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Uncertainty in distributed renewable generation threatens the security ofpower distribution systems. The concept of the dispatchable region wasdeveloped to assess the ability of power systems to accommodate renewablegeneration at a given operating point. Although DC and linearized AC power flowequations are typically used to model dispatchable regions for transmissionsystems, these equations are rarely suitable for distribution networks. Toachieve a suitable trade-off between accuracy and efficiency, this paperproposes a dispatchable region formulation for distribution networks usingtight convex relaxation. Second-order cone relaxation is adopted to reformulatethe AC power flow equations, which are then approximated by a polyhedron toimprove tractability. Further, an efficient adaptive constraint generationalgorithm is employed to construct the proposed dispatchable region. Casestudies on distribution systems of various scales validate the computationalefficiency and accuracy of the proposed method.

Dispatchable Region for Active Distribution Networks Using Approximate Second-Order Cone Relaxation