2020/05/15 by Fengyu Zhou, Ahmed S. Zamzam, Zhou, Fengyu +5
Engineering · #FOS: Mathematics #Optimal Power Flow Distribution #Optimization and Control (math.OC) #Power System Optimization and Stability #Power System Reliability and Maintenance
paper · pdf · doi:10.48550/arxiv.2005.07803
openalex publication_date 2020/05/15 · openalex created_date 2020/05/21 · openalex updated_date 2026/08/01
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.