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Convex Relaxation of Optimal Power Flow, Part I: Formulations and Equivalence
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2014-05-04
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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.
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Most cited references29
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Semidefinite Relaxation of Quadratic Optimization Problems
Zhi-Quan Luo, Wing-Kin Ma, Anthony So … (2010)
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Zero Duality Gap in Optimal Power Flow Problem
Javad Lavaei, Steven H. Low (2012)
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Optimal Power Flow Solutions
Hermann Dommel, William. Tinney (1968)
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