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

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