ABSTRACT The increasing penetration of diverse distributed energy resources (DERs) in power distribution systems poses significant challenges, especially when multiple aggregators operate independently. Achieving economic efficiency while ensuring network safety under uncertainty, with limited information sharing, requires advanced coordination between the distribution system utility and aggregators. This paper introduces a novel coordination method that combines probabilistic constraint sets with an alternating direction method of multipliers‐based distributed optimization. The proposed approach accommodates multiple time intervals and aggregators without relying on assumptions about the probability distributions of power injections or other uncertain power flow parameters. The method generalizes across different DER types and enables a flexible balance between financial and technical objectives. Experimental validation on realistic datasets demonstrates substantial improvements in network safety metrics: the frequency of violations is reduced by about 24%, the median magnitude by 45%, and the maximum magnitude by 65%, while maintaining economic performance.
Sosnowski et al. (Thu,) studied this question.