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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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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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creator	Jayasekara, B. Annakkage, U.D.
description	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
doi_str_mv	10.1109/TPWRS.2006.881111
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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
title	Derivation of an Accurate Polynomial Representation of the Transient Stability Boundary
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