Resolução do problema de fluxo de potência ótimo reativo via método da função lagrangiana barreira modificada

Abstract

SOUSA, V. A. (2006). Resolution of Reactive Optimal Power Flow Problem Via Method of Lagrangian Modified Barrier Function. Ph.D. Thesis – Escola de Engenharia de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, 2006. This work proposes an approach that uses an association of the methods of modified barrier and primal-dual interior points for the resolution of the reactive optimal power flow (OPF) problem. On this purpose, a bibliographical review was accomplished, which enlightened the optimization concepts applied to the static system of electrical energy and the methods dual-Lagrangian, Newton-Lagrangian, primal-dual logarithmic barrier and modified barrier. In this approach, the bounded constraints are transformed in equalities by adding the non-negative slack variables. Those slack variables are relaxed and handled by the modified barrier function. A Lagrangian function is associated to this problem. The equation sets generated by the first-order necessary conditions of the Lagrangian function, were solved by Newton's method. In the computational implementation, sparsity techniques were used. The electric systems used to verify the efficiency of the approach proposed in the solution of the reative OPF problem in three types of tests were of the 3, IEEE 14, 30, 118, 162 and 300 buses, equivalent CESP 440 kV with 53 buses and the equivalent Brazilian south-southeast with 787 buses.