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Dispatching a large fleet of distributed energy resources (DERs) in responseto wholesale energy market or regional grid signals requires solving achallenging disaggregation problem when the DERs are located within adistribution network. This manuscript presents a computationally tractableconvex inner approximation for the optimal power flow (OPF) problem thatcharacterizes a feeders aggregate DERs hosting capacity and enables a realtime,grid-aware dispatch of DERs for radial distribution networks. The innerapproximation is derived by considering convex envelopes on the nonlinear termsin the AC power flow equations. The resulting convex formulation is then usedto derive provable nodal injection limits, such that any combination of DERdispatches within their respective nodal limits is guaranteed to be ACadmissible. These nodal injection limits are then used to construct a realtime,open-loop control policy for dispatching DERs at each location in the networkto collectively deliver grid services. The IEEE-37 distribution network is usedto validate the technical results and highlight various use-cases.

Grid-aware aggregation and realtime disaggregation of distributed energy resources in radial networks