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

Type: Article

Publication Date: 2014-03-01

Citations: 623

DOI: https://doi.org/10.1109/tcns.2014.2309732

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.

Locations

  • IEEE Transactions on Control of Network Systems - View
  • arXiv (Cornell University) - View - PDF
  • CaltechAUTHORS (California Institute of Technology) - View - PDF
  • DataCite API - View

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