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With increasing penetration of solar PV, some distribution feeders areexperiencing highly variable net-load flows and even reverse flows. To optimizedistribution systems under such conditions, the scheduling of mechanicaldevices, such as OLTCs and capacitor banks, needs to take into accountforecasted solar PV and actual grid conditions. However, these legacy switchingassets are operated on a daily or hourly timescale, due to the wear and tearassociated with mechanical switching, which makes them unsuitable for real-timecontrol. Therefore, there is a natural timescale-separation between theseslower mechanical assets and the responsive nature of inverter-based resources.In this paper, we present a network admissible convex formulation forholistically scheduling controllable grid assets to position voltage optimallyagainst solarPV. An optimal hourly schedule is presented that utilizesmechanical resources to position the predicted voltages close to nominalvalues, while minimizing the use of inverter-based resources (i.e.,DERs),making them available for control at a faster time-scale (after theuncertainty reveals itself). A convex, inner approximation of the OPF problemis adapted to a mixed-integer linear program that minimizes voltage deviationsfrom nominal (i.e., maximizes voltage margins). The resulting OPF solutionrespects all the network constraints and is, hence, robust against modelingsimplifications. Simulation based analysis on IEEE distribution feedersvalidates the approach.

Voltage positioning using co-optimization of controllable grid assets in radial networks