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This paper considers the problem of controlling the operation ofinverter-interfaced distributed energy resources (DERs) in a distribution grid,to achieve operational and performance goals with limited system-levelinformation. We develop an online feedback optimization method to drive theDERs' power setpoints to solutions of an AC optimal power flow (OPF) problembased only on voltage measurements (and without requiring measurements of thepower consumption of non-controllable assets). The proposed method - groundedon the theory of control barrier functions - is based on a continuousapproximation of the projected gradient flow, appropriately modified toaccommodate measurements from the power network. We provide results in terms oflocal exponential stability, and assess the robustness to errors in themeasurements and in the system Jacobian matrix. We show that the proposedmethod ensures anytime satisfaction of the voltage constraints when no modeland measurement errors are present; if these errors are present and are small,the voltage violation is practically negligible. We also discuss extensions ofthe framework to virtual power plant setups. Numerical experiments on a 93-busdistribution system and with realistic load and production profiles show asuperior performance in terms of voltage regulation relative to existingmethods.

Optimal Power Flow Pursuit via Feedback-based Safe Gradient Flow