APPLICATION OF INTEGRAL MANIFOLD THEORY IN LARGE SCALE POWER SYSTEM STABILITY ANALYSIS.

M. A. Pai; H. Othman; P. W. Sauer; J. H. Chow; J. R. Winkelman

doi:10.1109/cdc.1987.272688

APPLICATION OF INTEGRAL MANIFOLD THEORY IN LARGE SCALE POWER SYSTEM STABILITY ANALYSIS.

M. A. Pai, H. Othman, P. W. Sauer, J. H. Chow, J. R. Winkelman

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

Near-identity coordinate transformations are used to decouple the stability problem for a class of nonlinear two-time-scale systems into a stability problem for slow variables and a stability problem for fast variables only. This facilitates the computation of the region of attraction in the slow subspace of much-lower dimension. A technique to decouple the slow dynamics of the system from its fast components is described. This is the nonlinear counterpart of the decoupling transformation for linear systems existing in the literature. The results are applied to a three-machine power system having strong and weak connections to compute the critical clearing times.

Original language	English (US)
Pages (from-to)	41-44
Number of pages	4
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1987.272688
State	Published - 1987

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.1987.272688

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abstract = "Near-identity coordinate transformations are used to decouple the stability problem for a class of nonlinear two-time-scale systems into a stability problem for slow variables and a stability problem for fast variables only. This facilitates the computation of the region of attraction in the slow subspace of much-lower dimension. A technique to decouple the slow dynamics of the system from its fast components is described. This is the nonlinear counterpart of the decoupling transformation for linear systems existing in the literature. The results are applied to a three-machine power system having strong and weak connections to compute the critical clearing times.",

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language = "English (US)",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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AU - Pai, M. A.

AU - Othman, H.

AU - Sauer, P. W.

AU - Chow, J. H.

AU - Winkelman, J. R.

PY - 1987

Y1 - 1987

N2 - Near-identity coordinate transformations are used to decouple the stability problem for a class of nonlinear two-time-scale systems into a stability problem for slow variables and a stability problem for fast variables only. This facilitates the computation of the region of attraction in the slow subspace of much-lower dimension. A technique to decouple the slow dynamics of the system from its fast components is described. This is the nonlinear counterpart of the decoupling transformation for linear systems existing in the literature. The results are applied to a three-machine power system having strong and weak connections to compute the critical clearing times.

AB - Near-identity coordinate transformations are used to decouple the stability problem for a class of nonlinear two-time-scale systems into a stability problem for slow variables and a stability problem for fast variables only. This facilitates the computation of the region of attraction in the slow subspace of much-lower dimension. A technique to decouple the slow dynamics of the system from its fast components is described. This is the nonlinear counterpart of the decoupling transformation for linear systems existing in the literature. The results are applied to a three-machine power system having strong and weak connections to compute the critical clearing times.

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JF - Proceedings of the IEEE Conference on Decision and Control

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APPLICATION OF INTEGRAL MANIFOLD THEORY IN LARGE SCALE POWER SYSTEM STABILITY ANALYSIS.

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