DC optimal power flow: Uniqueness and algorithms

Chee Wei Tan; Desmond W.H. Cai; Xin Lou

doi:10.1109/SmartGridComm.2012.6486058

DC optimal power flow: Uniqueness and algorithms

Chee Wei Tan, Desmond W.H. Cai, Xin Lou

City University of Hong Kong

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

6 Citations (Scopus)

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. © 2012 IEEE.

Original language	English
Title of host publication	2012 IEEE 3rd International Conference on Smart Grid Communications, SmartGridComm 2012
Pages	641-646
DOIs	https://doi.org/10.1109/SmartGridComm.2012.6486058
Publication status	Published - 2012
Event	2012 IEEE 3rd International Conference on Smart Grid Communications, SmartGridComm 2012 - Tainan, Taiwan, China Duration: 5 Nov 2012 → 8 Nov 2012

Conference

Conference	2012 IEEE 3rd International Conference on Smart Grid Communications, SmartGridComm 2012
Place	Taiwan, China
City	Tainan
Period	5/11/12 → 8/11/12

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title = "DC optimal power flow: Uniqueness and algorithms",

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. {\textcopyright} 2012 IEEE.",

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year = "2012",

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N2 - 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. © 2012 IEEE.

AB - 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. © 2012 IEEE.

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DO - 10.1109/SmartGridComm.2012.6486058

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781467309110

SP - 641

EP - 646

BT - 2012 IEEE 3rd International Conference on Smart Grid Communications, SmartGridComm 2012

Y2 - 5 November 2012 through 8 November 2012

ER -

DC optimal power flow: Uniqueness and algorithms

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