1988
DOI: 10.1109/59.192998
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Comparison of different methods for state estimation

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Cited by 175 publications
(67 citation statements)
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“…Thus, a variety of methods can be used such as normal equations, normal equations with equality constraints, or Hachtel's augmented matrix [16], [17], [18]. The latter method has shown very good performances in the application of concern here.…”
Section: Solution Algorithmmentioning
confidence: 99%
“…Thus, a variety of methods can be used such as normal equations, normal equations with equality constraints, or Hachtel's augmented matrix [16], [17], [18]. The latter method has shown very good performances in the application of concern here.…”
Section: Solution Algorithmmentioning
confidence: 99%
“…Furthermore, even in completely or ever-determined system, the normal equations may be very singular or ill-conditioned. Although several methods have been suggested to solve such ill-conditioned problem, e.g., [12,13] , observability analysis is still needed prior to estimation.…”
Section: Harmonic State Estimationmentioning
confidence: 99%
“…We restrict our attention to solution by direct methods and compare normal equations with the augmented formulation. The augmented formulation is usually numerically more stable [17]. It involves a larger but usually sparser system of equations.…”
Section: Imdementation Issuesmentioning
confidence: 99%
“…Much research in these methods has concentrated on finding better methods for solving large least squares problems, either by the ordinary normal equations method, the augmented matrix method, or the orthogonal factorization method. A comparison of some of these approaches can be found in [17]. Specialized blocking methods were applied to the augmented formulation in [3, 251 and enhancements to orthogonal factorization using Givens rotations were introduced in [31].…”
Section: Introductionmentioning
confidence: 99%