A convex relaxation approach for power flow problem

• 作者: Guangyi LIU Jianhui WANG Mohammad E.KHODAYAR Renchang DAI Saeed D.MANSHADI
• 来源期刊: 现代电力系统与清洁能源学报(英文)
• 学科: 工学
• 关键词: CONVEX RELAXATION ILL-CONDITIONED POWER FLOW POWER FLOW Network RECONFIGURATION
• 年，卷（期）: 2019,（6）
• 页码范围: 1399-1410
• 页数: 12页
• 分类号: TM744

摘要

A solution to the power flow problem is imperative for many power system applications and several iterative approaches are employed to achieve this objective.However,the chance of finding a solution is dependent on the choice of the initial point because of the nonconvex feasibility region of this problem.In this paper,a non-iterative approach that leverages a convexified relaxed power flow problem is employed to verify the existence of a feasible solution.To ensure the scalability of the proposed convex relaxation,the problem is formulated as a sparse semi-definite programming problem.The variables associated with each maximal clique within the network form several positive semidefinite matrices.Perturbation and network reconfiguration schemes are employed to improve the tightness of the proposed convex relaxation in order to validate the existence of a feasible solution for the original non-convex problem.Multiple case studies including an ill-conditioned power flow problem are examined to show the effectiveness of the proposed approach to find a feasible solution.