2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491)
DOI: 10.1109/pes.2003.1267177
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A new approach type-Newton for optimal reactive dispatch problem

Abstract: This paper presents a new approach that improves the performance of the Newton's method for optimal reactive dispatch problem. In this approach the inequality constraints are divided into two groups: constraints treated by penalty function, which are added to the objective function through penalty factors, and constraints treated by barrier function that are grouped with the set of active constraints (power flow equations). The first order necessary conditions for optimality are reached by Newton's method, and… Show more

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Cited by 6 publications
(3 citation statements)
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“…the matrix of 2 nd -order partial derivatives of the objective function), and ) ( k x f  is the vector of 1 st -order derivatives of the objective function at k x . Examples of the application of Newton's method to the VVO problem can be found in [88]- [90].…”
Section: A2 Second-order Gradient-based Methodsmentioning
confidence: 99%
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“…the matrix of 2 nd -order partial derivatives of the objective function), and ) ( k x f  is the vector of 1 st -order derivatives of the objective function at k x . Examples of the application of Newton's method to the VVO problem can be found in [88]- [90].…”
Section: A2 Second-order Gradient-based Methodsmentioning
confidence: 99%
“…The reliability of Newton's method particularly requires that the difference between the objective function and its 2 ndorder approximation at the current iterate not be too large. Despite these issues, Newton's method is not only a classical method for nonlinear optimization, but also represents an important optimization approach, both efficient and robust for a large class of problems [90].…”
Section: A2 Second-order Gradient-based Methodsmentioning
confidence: 99%
“…A eficiência da abordagem proposta foi verificada resolvendo os sistemas IEEE 30 barras e o brasileiro sul-sudeste. Sousa et al (2003) apresentaram uma nova abordagem para o problema de Despacho Ótimo de Reativos, que melhora o desempenho do Método de Newton. No método proposto, as restrições de desigualdade referentes aos limites para as magnitudes das tensões e para os taps dos transformadores são associadas à função objetivo por meio de uma Função Penalidade; as restrições de desigualdade referentes às injeções de potência reativa são tratadas pelo Método Primal-Dual Barreira Logarítmica.…”
Section: Históricounclassified