DocumentCode :
1187063
Title :
Power System Static State Estimation By the Levenberg-Marquardt Algorithm
Author :
Rao, N.D. ; Tripathy, S.C.
Author_Institution :
Department of Electrical Engineering The University of Calgary
Issue :
2
fYear :
1980
fDate :
3/1/1980 12:00:00 AM
Firstpage :
695
Lastpage :
702
Abstract :
This paper presents a modified version of the weighted least-square (WLS) estimator, using the Levenberg-Marquardt (L-M) algorithm for application to Ill-conditioned power systems. This algorithm essentially amounts to modifying the Gauss-Newton normal equations by adding a scalar to each element of the main diagonal of the information matrix. The L-M method reduces to either Gauss-Newton or Steepest Descent approach, according as the scalar tends to zero or infinity. Digital simulation results are presented on a structurally ill-conditioned (singular Jacobian) sample power system to illustrate the range of application of the method. It is found that the introduction of a scalar (Marquardt-Constant) achieves convergence to a solution in spite of the presence of ill-conditioning. In the event that this solution does not correspond to the true solution because of local singularities, the additional use of a Householder orthogonal transforma- tion leads to the true solution.
Keywords :
Digital simulation; Equations; H infinity control; Jacobian matrices; Least squares methods; Newton method; Power system simulation; Power systems; Recursive estimation; State estimation;
fLanguage :
English
Journal_Title :
Power Apparatus and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9510
Type :
jour
DOI :
10.1109/TPAS.1980.319662
Filename :
4113854
Link To Document :
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