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The optimal power flow (OPF) problem minimizes power system operating costsubject to both engineering and network constraints. With the potential to findglobal solutions, significant research interest has focused on convexrelaxations of the non-convex AC OPF problem. This paper investigates``moment-based'' relaxations of the OPF problem developed from the theory ofpolynomial optimization problems. At the cost of increased computationalrequirements, moment-based relaxations are generally tighter than thesemidefinite relaxation employed in previous research, thus resulting in globalsolutions for a broader class of OPF problems. Exploration of the feasiblespace for test systems illustrates the effectiveness of the moment-basedrelaxation.

Moment-Based Relaxation of the Optimal Power Flow Problem