### 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 language | English (US) |
---|---|

Pages (from-to) | 173-178 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

State | Published - Dec 1 1984 |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*, 173-178.

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

Research output: Contribution to journal › Conference article

*Proceedings of the IEEE Conference on Decision and Control*, pp. 173-178.

}

TY - JOUR

T1 - SINGULAR PERTURBATIONS AND LARGE SCALE POWER SYSTEM STABILITY.

AU - Pai, M. A.

AU - Sauer, Peter W

AU - Khorasani, K.

PY - 1984/12/1

Y1 - 1984/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021641669&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021641669&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0021641669

SP - 173

EP - 178

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -