This paper develops a power management scheme that jointly optimizes the realpower consumption of programmable loads and reactive power outputs ofphotovoltaic (PV) inverters in distribution networks. The premise is todetermine the optimal demand response schedule that accounts for the stochasticavailability of solar power, as well as to control the reactive powergeneration or consumption of PV inverters adaptively to the real powerinjections of all PV units. These uncertain real power injections by PV unitsare modeled as random variables taking values from a finite number of possiblescenarios. Through the use of second order cone relaxation of the power flowequations, a convex stochastic program is formulated. The objectives are tominimize the negative user utility, cost of power provision, and thermallosses, while constraining voltages to remain within specified levels. To findthe global optimum point, a decentralized algorithm is developed via thealternating direction method of multipliers that results in closed-form updatesper node and per scenario, rendering it suitable to implement in distributionnetworks with large number of scenarios. Numerical tests and comparisons withan alternative deterministic approach are provided for typical residentialdistribution networks that confirm the efficiency of the algorithm.
展开▼
