Convex Relaxation of Optimal Power Flow, Part I: Formulations and
  Equivalence

Low, Steven H.

research

Convex Relaxation of Optimal Power Flow, Part I: Formulations and Equivalence

Authors: Steven H. Low
Publication date: 1 March 2014
Publisher: 'Institute of Electrical and Electronics Engineers (IEEE)'
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Abstract

This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations in each model, and proves equivalence relations among them. Part II presents sufficient conditions under which the convex relaxations are exact.Comment: Citation: IEEE Transactions on Control of Network Systems, 15(1):15-27, March 2014. This is an extended version with Appendices VIII and IX that provide some mathematical preliminaries and proofs of the main result