论文标题
OPF放松在具有三角洲连接的三相径向网络上的精确性
Exactness of OPF Relaxation on Three-phase Radial Networks with Delta Connections
论文作者
论文摘要
模拟表明，尽管只有Wye连接的三相径向网络上AC最佳功率流（AC-OPF）的半明确放松往往是准确的，但Delta连接的存在似乎使它们变得不精确。本文表明，这种不精确性源于松弛溶液的非独立性和因非唯一性而扩大的数值误差。这一发现激发了两种算法，以恢复在存在Delta连接的情况下AC-OPF的精确溶液。在使用IEEE 13、37和123总线系统的模拟中，所提出的算法为数值精度提供了精确的最佳解决方案。
Simulations have shown that while semi-definite relaxations of AC optimal power flow (AC-OPF) on three-phase radial networks with only wye connections tend to be exact, the presence of delta connections seem to render them inexact. This paper shows that such inexactness originates from the non-uniqueness of relaxation solutions and numerical errors amplified by the non-uniqueness. This finding motivates two algorithms to recover the exact solution of AC-OPF in the presence of delta connections. In simulations using IEEE 13, 37 and 123-bus systems, the proposed algorithms provide exact optimal solutions up to numerical precision.
