Exact Convex Relaxation of Optimal Power Flow in Radial Networks

• Published in: IEEE transactions on automatic control Vol. 60; no. 1; pp. 72 - 87
• Main Authors: Lingwen Gan, Na Li, Topcu, Ufuk, Low, Steven H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation methods; Automatic control; Cost engineering; Equations; Mathematical model; Networks; Optimization; Power flow; Power loss; Reactive power; Silicon; Substations; Upper bound; Optimal power flow (OPF)

The optimal power flow (OPF) problem determines a network operating point that minimizes a certain objective such as generation cost or power loss. It is nonconvex. We prove that a global optimum of OPF can be obtained by solving a second-order cone program, under a mild condition after shrinking th...