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Resistive Network Optimal Power Flow: Uniqueness and Algorithms

delete2015-01-01
delete15
PRE
AI
C
Chee Wei Tan *
D
Desmond Cai
X
Xin Lou
DOI:10.1109/TPWRS.2014.2329324delete
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摘要

摘要

En 中文
The optimal power flow (OPF) problem minimizes the power loss in an electrical network by optimizing the voltage and power delivered at the network buses, and is a nonconvex problem that is generally hard to solve. By leveraging a recent development on the zero duality gap of OPF, we propose a second-order cone programming convex relaxation of the resistive network OPF, and study the uniqueness of the optimal solution using differential topology, especially the Poincare-Hopf Index Theorem. We characterize the global uniqueness for different network topologies, e.g., line, radial, and mesh networks. This serves as a starting point to design distributed local algorithms with global behaviors that have low complexity, are computationally fast, and can run under synchronous and asynchronous settings in practical power grids.
Keyword:
Differential topology
distributed algorithm
optimal power flow
optimization
power system
second-order cone programming
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期刊

IEEE Transactions on Power Systems 封面图
IEEE Transactions on Power Systems
IF:
7.2
论文数:
1.1W
被引数:
5.0W

机构

C
California Institute of Technology
学者数:
2.9W
论文数: 2.5W
被引数: 4.9W
C
City University of Hong Kong
学者数:
2.3W
论文数: 3.0W
被引数: 6.1W
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