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Scheduled-Asynchronous Distributed Algorithm for Optimal Power Flow

delete2019-03-01
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Chin-Yao Chang *
J
Jorge Cortés
S
Sonia Martı́nez
DOI:10.1109/TCNS.2018.2809963delete
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摘要

摘要

En 中文
Optimal power flow (OPF) problems are nonconvex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming formulation of the OPF problem. In this formulation, every agent seeks to solve a local optimization with its own cost function, physical constraints on its nodal power injection, voltage, and power flow of the lines it is connected to, and decision constraints on variables shared with neighbors to ensure consistency of the obtained solution. In the scheduled-asynchronous algorithm, every pair of connected nodes in the electrical network update their local variables in an alternating fashion. This strategy is asynchronous, in the sense that no clock synchronization is required, and relies on an orientation of the electrical network that prescribes the precise ordering of node updates. We establish the asymptotic convergence properties to the primal-dual optimizer when the orientation is acyclic. Given the dependence of the convergence rate on the network orientation, we also develop a distributed graph coloring algorithm that finds an orientation with diameter at most five for electrical networks. Simulations illustrate our results on various IEEE bus test cases.
Keyword:
Distributed algorithms
optimal power flow
semidefinite programming
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期刊

IEEE Transactions on Control of Network Systems 封面图
IEEE Transactions on Control of Network Systems
IF:
5
论文数:
1.7K
被引数:
5.9K

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University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 3.5W
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