Comparison of different methods for state estimation

Holten, Lars; Gjelsvik, Anders; Aam, Sverre; Wu, F.F.; Liu, W.-H.E.

doi:10.1109/59.192998

Cited by 176 publications

(67 citation statements)

References 18 publications

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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%

Tracking network state from combined SCADA and synchronized phasor measurements

Glavić

Cutsem

2013

2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid

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Initiated by the authors' previous work on state reconstruction from a limited number of synchrophasors [1], this paper goes one step further by exploring the possibility to track the network state using both SCADA and synchronized phasor measurements. When a SCADA measurement is received, it is used in the next state reconstruction; otherwise, it is replaced by a pseudo-measurement stemming from the previous state reconstruction. The approach resorts to a standard weighted least squares formulation and Hachtel's augmented matrix method. State reconstruction is intended to be used at a much higher rate than classical state estimation, for instance every second. It has been validated using simulated measurements obtained from detailed time simulation.

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Section: Solution Algorithmmentioning

confidence: 99%

Tracking network state from combined SCADA and synchronized phasor measurements

Glavić

Cutsem

2013

2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid

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“…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%

A New Method for Optimal Harmonic Meter Placement

Ketabi¹,

Hosseini²

2008

American J. of Applied Sciences

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Abstract:In this research, a new method based on Singular Value Decomposition (SVD) is proposed to solve the problem of optimal placement of meters for static estimation of harmonic sources in a power system. Also, the Binary Genetic Algorithm (BGA) is used to solve the problem of optimization. IEEE 14-bus test system is provided to validate the measurement placement algorithm. It has been observed that the quality of estimation is improved and the Number of Observable Variable (NOV) is increased. Moreover, the BGA-based meter placement strategy yields the same solution as obtained from the complete enumeration technique but in shorter time.

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“…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%

Weighted Least Absolute Value state estimation using interior point methods

Singh

Alvarado

1994

IEEE Trans. Power Syst.

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This paper addresses the application of interior point methods to the Weighted Least Absolute Value state estimation problem. Interior point methods are applied to the primal and dual formulations of the problem. The dual formulation involves solving least squares problems identical in structure to those used in conventional Weighted Least Squares state estimation. The dual formulation also provides an initial feasible interior point without any extra effort. Computational issues that are critical to the success of interior point methods are addressed and test results on standard systems are provided.

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Comparison of different methods for state estimation

Cited by 176 publications

References 18 publications

Tracking network state from combined SCADA and synchronized phasor measurements

Tracking network state from combined SCADA and synchronized phasor measurements

A New Method for Optimal Harmonic Meter Placement

Weighted Least Absolute Value state estimation using interior point methods

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