Journal ArticleDOI
Power System State Estimation
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TLDR
In this paper, a computer program that calculates the steadystate voltages, phase angles, and shaft phases from measured power flows has been written, and the weighted difference between measured power flow and computed power flows was a scalar error that was minimized using a modified Newton's method and a second-order method.Abstract:
A computer program that calculates the steady-state voltages, phase angles, and shaft phases from measured power flows has been written. The weighted difference between measured power flows and computed power flows was a scalar error that was minimized using a modified Newton's method and a second-order method. The admittance matrix was revised following a system change, and the changes in shaft phases were calculated for control purposes. In the event that the power flows were not balanced or the system was unstable, optimum spinning reserve allocation and load shedding was calculated. New algorithms for fast ac load flows were developed.read more
Citations
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Journal ArticleDOI
Static state estimation in electric power systems
F.C. Schweppe,E.J. Handschin +1 more
TL;DR: A static state estimator is a collection of digital computer programs which convert telemetered data into a reliable estimate of the transmission network structure and state by accounting for small random metering-communication errors and the need for real-time solutions using limited computer time and storage.
Journal ArticleDOI
Some history of the conjugate gradient and lanczos methods
G. H. Golub,D. P. O'Leary +1 more
TL;DR: This paper gives some of the history of the conjugate gradient and Lanczos algorithms and an annotated bibliography for the period 1948-1976.
Journal ArticleDOI
State Calculation of Power Systems From Line Flow Measurements
TL;DR: In this article, the use of line flow measurements is proposed and it is shown that this measurement scheme shows superiority in speed, accuracy and numerical behavior together with advantages in error detection and identification.
Journal ArticleDOI
Power System State Estimation Using PMUs With Imperfect Synchronization
TL;DR: In this paper, the authors proposed alternating minimization and parallel Kalman filtering for power system state estimation using PMUs with phase mismatch under different assumptions, and demonstrated the improved accuracy of their algorithms compared with traditional algorithms when imperfect synchronization is present.
Journal ArticleDOI
A Tracking Static State Estimator
Fred C. Schweppe,R. D. Masiello +1 more
TL;DR: A tracking static state estimator is a digital feedback loop (a computer algorithm) which uses real time measurements of voltage magnitudes, watt flows, and var flows to track the static state (voltage at all buses) as it varies during the daily load cycle as discussed by the authors.
References
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Journal ArticleDOI
Methods of Conjugate Gradients for Solving Linear Systems
TL;DR: An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns and it is shown that this method is a special case of a very general method which also includes Gaussian elimination.
Journal ArticleDOI
A Rapidly Convergent Descent Method for Minimization
Roger Fletcher,M. J. D. Powell +1 more
TL;DR: A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.
Journal ArticleDOI
Concepts of Synchronous Machine Stability as Affected by Excitation Control
TL;DR: In this article, the stability of synchronous machines under small perturbations is explored by examining the case of a single machine connected to an infinite bus through external reactance, and the results are shown to be similar to ours.
Journal ArticleDOI
Optimal Power Flow Solutions
TL;DR: A practical method is given for solving the power flow problem with control variables such as real and reactive power and transformer ratios automatically adjusted to minimize instantaneous costs or losses by Newton's method, a gradient adjustment algorithm for obtaining the minimum and penalty functions to account for dependent constraints.
Journal ArticleDOI
Power System Static-State Estimation, Part I: Exact Model
Fred C. Schweppe,J. Wildes +1 more
TL;DR: Discussions center on the general nature of the problem, mathematical modeling, an interative technique for calculating the state estimate, and concepts underlying the detection and identification of modeling errors.