Power system state estimation using a direct non-iterative method

Jiang, Xinyu Tony; Chow, Joe H.; Fardanesh, B.; Maragal, Deepak; Stefopoulos, George; Razanousky, Michael

doi:10.1016/j.ijepes.2015.05.025

Cited by 23 publications

(17 citation statements)

References 11 publications

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“…This situation deteriorates the diagonal elements of the gain matrix, which are supposed to be dominant for a positive definite matrix. The effect of the R/X ratio on fast decoupled load flow studies of distribution grids has been reported previously due to the direct relation of the former with the coupling of (P-θ) and (Q -|U |) [2,26]. However, the Jacobian of the state estimator is built using measurement sets different from those used for load flow studies.…”

Section: High Ratio Of R/x In Distribution Systemsmentioning

confidence: 99%

“…Figure 4 shows the SE variance of the 18-bus system before and after the regularization. Significant improvements can be noticed in the estimated states (18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30)(31)(32)(33)(34)(35) in addition to some minor improvements in the first 17 states. However, the total SE variance has dropped from 0.0092 to 0.0060.…”

Section: Reducing the Redundant Measurementsmentioning

confidence: 99%

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A new algorithm for improving the numerical stability of power system state estimation

Abood

Sreeram

Mishra

2018

IEEJ Transactions Elec Engng

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State estimation (SE) is based on an iterative process for solving weighted least squares (WLS) via the so‐called normal equations (NE). This process is prone to numerical instability and may lead to an ill‐conditioned state estimator in many cases. Although several methods have been proposed in the past to deal with the ill‐conditioning problem in high‐voltage transmission systems, the SE stability of low‐voltage distribution systems remains a challenge due to fewer measurements and high R/X ratios. This paper highlights the main reasons for the ill‐conditioning problem and focuses on the impact of the R/X ratio of the distribution systems. NE‐based SE uses a comparatively simple algorithm with much lower storage size. Hence, this paper proposes a regularized version of the WLS state estimator to solve the problem of ill‐conditioning using an adjustable regularization parameter. Simulation results on U.K. 18‐bus and radial 33‐bus distribution systems show improved performance in terms of reducing the computational complexity, measurements redundancy, the impact of high R/X ratios and improving the accuracy and numerical stability of the SE solution. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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Section: High Ratio Of R/x In Distribution Systemsmentioning

confidence: 99%

Section: Reducing the Redundant Measurementsmentioning

confidence: 99%

A new algorithm for improving the numerical stability of power system state estimation

Abood

Sreeram

Mishra

2018

IEEJ Transactions Elec Engng

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“…Abbasi and Seifi [25] suggested a master-slave-splitting technique to estimate the state variables of global power system. State estimator algorithm using a direct non-iterative method was given in [26]. A probabilistic approach to power system state estimation was demonstrated in [27].…”

Section: Introductionmentioning

confidence: 99%

An Efficienet Algorithm for Static State Estimation in Electric Power System

Hasan¹,

Al-Anbarri²

2019

JEASD

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This paper presents an efficient static state estimator that is suitable for real time monitoring of the power system. The proposed algorithm includes a weighted least square (WLS) method based on rectangular coordinates system. A predictor-corrector iterative technique is used in solving the state estimator model which is described by a set of nonlinear equations relating measured quantities and the state variables. The proposed algorithm is enhanced by selecting the allocation the PMUs meters optimally by using Particle Swarm Optimization (PSO). The proposed algorithm is applied to the IEEE-14 bus and IEEE-30 bus test systems. The obtained results reveal the significant contribution of the proposed algorithm in optimal estimate of the static state in terms of number of iterations for convergence, execution time and accuracy.

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“…For examples, a three‐stage SE method based on the sequential solution of two WLS linear problems with a nonlinear explicit transformation has been presented . In Ref an interesting method which can directly obtain the solution of WLS‐SE without iteration has been proposed. Another WLS‐SE method which requires no iteration has also been presented .…”

Section: Introductionmentioning

confidence: 99%

Robust state estimation of power systems based on equivalent measurement technique

Uatrongjit

2017

IEEJ Transactions Elec Engng

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The paper investigates the application of the equivalent measurement technique to the robust state estimation (SE) of power systems. In contrast to the weighted least square-based SE method, the objective functions of the robust SE tend to suppress the influence of bad data contained in the measurement set during the estimation process. So there is no need to perform bad data elimination. In the proposed approach, the collected measured data, such as the power flowing through the transmission line, the injection power, and bus voltage magnitude, are converted into equivalent measurements as either current or voltage phasor quantities. Also the state variables are expressed in rectangular coordinates. This enables the relationship between the state variables and the measurements to be described by the linear measurement function and its Jacobian matrix is computed only once during the iterative solution computation. Some testing results of the standard IEEE test systems indicate that the proposed approach uses less computation time and still provides similar accuracy compared to the conventional SE.

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Power system state estimation using a direct non-iterative method

Cited by 23 publications

References 11 publications

A new algorithm for improving the numerical stability of power system state estimation

A new algorithm for improving the numerical stability of power system state estimation

An Efficienet Algorithm for Static State Estimation in Electric Power System

Robust state estimation of power systems based on equivalent measurement technique

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