Title :
The solution of optimal power flow based on a semismooth subdifferential method
Author :
Li, Xue ; Li, Yuzeng ; Zhang, Shaohua
Author_Institution :
Dept. of Autom., Shanghai Univ., Shanghai
Abstract :
A semismooth subdifferential method (SSM) for solving optimal power flow (OPF) is presented. The Karush-Kuhn-Tucker (KKT) conditions of OPF system, by introducing nonlinear complementarity problem (NCP) function, are transformed equivalently to a set of semismooth nonlinear algebraic equations. Then an inexact Levenberg-Marquardt (L-M) algorithm based on the subdifferential is improved and employed to solve the equations. The positive definitiveness of the iterative coefficient matrix is enhanced by using L-M parameter, while a reformed nonmonotone line search is used to enforce global convergence. Finally, the effectiveness of the SSM is shown by analyzing the computational performance and convergence characteristic of the proposed algorithm on test systems.
Keywords :
iterative methods; load flow; nonlinear equations; Karush-Kuhn-Tucker conditions; inexact Levenberg-Marquardt algorithm; iterative coefficient matrix; nonlinear complementarity problem function; optimal power flow; semismooth nonlinear algebraic equations; semismooth subdifferential method; Convergence; Iterative algorithms; Iterative methods; Load flow; Nonlinear equations; Performance analysis; Power generation economics; Reactive power; System testing; Transmission line matrix methods; nonlinear complementarity problem; nonmonotone line search; optimal power flow; subdifferential;
Conference_Titel :
Electric Utility Deregulation and Restructuring and Power Technologies, 2008. DRPT 2008. Third International Conference on
Conference_Location :
Nanjuing
Print_ISBN :
978-7-900714-13-8
Electronic_ISBN :
978-7-900714-13-8
DOI :
10.1109/DRPT.2008.4523655
