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Future power grids will entail large fleets of storage devices capable ofscheduling their charging/discharging profiles so as to achieve lower peakdemand and reduce energy bills, by shifting absorption times in sync with theavailability of renewable energy sources. Optimal management of such fleetsentails large scale optimisation problems which are better dealt with in ahierarchical manner, by clustering together individual devices into fleets.Leveraging on recent results characterizing the set of aggregate demandprofiles of a heterogeneous fleet of charging (or, respectively, discharging)devices we propose a way to achieve optimality, in a unit commitment problem,by adopting a simplified formulation with a number of constraints for the fleetthat scales linearly in the number of time-slots considered and is independentof the size of the fleet. This is remarkable, as it shows that, under suitableconditions, a heterogeneous fleet of any size can effectively be treated as asingle storage unit.

Exact aggregate models for optimal management of heterogeneous fleets of storage devices