DocumentCode :
798939
Title :
Iterative solvers in the Newton power flow problem: preconditioners, inexact solutions and partial Jacobian updates
Author :
De León, F. ; Sernlyen, A.
Author_Institution :
Div. de Estudios de Posgrado, Univ. Michoacana, Michoacan, Mexico
Volume :
149
Issue :
4
fYear :
2002
fDate :
7/1/2002 12:00:00 AM
Firstpage :
479
Lastpage :
484
Abstract :
A comparative study of available iterative solvers (for linear systems of equations) applied to the solution of the nonlinear Newton power flow problem is presented. Iterative solvers are combined with Newton´s method and an optimal stopping strategy is included to obtain an efficient solution for large power systems. Using the solvers and preconditioners available in Matlab, it is shown that iterative solvers are more efficient than the direct LU solution for large power systems. An easy to implement refinement is the introduction of partial Jacobian updates to avoid additional computations when an equation has reached the convergence tolerance. For large power systems (3000 buses and more), we have obtained savings (in flops) in the order of 25% compared to the direct LU solution. A convergence characterisation of the Newton power flow based on the Jacobian´s spectrum and its condition number is also presented
Keywords :
Newton method; load flow; 3000 buses; Matlab; Newton power flow problem; convergence characterisation; convergence tolerance; direct LU solution; inexact solutions; iterative solvers; large power systems; linear systems of equations; nonlinear Newton power flow problem; optimal stopping strategy; partial Jacobian updates; preconditioners;
fLanguage :
English
Journal_Title :
Generation, Transmission and Distribution, IEE Proceedings-
Publisher :
iet
ISSN :
1350-2360
Type :
jour
DOI :
10.1049/ip-gtd:20020172
Filename :
1024195
Link To Document :
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