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This paper presents a novel distributed optimal power flow (DOPF) method forfair distributed energy resource (DER) coordination in the context of mandatedrooftop PV inverter control modes. In practice, inverter reactive power controlis increasingly required by grid connection codes, which often unfairly curtailPV generation of prosumers towards the end of low-voltage feeders. Similarly,optimization-based DER coordination methods that aim solely fortechnically-efficient DER coordination do not consider the distribution of PVcurtailment across customers. To address these concerns, we develop a tractablemulti-objective DOPF method for optimal DER coordination that (i) curtails PVgeneration fairly across prosumers, and (ii) incorporates a standardpiecewise-linear volt-var control reactive power control function without usinginteger variables. Three equity principles representing differentinterpretations of fairness are implemented in our coordination method; namely,egalitarian, proportional and uniform dynamic PV curtailment redistribution.The performance of our approach is demonstrated on low-voltage distributionfeeders of different sizes (5, 10, 25, 50 and 100 prosumers) using two networktopologies: line topology without lateral spurs and tree topology with lateralspurs. Each network considers three levels of PV penetration, giving 30 testsystems in total. The results demonstrate the effectiveness of the proposedDOPF method for fair DER coordination: PV curtailment is equitably distributedamong prosumers with a computational burden on par with conventional DOPFapproaches. Moreover, different fairness methods result in different patternsof curtailment, which a regulator may choose between.

Fair Coordination of Distributed Energy Resources with Volt-Var Control and PV Curtailment