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

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Low, Steven H.·2014·IEEE Transactions on Control of Network Systems

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 relationships among them. Part II presents sufficient conditions under which the convex relaxations are exact.

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Metadata

Authors
Low, S. H.
Venue
IEEE Transactions on Control of Network Systems
Published
2014-03
Volume
1
Issue
1
Pages
15-27
ISSN
2325-5870 (ISSN-L)
OpenAlex
W2093909370
Cited by
929
References
2
FWCI
33.96
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence. https://app.cochat.ai/papers/10.1109/tcns.2014.2309732
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Low, S. H. (2014). Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence. IEEE Transactions on Control of Network Systems. https://doi.org/10.1109/tcns.2014.2309732

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.