{ "id": "1807.08785", "version": "v1", "published": "2018-07-23T18:54:32.000Z", "updated": "2018-07-23T18:54:32.000Z", "title": "A Study on the Strong Duality of Conic Relaxation of AC Optimal Power Flow in Radial Networks", "authors": [ "Xiaoyu Cao", "Jianxue Wang", "Bo Zeng" ], "comment": "3 pages", "categories": [ "math.OC" ], "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.", "revisions": [ { "version": "v1", "updated": "2018-07-23T18:54:32.000Z" } ], "analyses": { "keywords": [ "ac optimal power flow", "strong duality", "radial networks", "conic relaxation", "real-world distribution network" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }