Least Median Of Squares Estimation In Power Systems

IEEE Transactions on Power Systems

Volumn 6, Issue 2, 1991, Pages 511-523

  Mili, L ^a   Phaniraj, V ^a   Rousseeuw, P J ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b FREE UNIVERSITY OF BRUSSELS   (Belgium)

Author keywords

breakdown point; Least median of sauares state estimation; leverage point; resampling method

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEMS - ESTIMATION; MATHEMATICAL TECHNIQUES - LEAST SQUARES APPROXIMATIONS; REDUNDANCY; STATISTICAL METHODS - REGRESSION ANALYSIS;

BREAKDOWN POINT; COMBINATORIAL OPTIMIZATION; LEAST MEDIAN OF SQUARES ESTIMATION; LEVERAGE POINT; RESAMPLING METHOD; ROBUSTNESS CONCEPTS;

ELECTRIC POWER SYSTEMS;

EID: 0026157792     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.76693     Document Type: Article

References (21)

1. F. R. Hampel, E. W. Ronchetti, P. J. Rousseeuw and W. A. Stahel, Robust Statistics: the Approach based on Influence Functions, John Wiley, 1986.
2. P. J. Rousseeuw and A. M. Leroy, Robust Regression and Outlier John 1987.
3. P. J. Huber, “Robust Estimation of a Location Parameter”, Annals of Mathematical Statistics, Vol.35, 1964, 73–101.
4. J. W. Tukey, “A Survey of Sampling from Contaminated Distributions”, in I. Olkin (ed.) Contributions to Probability and Statistics, Stanford University Press, 1960, pp. 448–485.
5. F. R. Hampel, “The Influence Curve and its Role in Robust Estimation”, Journal of the American Statistical Association, Vol.69, 1974, pp. 383–393.
6. H. M. Merrill and F. C. Schweppe, “Bad Data Suppression in Power System State Estimation”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-90, No.6, Nov./Dec. 1971, pp. 2718–2725.
7. E. Handschin, F. C. Schweppe, J. Kohlas and A. Fiechter, “Bad Data Analysis for Power System State Estimation”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-94, No.2, March/April 1975, pp. 329–337.
8. M. R. Irving, R. C. Owen and M. Sterling, “Power System State Estimation using Linear Programming”, Proceedings of the IEE, Vol.125, No.9, Sept. 1978, pp. 879-885.
9. D. M. Falcāo and S.M. de Assis, “Linear Programming State Estimation: Error Analysis and Gross Error Identification”, IEEE Transactions on Power Systems, 809–815.
10. L. Mili, Th. Van Cutsem and M. Ribbens-Pavella, “Bad Data Identification Methods in Power System State Estimation - A Comparative Study “, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-104, Nov. 1985, pp. 3037–3049.
11. A. Monticelli, F. F. Wu and M. Yen, “Multiple Bad Data Identification for State Estimation by Combinatorial Optimization”, IEEE Transactions on Power Delivery, Vol. PWRD-1, No.3, July 1986, pp. 361–369.
12. K. A. Clements and P. W. Davis, “Multiple Bad Data Detectability and Identifiability: A Geometric Approach”, IEEE Transactions on Power Delivery, Vol. PWRD-1, No.3, July 1986, pp. 355–360.
13. I. W. Slutsker, “Bad Data Identification in Power System State Estimation Based on Measurement Compensation and Linear Residual Calculation”, IEEE Transactions on Power Systems, Vol.4, No.1 Feb. 1989, pp. 53–60.
14. Th. Van Cutsem and M. Ribbens-Pavella, “Critical Survey of Hierarchical Methods for State Estimation of Electric Power Systems”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-102, No.10, Oct. 1983, pp. 3415–3424.
15. A. Garcia, A. Monticelli and P. Abreu, “Fast Decoupled State Estimation and Bad Data Processing”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-98, No.5, Sept./Oct. 1979, pp. 1645–1652.
16. B. Stott and O. Alsaç “Fast Decoupled Load Flow”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-93, 1974, 859–867.
17. W. F. Tinney, W. L. Powell and J. W. Walker, “Programming of Sparsity-Directed Ordering Schemes”, Proceedings of the PSCC Conference, 1975.
18. S. M. Chan and V. Brandwajn, “Partial Matrix Refactorization”, IEEE Transactions on Power Systems, Vol. PWRS-1, No.1, Feb. 1986 pp. 193–200.
19. G. R. Krumpholz, K. A. Clements and P. W. Davis, “Power System Observability: a Practical Algorithm Using Network Topology”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-99, No.4, July/Aug. 1980, pp. 1534–1542.
20. A. Monticelli and F. F. Wu, “Network Observability”, IEEE Transactions on Power Apparatus and Systems, Vol. May 1985, 1035–1048.
21. F. R. Hampel, “Some Problems in Statistics”, Proceedings of the First World Congress of the Bernoulli Society for Mathematical Statistics and Probability, Tashkent USSR, Sept. 8–14, 1986.