Open AccessA semismooth Newton method for solving optimal power flow
Author(s) -
Xiaojiao Tong,
F.F. Wu,
Yongping Zhang,
Yan Zheng,
Yixin Ni
Publication year - 2007
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2007.3.553
Subject(s) - newton's method , flow (mathematics) , computer science , power flow , power (physics) , mathematical optimization , calculus (dental) , mathematics , medicine , nonlinear system , electric power system , physics , thermodynamics , quantum mechanics , geometry , dentistry
In this paper, we present some new optimization approaches to solve optimal power flow (OPF) problems. By using a so-called Nonlinear Complementarity Problem (NCP) function, the optimality condition (KKT system) of the original optimization problem is reformulated into a set of nonsmooth equations. The advantage of the new reformulation lies in that the inequality constraints are transformed into equations. The semismooth Newton-type method is applied to solve the reformulated equations. Moreover, we present a decoupled semismooth Newton method according to the inherent weak-coupling characteristics of power systems. The convergence of the new methods, especially for the decoupled method, are established. Numerical examples of both OPF and available transfer capability (ATC) problems demonstrate that the new algorithms are effective.link_to_subscribed_fulltex