Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach

• Autor(a) principal: Pinheiro, Ricardo B. N. M. [UNESP]
• Data de Publicação: 2019
• Outros Autores: Nepomuceno, Leonardo [UNESP], Balbo, Antonio R. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/s11081-019-09451-4; http://hdl.handle.net/11449/189390
• topic: Augmented Lagrangian methods; Interior/exterior-point method; Optimal Reactive Power Flow; Primal–dual M 2BF

In this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M 2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M 2BF 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 M 2BF 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.