Robust Estimation Theory for Bad Data Diagnostics in Electric Power Systems

Control and Dynamic Systems

Volumn 37, Issue C, 1990, Pages 271-325

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

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

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85013514874     PISSN: 00905267     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-12-012737-5.50012-8     Document Type: Chapter

References (71)

1. Van Slyck, L.S., Allemong, J., “Operating Experience with the AEP State Estimator”. IEEE Transactions on Power Systems 3:No. 2 (May 1988), 521–528.
2. Adibi, M.M., Thorne, D.K., “Remote Measurement Calibration”. IEEE Transactions on Power Systems PWRS-1:No. 2 (May 1986), 194–203.
3. Hampel, F.R., Ronchetti, E.W., Rousseeuw, P.J., Stahel, W.A., Robust Statistics : the Approach based on Influence Functions, 1986, John Wiley.
4. Beckman, R.J., Cook, R.D., “Outliers”. Technometrics 25:No. 2 (May 1983), 119–163.
5. Barnett, V., Lewis, T., Outliers in Statistical Data, 2nd edition, 1984, John Wiley.
6. Hawkins, D.M., Identification of Outliers, 1980, Chapman and Hall.
7. Schweppe, F.C., Wildes, J., Rom, D.B., “Power System Static State Estimation, Part I, II and III”. IEEE Transactions on Power Apparatus and Systems PAS-89:No. 1 (January 1970), 120–135.
8. Handschin, E., Schweppe, F.C., Kohlas, J., Fiechter, A., “Bad Data Analysis in Power System Estimation”. IEEE Transactions on Power Apparatus and Systems PAS-94:No. 2 (March/April 1975), 329–337.
9. Monticelli, A., Wu, F.F., Yen, M., “Multiple Bad Data Identification for State Estimation by Combinatorial Optimization”. IEEE Transaction on Power Delivery PWRD-1:No. 3 (July 1986), 361–369.
10. Clements, K.A., Davis, P.W., “Multiple Bad Data Detectability and Identifiability: a Geometric Approach”. IEEE Transactions on Power Delivery PWRD-1:No. 3 (July 1986), 355–360.
11. Mili, L., Van Cutsem, Th., Ribbens-Pavella, M., “Hypothesis Testing Identification: a New Method for Bad Data Analysis in Power System State Estimation”. IEEE Transactions on Power Apparatus and Systems PAS-103 (Nov. 1984), 3239–3252.
12. Mili, L., Van Cutsem, Th., Ribbens-Pavella, M., “Bad Data Identification Methods in Power System State Estimation – a Comparative Study”. IEEE Transactions on Power Apparatus and Systems PAS-104 (Nov. 1985), 3037–3049.
13. Mili, L., Van Cutsem, Th., Ribbens-Pavella, M., “Decision Theory for Fault Diagnosis in Electric Power Systems”. Automatica 23:No. 3 (1987), 335–353.
14. Mili, L., Van Cutsem, Th., “Implementation of the Hypothesis Testing Identification in Power System State Estimation”. IEEE Transactions on Power Systems 3:No. 3 (Aug. 1988), 887–893.
15. Xiang, N., Wang, S., Yu, E., “A New Approach for Detection and Identification of Multiple Bad Data in Power System State Estimation”. IEEE Transactions on Power Apparatus and Systems PAS-101:No. 2 (Feb. 1982), 454–462.
16. Merrill, H.M., Schweppe, F.C., “Bad Data Suppression in Power System State Estimation”. IEEE Transactions on Power Apparatus and Systems PAS-90:No. 6 (Nov./Dec. 1971), 2718–2725.
17. 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.
18. Kotiuga, W., Vidyasagar, M., “Bad Data Rejection Properties of Weighted Least Absolute Value Techniques Applied to Static State Estimation”. IEEE Transactions on Power Apparatus and Systems PAS-101:No. 4 (April 1982), 844–853.
19. Rousseeuw, P.J., Leroy, A.M., Robust Regression and Outlier Detection, 1987, John Wiley.
20. Huber, P.J., “Robust Estimation of a Location Parameter”. Annals of Mathematical Statistics 35 (1964), 73–101.
21. F. R. Hampel, Contributions to the Theory of Robust Estimation, Ph.D Thesis, University of California, Berkeley, 1968.
22. Tukey, J.W., “A Survey of Sampling from Contaminated Distributions”. Olkin, I., (eds.) Contributions to Probability and Statistics, 1960, Stanford University Press, 448–485.
23. Rousseeuw, P.J., “Least Median of Squares Regression”. Journal of the American Statistical Association 79:No. 388 (1984), 871–880.
24. Hampel, F.R., “Beyond Location Parameters : Robust Concepts and Methods”. Bulletin of the International Statistical Institute 46 (1975), 375–391 Book 1.
25. Pearson, E.S., Chandra Sekar, C., “The Efficiency of Statistical Tools and a Criterion for the Rejection of Outlying Observations”. Biometrika 28 (1936), 308–320.
26. Box, G.E.P., “Non-normality and Tests of Variance”. Biometrika 40 (1953), 318–335.
27. Anscombe, F.J., “Rejection of Outliers”. Technometrics 2 (1960), 123–147.
28. Lehmann, E., Testing Statistical Hypotheses, 1959, John Wiley.
29. Huber, P.J., Robust Statistics, 1981, John Wiley.
30. Hampel, F.R., “A General Qualitative Definition of Robustness”. Annals of Mathematical Statistics 42 (1971), 1887–1896.
31. Hampel, F.R., “The Influence Curve and its Role in Robust Estimation”. Journal of the American Statistical Association 69 (1974), 383–393.
32. Billingsley, P., Probability and Measure, 1986, John Wiley.
33. Donoho, D.L., Huber, P.J., “The Notion of Breakdown Point”. Bickel, P.J., Doksum, K.A., Hodges, J.L., (eds.) A Festschrift for Erich L. Lehmann, 1983, Wadsworth.
34. Andrews, D.F., Bickel, P.J., Hampel, F.R., Huber, P.J., Rogers, W.H., Tukey, J.W., Robust Estimates of Location: Survey and Advances, 1972, Princeton University Press.
35. Hampel, F.R., “The Breakdown of the Mean Combined with some Rejection Rules”. Technometrics 27:No. 2 (May 1985), 95–107.
36. Hoaglin, D.C., Mosteller, F., Tukey, J.W., Understanding Robust and Exploratory Data Analysis, 1983, John Wiley.
37. Krumpholz, G.R., Clements, K.A., Davis, P.W., “Power System Observability: a Practical Algorithm Using Network Topology”. IEEE Transactions on Power Apparatus and Systems PAS-99:No. 4 (July/Aug. 1980), 1534–1542.
38. Monticelli, A., Wu, F.F., “Network Observability”. IEEE Transaction on Power Apparatus and Systems PAS-104:No. 5 (May 1985), 1035–1048.
39. F. R. Hampel, “Optimally Bounding the Gross-error-sensitivity and the Influence of Position in Factor Space”, Proceedings of the ASA Statistical Computing Section, 1978, pp. 59–64.
40. L. Mili, V. Phaniraj and P. J. Rousseeuw, “Least Median of Squares Estimation in Electric Power Systems”, Submitted for Presentation at the IEEE Winter Meeting, Atlanta, Georgia, Feb. 1990.
41. Broussole, F., “State Estimation in Power Systems: Detecting Bad Data Through the Sparse Inverse Matrix Method”. IEEE Transactions on Power Apparatus and Systems PAS-97:No. 3 (May/June 1978), 678–682.
42. Garcia, A., Monticelli, A., Abreu, P., “Fast Decoupled State Estimation and Bad Data Processing”. IEEE Transactions on Power Apparatus and Systems PAS-98:No. 5 (Sept./Oct. 1979), 1645–1651.
43. Van Cutsem, Th., Ribbens-Pavella, M., “Critical Survey of Hierarchical Methods for State Estimation of Electric Power Systems”. IEEE Transactions on Power Apparatus and Systems PAS-102:No. 10 (1983), 3415–3424.
44. A. Bose and K. A. Clements, “Real-Time Modeling of Power Networks”, Proceedings of the IEEE, Vol. 75, No. 12, Dec. 1987, pp. 1607–1622.
45. F. C. Schweppe and E. Handschin, “Static State Estimation in Electric Power Systems”, Proceedings of the IEEE, Vol. 62, No. 7, July 1974, pp. 972–982.
46. Cook, R.D., Weisberg, S., Residuals and Influence in Regression, 1982, Chapman and Hall.
47. Belsley, D.A., Kuh, E., Welsch, R.E., Regression Diagnostics: Identifying Influential Data and Sources of Collinearity, 1980, John Wiley.
48. Kotiuga, W.W., “Development of a Least Absolute Value Tracking State Estimator”. IEEE Transactions on Power Apparatus and Systems PAS-104:No. 5 (May 1985), 1160–1166.
49. Falcão, D.M., de Assis, S.M., “Linear Programming State Estimation: Error Analysis and Gross Error Identification”. IEEE Transaction on Power Systems 3:No. 3 (Aug. 1988), 809–815.
50. H. Muller, “An Approach to Suppression of Unexpected Large Measurement Errors in Power Systems”, Proceedings of the 5th PSCC Conference, Cambridge, 1975, Paper no. 2.3/5.
51. G. H. Couch, A. C. Sullivan and J. A. Dembecki, “Results from a Decoupled State Estimator with Transformer Ratio Estimation for a 5 GW Power System in the Presence of Bad Data”, Proceedings of the 5th PSCC Conference, Cambridge, 1975, Paper no. 2.3/3.
52. D. M. Falcão, S. M. Karaki and A. Brameller, “Nonquadratic State Estimation: a Comparison of Methods”, Proceedings of the 7th PSCC Conference, Lausanne, 1981, pp. 1002–1006.
53. Falcão, D.M., Cooke, P.A., Brameller, A., “Power System Tracking State Estimation and Bad Data processing”. IEEE Transactions on Power Apparatus and Systems PAS-101:No. 2 (Feb. 1982), 325–333.
54. Lo, K.L., Ong, P.S., McColl, R.D., Moffatt, A.M., Sulley, J.L., “Development of a Static State Estimator, Part I, II and III”. IEEE Transactions on Power Apparatus and Systems Volume PAS-102:No. 8 (Aug. 1983), 2486–2500.
55. Zhuang, F., Balasubramanian, K., “Bad Data Suppression in Power System State Estimation with a Variable Quadratic-constant Criterion”. IEEE Transactions on Power Apparatus and Systems PAS-104:No. 4 (April 1985), 1738–1744.
56. Huber, P.J., “Robust Regression: Asymptotics, Conjectures and Monte Carlo”. Annals of Statistics 1:No. 5 (1973), 799–821.
57. R. W. Hill, Robust Regression when there are Outliers in the Carriers, Ph.D thesis, Harvard University, 1977.
58. Mallows, C.L., On Some Topics in Robustness, 1975, Bell Telephone Laboratories, Murray Hill, N.J. Unpublished Memorandum.
59. Krasker, W.S., Welsch, R.E., “Efficient Bounded—influence Regression Estimation”. Journal of the American Statistical Association 77:No. 379 (1982), 595–604.
60. Marazzi, A., “On the Numerical Solution of Bounded Influence Regression Problems”, 1986, Physica-Verlag for IASC, 114–119 COMPSTAT 1986.
61. 1 – norm and Related Methods, Neuchâtel Switzerland, 1987.
62. Maronna, R.A., “Robust M-estimators of Multivariate Location and Scatter”. Annals of Statistics 4:No. 1 (1976), 51–67.
63. Maronna, R.A., Butos, O.H., Yohai, V.J., “Bias-and-efficiency Robustness of General M-estimators for Regression with Random Carriers”. Gasser, T., Rosenblass, M., (eds.) Smoothing Techniques for Curve Estimation, 1979, Springer-Verlag, 91–116 Lecture Notes in Mathematics 757.
64. Siegel, A.F., “Robust Regression using Repeated Medians”. Biometrika 69:No. 1 (1982), 242–244.
65. Rousseeuw, P.J., Yohai, V.J., “Robust Regression by Means of S-estimators”. Franke, J., Härdle, W., Martin, R.D., (eds.) Robust and Nonlinear Time Series Analysis, 1984, Springer Verlag, 256–272 Lecture Notes in Statistics, No. 26.
66. Stott, B., Alsaç, O., “Fast Decoupled Load Flow”. IEEE Transactions on Power Apparatus and Systems PAS-93:No. 3 (May/June 1974), 859–867.
67. F. 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.
68. H. J. Koglin, “Optimal Measuring System for State Estimation”, Proceedings of the PSCC Conference, Cambridge, U.K., Sept. 1975.
69. Aam, S., Holten, L., Gjerde, O., “Design of the Measurement System for State Estimation in the Norwegian High-Voltage Transmission Network”. IEEE Transactions on Power Apparatus and Systems PAS-102:No. 12 (Dec. 1983), 3769–3777.
70. Aarts, E., Korst, J., Simulated Annealing and Boltzmann Machines: a Stochastic Approach to Combinatorial Optimization and Neural Computing, 1989, John Wiley.
71. Rousseeuw, P.J., Van Zomeren, B.C., “Unmasking Multivariate Outliers and Leverage Points”. Journal of the American Statistical Association, Dec. 1989 to appear in.