Robust state estimation of electric power systems

Author

Mili, Lamine ; Cheniae, Michael G. ; Rousseeuw, Peter J.

Author_Institution

Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

Volume

41

Issue

5

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

349

Lastpage

358

Abstract

The exact fit points of the Least Median of Squares (LMS) and the Least Trimmed Squares (LTS) estimators in electric power systems are investigated. The expression of the maximum possible exact fit point δ*_max is derived, and the corresponding quantile index ν of the ordered squared residual is determined. It is found that δ*_max as well as ν hinge on the surplus of the network, defined as one less than the smallest number of measurements whose deletion from the data set decreases the rank of the Jacobian matrix. Based on the surplus concept, a system decomposition scheme is developed; it significantly increases the number of outliers that can be handled by the LMS and the LTS estimators. In addition, it dramatically reduces the computing time of these estimators, opening the door to their application in a real-time environment, even for large-scale systems

Keywords

estimation theory; least squares approximations; power systems; state estimation; Jacobian matrix; LMS estimator; LTS estimator; electric power systems; exact fit points; large-scale systems; least median of squares estimator; least trimmed squares estimator; ordered squared residual; quantile index; real-time environment; robust state estimation; surplus concept; system decomposition scheme; Fasteners; Instruments; Jacobian matrices; Large-scale systems; Least squares approximation; Power measurement; Real time systems; Robustness; State estimation; Strontium;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.296336

Filename

296336