Derivation of an Accurate Polynomial Representation of the Transient Stability Boundary

This paper presents an efficient method to estimate a transient stability boundary (TSB) as a nonlinear function of power system variables. The proposed method exploits the computational efficiency of linear estimation methods to determine an accurate nonlinear function. The novelty of the proposed...

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Bibliographic Details
Published in:IEEE transactions on power systems 2006-11, Vol.21 (4), p.1856-1863
Main Authors: Jayasekara, B., Annakkage, U.D.
Format: Article
Language:English
Subjects:
Application software
Approximation
Boundaries
Computational efficiency
Kernel ridge regression
Linear approximation
Load flow
Mathematical analysis
Mathematical models
Nonlinearity
optimal power flow
Polynomials
Power generation
Power system dynamics
Power system faults
Power system security
Power system stability
Power system transients
Transient stability
transient stability boundary (TSB)
Voltage
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Summary:This paper presents an efficient method to estimate a transient stability boundary (TSB) as a nonlinear function of power system variables. The proposed method exploits the computational efficiency of linear estimation methods to determine an accurate nonlinear function. The novelty of the proposed method is that a nonlinear transformation is applied to the original variables, voltage magnitudes, and phase angles, so that the TSB is approximately linear in terms of the transformed variables. The linear function obtained using the transformed variables is indeed nonlinear in terms of original variables. The attractiveness of this method is that the estimated function is not a linearized approximation, although a linear estimation method is used. The potential of the proposed method is demonstrated using the New England 39-bus system and a larger power system with 470 buses
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2006.881111