Convex Relaxation of Optimal Power Flow, Part II: Exactness
Steven H. Low
TL;DR
This paper reviews recent progress in convex relaxation techniques for the optimal power flow problem, emphasizing conditions that guarantee the relaxation's exactness, and discusses structural properties rather than algorithms.
Contribution
It provides a comprehensive summary of conditions ensuring the exactness of convex relaxations in OPF, advancing understanding of structural properties involved.
Findings
Identifies sufficient conditions for relaxation exactness.
Highlights structural properties influencing convex relaxation success.
Summarizes theoretical advances in OPF convex relaxation.
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.
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