show through simulation that it improves the convergence time of thecontrol scheme significantly.

Distributed Frequency Control in Power Grids Under Limited Communication