Reconfiguración de Sistemas de Distribución utilizando el Método de Newton en Formulaciones Cuadráticas (Reconfiguration of Distribution Systems using the Newton Method in Quadratic Formulations)

Ana María García Cabezas (acabezas@pea.usp.br), Hernán Prieto Schmidt (hernanps2@gmail.com), Nelson Kagan (nelsonk@pea.usp.br), Marcos Roberto Gouvêa (gouvea@pea.usp.br), Paulo Agozzini Martin (agozzini@ime.usp.br)


Universidad de Sao Paulo
This paper appears in: Revista IEEE América Latina

Publication Date: June 2008
Volume: 6,   Issue: 2 
ISSN: 1548-0992


Abstract:
The distribution system reconfiguration problem is concerned with finding the state of all switches in a set of primary distribution feeders so that a given objective function is optimised, typically the minimisation of the total electrical loss. Constraints such as Kirchhoff’s Current Law (KCL) and branch capacity are usually enforced. An additional and important constraint is also imposed so that the obtained solutions are all radial. This optimisation problem is a Mixed-Integer Non-Linear Optimisation Problem, in which the integer variables represent the state of the switches and the continuous variables represent the current flowing through the branches. The paper develops new quadratic formulations for the continuous part of the problem. It is shown that all the formulations lead to convex problems, which guarantees that the global minimum is unique and hence allows an efficient application of the standard Newton Method. The paper also presents a new integer search based on the well-known Branch-and-Bound Method. Results from the application of the proposed approaches to three different distribution systems are presented and discussed.

Index Terms:
System reconfiguration, loss minimization, energy distribution   


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