Sufficient Conditions for Exact Semidefinite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks

被引：0
|
作者：
Zhou, Fengyu [1 ]
Chen, Yue [2 ]
Low, Steven H. [1 ,3 ]
机构：
[1] CALTECH, Dept Elect Engn, Pasadena, CA 91125 USA
[2] Tsinghua Univ, Dept Elect Engn, State Key Lab Power Syst, Beijing 100084, Peoples R China
[3] CALTECH, Dept Comp & Math Sci, Pasadena, CA 91125 USA
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
关键词：
GRAPHS; NEWTON;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper proves that in an unbalanced multi-phase network with a tree topology, the semidefinite 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.
引用
收藏
页码：6227 / 6233
页数：7
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