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Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks

Zhou, Fengyu and Chen, Yue and Low, Steven H. (2019) Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks. In: 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 6227-6233. ISBN 9781728113982. https://resolver.caltech.edu/CaltechAUTHORS:20200911-103127164

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Abstract

This paper proves that in an unbalanced multi-phase network with a tree topology, the semi-definite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either contributes directly to the cost function or is where an injection constraint is tight at optimality. Our result generalizes a sufficient condition for exact relaxation in single-phase tree networks to tree networks with arbitrary number of phases.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/cdc40024.2019.9029827DOIArticle
https://arxiv.org/abs/1910.08258arXivDiscussion Paper
ORCID:
AuthorORCID
Zhou, Fengyu0000-0002-2639-6491
Low, Steven H.0000-0001-6476-3048
Alternate Title:Sufficient Conditions for Exact Semidefinite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks
Additional Information:© 2019 IEEE.
Record Number:CaltechAUTHORS:20200911-103127164
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200911-103127164
Official Citation:F. Zhou, Y. Chen and S. H. Low, "Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks," 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 2019, pp. 6227-6233, doi: 10.1109/CDC40024.2019.9029827
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105320
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Sep 2020 17:37
Last Modified:11 Sep 2020 17:37

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