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Primal-Dual Logarithmic Barrier and Augmented Lagrangian Function to the Loss Minimization in Power Systems

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This article presents a new approach to minimize the losses in electrical power systems. This approach considers the application of the primal-dual logarithmic barrier method to voltage magnitude and tap-changing transformer variables, and the other inequality constraints are treated by augmented Lagrangian method. The Lagrangian function aggregates all the constraints. The first-order necessary conditions are reached by Newton's method, and by updating the dual variables and penalty factors. Test results are presented to show the good performance of this approach.

Keywords: barrier function; nonlinear programming; optimization methods; reactive dispatch

Document Type: Research Article


Affiliations: 1: São Paulo State University (UNESP), Bauru, SP, Brazil 2: São Paulo University (USP), São Carlos, SP, Brazil

Publication date: 2006-07-01

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