Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem

Understand

Convex relaxations of non-convex optimal power flow (OPF) problems have recently attracted significant interest.

• While existing relaxations globally solve many OPF problems, there are practical problems for which existing relaxations fail to yield physically meaningful solutions.
• This paper applies moment relaxations to solve many of these OPF problems.
• The moment relaxations are developed from the Lasserre hierarchy for solving generalized moment problems.