English

Reduced-Complexity Semidefinite Relaxations of Optimal Power Flow Problems

Optimization and Control 2013-12-09 v2

Abstract

We propose a new method for generating semidefinite relaxations of optimal power flow problems. The method is based on chordal conversion techniques: by dropping some equality constraints in the conversion, we obtain semidefinite relaxations that are computationally cheaper, but potentially weaker, than the standard semidefinite relaxation. Our numerical results show that the new relaxations often produce the same results as the standard semidefinite relaxation, but at a lower computational cost.

Keywords

Cite

@article{arxiv.1308.6718,
  title  = {Reduced-Complexity Semidefinite Relaxations of Optimal Power Flow Problems},
  author = {Martin S. Andersen and Anders Hansson and Lieven Vandenberghe},
  journal= {arXiv preprint arXiv:1308.6718},
  year   = {2013}
}

Comments

Revised manuscript; accepted for publication in IEEE Trans. on Power Systems

R2 v1 2026-06-22T01:17:54.245Z