A Study on the Strong Duality of Conic Relaxation of AC Optimal Power Flow in Radial Networks

2018/07/23 by Xiaoyu Cao, Jianxue Wang, Cao, Xiaoyu +3
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.1807.08785

openalex publication_date 2018/07/23 · openalex created_date 2018/08/03 · openalex updated_date 2026/07/28

Abstract

This paper proposes a set of closed-form conditions to ensure the strong duality of second-order cone program (SOCP) formulation for AC power flow in radial power networks. In addition, numerical evaluations on IEEE 33-bus test networks and a real-world distribution network are performed to demonstrate the validity of the proposed conditions.

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