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DC optimal power flow: Uniqueness and algorithms

Tan, Chee Wei and Cai, Desmond W. H. and Lou, Xin (2012) DC optimal power flow: Uniqueness and algorithms. In: 2012 IEEE Third International Conference on Smart Grid Communications. IEEE , Piscataway, NJ, pp. 641-646. ISBN 978-1-4673-0910-3. https://resolver.caltech.edu/CaltechAUTHORS:20170810-112949782

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Abstract

The optimal power flow (OPF) problem minimizes the power loss in an electrical network by optimizing the voltage and power delivered at the network nodes, and is generally hard to solve. We study the direct current special case by leveraging recent developments on the zero duality gap of OPF. We study the uniqueness of the OPF solution using differential topology especially the Poincare-Hopf Index Theorem, and characterize its global uniqueness for simple network topologies, e.g., line and mesh networks. This serves as a starting point to design local algorithms with global behavior that have low complexity and are computationally fast for practical smart power grids.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/SmartGridComm.2012.6486058DOIArticle
http://ieeexplore.ieee.org/document/6486058/PublisherArticle
ORCID:
AuthorORCID
Cai, Desmond W. H.0000-0001-9207-1890
Additional Information:© 2012 IEEE. The authors acknowledge helpful discussions with Steven Low at the California Institute of Technology.
Subject Keywords:Artificial intelligence, Chaotic communication
DOI:10.1109/SmartGridComm.2012.6486058
Record Number:CaltechAUTHORS:20170810-112949782
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170810-112949782
Official Citation:Chee Wei Tan, D. W. H. Cai and Xin Lou, "DC optimal power flow: Uniqueness and algorithms," 2012 IEEE Third International Conference on Smart Grid Communications (SmartGridComm), Tainan, 2012, pp. 641-646. doi: 10.1109/SmartGridComm.2012.6486058 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6486058&isnumber=6485945
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80119
Collection:CaltechAUTHORS
Deposited By: Linqi Guo
Deposited On:14 Aug 2017 19:36
Last Modified:15 Nov 2021 17:52

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