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Typical coordination schemes for future power grids require two-waycommunications. Since the number of end power-consuming devices is large, thebandwidth requirements for such two-way communication schemes may beprohibitive. Motivated by this observation, we study distributed coordinationschemes that require only one-way limited communications. In particular, weinvestigate how dual descent distributed optimization algorithm can be employedin power networks using one-way communication. In this iterative algorithm,system coordinators broadcast coordinating (or pricing) signals to theusers/devices who update power consumption based on the received signal. Thensystem coordinators update the coordinating signals based on the physicalmeasurement of the aggregate power usage. We provide conditions to guaranteethe feasibility of the aggregated power usage at each iteration so as to avoidblackout. Furthermore, we prove the convergence of algorithms under theseconditions, and establish its rate of convergence. We illustrate theperformance of our algorithms using numerical simulations. These results showthat one-way limited communication may be viable for coordinating/operating thefuture smart grids.

Distributed Resource Allocation Using One-Way Communication with Applications to Power Networks