Restrições funcionais de desigualdade no FPO Newton tratadas pelo metodo da continuação

AUTOR(ES)

Marcos Trevisan Vasconcellos

DATA DE PUBLICAÇÃO

1995

RESUMO

One of the best algorithms to solve the Optimal Power Flow (OPF) problem is Newton s method applied to calculate the stationary point of a quadratic approximation to the Lagrangian function, which represents the Kunh- Tucker s first order conditions. Equality constraints are included through Lagrange multipliers, while inequality constraints on variables are handled via quadratic penalty functions. The innovation introduced by this work is the inequality functional constraints treatment, specially on reactive power resoUfces, accomplished through the Continuation method. The goal is to turn violated constraints feasible and identify the active constraint (binding) set by creating relaxed parameterized sub-problems. After identifying the binding set, violated inequality constraints are handled as parameterized equality constraints. Using Newton s method as corrector step, the algorithm reaches a feasible perhaps optimal solution. Then one performs the analysis of Lagrange multipliers associated to the binding constraints in order to determine some constraints bound to become inactive. If such ones exist, they are relaxed and the OPF solved again, taking care not to include them in the active set. Finally, the solution will be feasible an the binding set identifyed in a few Newton iterations. The method proposed is able to minimÍze active losses and guarantee feasibility on reactive power resouces available in the electric system. This characteristics appear in tests performed with 14, 30, 57 and 118 buses IEEE electric systems

ASSUNTO(S)

engenharia eletrica

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