A Study on the Strong Duality of Second-Order Conic Relaxation of AC Optimal Power Flow in Radial Networks
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- A Study on the Strong Duality of Second-Order Conic Relaxation of AC Optimal Power Flow in Radial Networks
- 发表刊物：
- IEEE Transactions on Power Systems
- 摘要：
- For the popular second-order conic program (SOCP) formulation of AC optimal power flow (OPF) in a radial network, this paper first shows that it does not have the strong duality property in general. Then, through a series of restrictive reformulations, we derive a set of closed-form sufficient conditions on network parameters that ensure its strong duality. Numerical studies on IEEE 33-bus, 69-bus test networks and two real-world distribution systems confirm that non-negligible duality gaps do exist in this SOCP formulation, and also demonstrate the validity of proposed sufficient conditions on closing the duality gap. Our results provide an analytical tool to ensure strong duality of the SOCP power flow formulation and to support algorithm developments for its complex extensions.
- 合写作者：
- Xiaoyu Cao, Jianxue Wang, Bo Zeng*
- 是否译文：
- 否
- 发表时间：
- 2021-06-09