Optimal security-constrained power scheduling by Benders decomposition

• Published in: Electric power systems research Vol. 77; no. 7; pp. 739 - 753
• Main Authors: Martínez-Crespo, Jorge, Usaola, Julio, Fernández, José L.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.05.2007; Elsevier
• Subjects: Applied sciences; Benders decomposition; Constraints solution; Electrical engineering. Electrical power engineering; Electrical power engineering; Electricity markets; Exact sciences and technology; Miscellaneous; Operation. Load control. Reliability; Power networks and lines; Preventive security analysis; Testing. Reliability. Quality control; Transformers and inductors; Benders decomposition; Electricity markets; Preventive security analysis; Constraints solution; Alternating current network; Electric transformer; Energy cost; Output power; Partition method; Power system economics; Reactive power; Language processing; Power pooling; Power markets; IEEE standards; Optimal planning; Safety; Growth from solution; Interconnected power system; Electricity supply industry deregulation; System reliability; Algorithm; Constrained optimization; Bus system; Voltage control device; Electrical network; Economic aspect
• ISSN: 0378-7796; 1873-2046
• DOI: 10.1016/j.epsr.2006.06.009

This paper presents a Benders decomposition approach to determine the optimal day-ahead power scheduling in a pool-organized power system, taking into account dispatch, network and security constraints. The study model considers the daily market and the technical constraints resolution as two different and consecutive processes. The daily market is solved in a first stage subject to economical criteria exclusively and then, the constraints solution algorithm is applied to this initial dispatch through the redispatching method. The Benders partitioning algorithm is applied to this constraints solution process to obtain an optimal secure power scheduling. The constraints solution includes a full AC network and security model to incorporate voltages magnitudes as they are a critical factor in some real power systems. The algorithm determines the active power committed to each generator so as to minimize the energy redispatch cost subject to dispatch, network and security constraints. The solution also provides the reactive power output of the generators, the value of the transformers taps and the committed voltage control devices. The model has been tested in the IEEE 24-bus Reliability Test System and in an adapted IEEE 118-bus Test System. It is programmed in GAMS mathematical modeling language. Some relevant results are reported.