Primal-dual logarithmic barrier and augmented Lagrangian function to the loss minimization in power systems
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2006-07-01
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Taylor & Francis Inc
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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.
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Electric Power Components and Systems. Philadelphia: Taylor & Francis Inc., v. 34, n. 7, p. 775-784, 2006.