dc.contributorIEEE
dc.contributorUniversidade de São Paulo (USP)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:22:39Z
dc.date.available2014-05-27T11:22:39Z
dc.date.created2014-05-27T11:22:39Z
dc.date.issued2007-12-01
dc.identifier2007 IEEE Lausanne POWERTECH, Proceedings, p. 98-102.
dc.identifierhttp://hdl.handle.net/11449/70025
dc.identifier10.1109/PCT.2007.4538299
dc.identifier2-s2.0-50849096657
dc.identifier8479687404526958
dc.identifier0000-0002-5642-8925
dc.description.abstractThis paper presents an analyze of numeric conditioning of the Hessian matrix of Lagrangian of modified barrier function Lagrangian method (MBFL) and primal-dual logarithmic barrier method (PDLB), which are obtained in the process of solution of an optimal power flow problem (OPF). This analyze is done by a comparative study through the singular values decomposition (SVD) of those matrixes. In the MBLF method the inequality constraints are treated by the modified barrier and PDLB methods. The inequality constraints are transformed into equalities by introducing positive auxiliary variables and are perturbed by the barrier parameter. The first-order necessary conditions of the Lagrangian function are solved by Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, allowing the limits of the inequality constraints to be reached. The electric systems IEEE 14, 162 and 300 buses were used in the comparative analysis. ©2007 IEEE.
dc.languageeng
dc.relation2007 IEEE Lausanne POWERTECH, Proceedings
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectModified barrier function
dc.subjectNewton's method
dc.subjectNonlinear programming
dc.subjectOptimal power flow
dc.subjectMathematical models
dc.subjectMatrix algebra
dc.subjectNewton-Raphson method
dc.subjectPower electronics
dc.subjectInequality constraints
dc.subjectLagrange multipliers
dc.titleAnalysis of numeric conditioning of Hessian matrix of Lagrangian via singular values
dc.typeActas de congresos


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