  An important issue in today's electricity markets is the management of
flexibilities offered by new practices, such as smart home appliances or
electric vehicles. By inducing changes in the behavior of residential electric
utilities, demand response (DR) seeks to adjust the demand of power to the
supply for increased grid stability and better integration of renewable
energies. A key role in DR is played by emergent independent entities called
load aggregators (LAs). We develop a new decentralized algorithm to solve a
convex relaxation of the classical Alternative Current Optimal Power Flow
(ACOPF) problem, which relies on local information only. Each computational
step can be performed in an entirely privacy-preserving manner, and system-wide
coordination is achieved via node-specific distribution locational marginal
prices (DLMPs). We demonstrate the efficiency of our approach on a 15-bus
radial distribution network.
