1999
DOI: 10.1109/59.801941
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Iteratively reweighted least-squares state estimation through Givens Rotations

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Cited by 70 publications
(37 citation statements)
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“…In addition, the detection result of the measurement at 12th time point for the measurement number 10 based on robust statistics [24,25] is shown in Figure 12, This method uses a x 2 distribution ðx 2 n;0:025 Þ 1=2 with n degrees of freedom (i.e.,n ¼ n À 1, where n is the number of the bus) as a cutoff value to flag the bad data. As can be seen from Figure 12, the magnitude of the robust distance at the measurement number 10 is about 29.4077 and is greater than the cutoff value 3.582.…”
Section: Case 1: No Bad Datamentioning
confidence: 99%
“…In addition, the detection result of the measurement at 12th time point for the measurement number 10 based on robust statistics [24,25] is shown in Figure 12, This method uses a x 2 distribution ðx 2 n;0:025 Þ 1=2 with n degrees of freedom (i.e.,n ¼ n À 1, where n is the number of the bus) as a cutoff value to flag the bad data. As can be seen from Figure 12, the magnitude of the robust distance at the measurement number 10 is about 29.4077 and is greater than the cutoff value 3.582.…”
Section: Case 1: No Bad Datamentioning
confidence: 99%
“…There are non-quadratic estimators, which were developed in [18], [8] as estimators incorporating a technique of automatic bad data suppression during an estimation process. The statistical robustness of similar non-quadratic estimators is well known in statisticians [9], [7] and now they experience a rebirth as M-estimators [2], [19], [21], [11]. Although in many cases the listed above methods perform well, they still present some drawbacks stipulated by measurements local redundancy.…”
Section: Introductionmentioning
confidence: 98%
“…Furthermore, as the number of buses in a system increases, the ill-conditioning of the state estimation problem becomes worse. Solution methods, such as orthogonal decomposition utilizing Givens rotations [1], [2], [9], [13], have been introduced to overcome this ill-conditioning without loss of sparsity.…”
Section: Introductionmentioning
confidence: 99%