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

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

Research output: Contribution to journalConference article

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 languageEnglish (US)
Pages (from-to)41-44
Number of pages4
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1987

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Power System Stability
Integral Manifolds
Large-scale Systems
Systems Analysis
System stability
Stability Analysis
Coordinate Transformation
Decoupling
Power System
Linear systems
Time Scales
Linear Systems
Subspace

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

APPLICATION OF INTEGRAL MANIFOLD THEORY IN LARGE SCALE POWER SYSTEM STABILITY ANALYSIS. / Pai, M. A.; Othman, H.; Sauer, Peter W; Chow, J. H.; Winkelman, J. R.

In: Proceedings of the IEEE Conference on Decision and Control, 01.12.1987, p. 41-44.

Research output: Contribution to journalConference article

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