Exactness of OPF Relaxation on Three-phase Radial Networks with Delta Connections
Optimization and Control
2020-05-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2005.07803,
title = {Exactness of OPF Relaxation on Three-phase Radial Networks with Delta Connections},
author = {Fengyu Zhou and Ahmed S. Zamzam and Steven H. Low and Nicholas D. Sidiropoulos},
journal= {arXiv preprint arXiv:2005.07803},
year = {2020}
}
Comments
10 pages, 1 figure