Tesis Doctoral
DOI
10.11606/T.18.2013.tde-29042013-114259
Documento
Autor
Nombre completo
Guilherme Guimarães Lage
Área de Conocimiento
Fecha de Defensa
Publicación
São Carlos, 2013
Director
Tribunal
Costa, Geraldo Roberto Martins da (Presidente)
Oliveira, Aurélio Ribeiro Leite de
Silva, Luiz Carlos Pereira da
Sousa, Thales
Vieira Júnior, José Carlos de Melo
Título en portugués
O fluxo de potência ótimo reativo com variáveis de controle discretas e restrições de atuação de dispositivos de controle de tensão
Palabras clave en portugués
Algoritmo da FLBMP-discreto
Fluxo de potência ótimo reativo
Programação não linear
Variáveis discretas
Resumen en portugués
Título en inglés
The reactive optimal power flow with discrete control variables and voltage-control actuation constraints
Palabras clave en inglés
Complementarity constraints
Discrete PMBLF algorithm
Discrete variables
Nonlinear programming
Penalty-modified barrier Lagrangian function method
Reactive optimal power flow
Resumen en inglés
This work proposes a novel model and a new approach for solving the reactive optimal power flow problem with discrete control variables and voltage-control actuation constraints. Mathematically, such problem is formulated as a nonlinear programming problem with continuous and discrete variables and complementarity constraints, whose proposed resolution approach is based on solving a sequence of modified problems by the discrete penalty-modified barrier Lagrangian function algorithm. In this approach, the original problem is modified in the following way: 1) the discrete variables are treated as continuous by sinusoidal functions incorporated into the objective function of the original problem; 2) the complementarity constraints are transformed into equivalent inequality constraints; and 3) the inequality constraints are transformed into equality constraints by the addition of non-negative slack variables. To solve the modified problem, the non-negativity condition of the slack variables is treated by a modified barrier function with quadratic extrapolation. The modified problem is transformed into a Lagrangian problem, whose solution is determined by the application of the first-order necessary optimality conditions. In the discrete penalty- modified barrier Lagrangian function algorithm, a sequence of modified problems is successively solved until all the variables of the modified problem that are associated with the discrete variables of the original problem assume discrete values. The efectiveness of the proposed model and the robustness of this approach for solving reactive optimal power flow problems were verified with the IEEE 14, 30, 57 and 118-bus test systems and the 440 kV CESP 53-bus equivalent system. The results show that the proposed approach for solving nonlinear programming problems successfully handles discrete variables and complementarity constraints.

ADVERTENCIA - La consulta de este documento queda condicionada a la aceptación de las siguientes condiciones de uso:
Este documento es únicamente para usos privados enmarcados en actividades de investigación y docencia. No se autoriza su reproducción con finalidades de lucro. Esta reserva de derechos afecta tanto los datos del documento como a sus contenidos. En la utilización o cita de partes del documento es obligado indicar el nombre de la persona autora.
Guilherme.pdf (6.06 Mbytes)
Fecha de Publicación
2013-06-05