Distribution Systems Reconfiguration Based on OPF Using Benders Decomposition

• Published in: IEEE transactions on power delivery Vol. 24; no. 4; pp. 2166 - 2176
• Main Authors: Khodr, H.M., Martinez-Crespo, J., Matos, M.A., Pereira, J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Admittance; Algorithms; Applied sciences; Benders decomposition; Buses (vehicles); Capacitors; Distributed power generation; distribution system; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Load flow; Load management; Mathematical models; Miscellaneous; Networks; Nonlinear programming; Operation. Load control. Reliability; optimal power flow (OPF); Optimization; Power generation; Power networks and lines; Power system modeling; Reactive power; Reconfiguration; Substations; Transformers; Performance evaluation; Optimization method; Non linear programming; reconfiguration; Electrical network analysis; Benders decomposition; optimization; Optimal operation; Power losses; Voltage; Reconfigurable architectures; Load balancing; Mathematical model; Distribution network; Substation; Multistage method; Mixed integer programming; distribution system; Nonlinear problems; Algorithm; Bus system; optimal power flow (OPF); Optimal power flow; Electrical network; Feasibility; Effectiveness factor
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2009.2027510

This paper presents a new and efficient methodology for distribution network reconfiguration integrated with optimal power flow (OPF) based on a Benders decomposition approach. The objective minimizes power losses, load balancing among feeders, and is subject to constraints: capacity limit of branches, minimum and maximum power limits of substations or distributed generators, minimum deviation of bus voltages, and radial optimal operation of networks. A specific approach of the generalized Benders decomposition algorithm is applied to solve the problem. The formulation can be embedded under two stages: the first one is the master problem and is formulated as a mixed integer nonlinear programming problem. This stage determines the radial topology of the distribution network. The second stage is the slave problem and is formulated as a nonlinear programming problem. This stage is used to determine the feasibility of the Master problem solution by means of an OPF and provides information to formulate the linear Benders cuts that connect both problems. The model is programmed in the general algebraic modeling system. The effectiveness of the proposal is demonstrated through three examples extracted from the literature.