SINGULAR PERTURBATIONS AND LARGE SCALE POWER SYSTEM STABILITY.

M. A. Pai, Peter W Sauer, K. Khorasani

Research output: Contribution to journalConference article

Abstract

Stability of large-scale power systems using direct methods has been investigated either through reduced order models (e. g. , one machine-infinite bus equivalent) or by decomposition. The latter method uses artificial mathematical methods for decomposition. In either method the physical picture gets lost and the analysis has to be repeated for every disturbance. A new approach is proposed which is based on singular perturbation and time scale decomposition. The system Lyapunov function gets split into a slow Lyapunov function and a number of fast Lyapunov functions each for a slowly coherent area. The weighted sum of these Lyapunov functions gets improved in quality as higher order corrections are taken into account. The decomposition is invariant with respect to the disturbance and thus offers a new approach to stability analysis of large scale power systems.

Original languageEnglish (US)
Pages (from-to)173-178
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1984

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Power System Stability
Singular Perturbation
Lyapunov functions
Large-scale Systems
System stability
Lyapunov Function
Decomposition
Decompose
Power System
Disturbance
Reduced Order Model
Weighted Sums
Direct Method
Stability Analysis
Time Scales
Higher Order
Invariant

ASJC Scopus subject areas

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

Cite this

SINGULAR PERTURBATIONS AND LARGE SCALE POWER SYSTEM STABILITY. / Pai, M. A.; Sauer, Peter W; Khorasani, K.

In: Proceedings of the IEEE Conference on Decision and Control, 01.12.1984, p. 173-178.

Research output: Contribution to journalConference article

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