Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Solving large-scale reactive optimal power flow problems by a primal–dual M2BF approach
In this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M2BF is a modification of the Polyak’s modified logarithmic barrier function (MBF) and is also a particular element of a recent family of nonquadratic penalty functions for augmented Lagrangian methods for handling convex problems only with inequality constraints. We also propose a global convergence strategy to be inserted in the proposed algorithm, which is developed over weak assumptions concerning the primal Hessian matrix. The resulting predictor–corrector primal–dual M2BF approach is applied for solving ORPF problems involving power systems with 57, 89, 118, 200, 300, 1354, 2007 and 2869 buses. A comparison with two state-of-the-art methods is performed. Numerical results show that the proposed approach is competitive and capable of solving ORPF problems for small to large-scale power systems.
Solving large-scale reactive optimal power flow problems by a primal–dual M2BF approach
In this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M2BF is a modification of the Polyak’s modified logarithmic barrier function (MBF) and is also a particular element of a recent family of nonquadratic penalty functions for augmented Lagrangian methods for handling convex problems only with inequality constraints. We also propose a global convergence strategy to be inserted in the proposed algorithm, which is developed over weak assumptions concerning the primal Hessian matrix. The resulting predictor–corrector primal–dual M2BF approach is applied for solving ORPF problems involving power systems with 57, 89, 118, 200, 300, 1354, 2007 and 2869 buses. A comparison with two state-of-the-art methods is performed. Numerical results show that the proposed approach is competitive and capable of solving ORPF problems for small to large-scale power systems.
Solving large-scale reactive optimal power flow problems by a primal–dual M2BF approach
Optim Eng
Pinheiro, Ricardo B. N. M. (Autor:in) / Nepomuceno, Leonardo (Autor:in) / Balbo, Antonio R. (Autor:in)
Optimization and Engineering ; 21 ; 485-515
01.06.2020
31 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Optimal Reactive Power Flow , Primal–dual <inline-formula id="IEq6"><alternatives><mml:math><mml:mrow><mml:msup><mml:mtext>M</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:mtext>BF</mml:mtext></mml:mrow></mml:math><inline-graphic xlink:href="11081_2019_9451_Article_IEq6.gif" /></alternatives></inline-formula> , Augmented Lagrangian methods , Interior/exterior-point method Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operations Research/Decision Theory , Financial Engineering , Mathematics and Statistics
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