### Abstract

Large-scale power systems can be decomposed into areas each consisting of tightly coupled machines connected to other areas through weak connections. This kind of decomposition preserves the network structure and offers possibilities in developing reduced-order models and simplified direct stability analysis. Time-scale separation is inherent in this decomposition. The authors investigate the use of slow and fast energy functions for the stability analysis of two-time-scale systems. They show rigorously the existence of a slow manifold and use this manifold for calculating slow energy in the system to any desired degree of accuracy. When the mode of instability is between areas (i. e. , slow) it is shown that the slow energy accurately predicts the critical clearing time.

Original language | English (US) |
---|---|

Pages (from-to) | 1388-1393 |

Number of pages | 6 |

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

State | Published - Dec 1 1986 |

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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*, 1388-1393.

**DECOUPLED STABILITY ANALYSIS OF LARGE SCALE POWER SYSTEMS USING INTEGRAL MANIFOLD APPROACH.** / Pai, M. A.; Sauer, P. W.; Othman, H.; Chow, J. H.; Winkelman, J. R.

Research output: Contribution to journal › Conference article

*Proceedings of the IEEE Conference on Decision and Control*, pp. 1388-1393.

}

TY - JOUR

T1 - DECOUPLED STABILITY ANALYSIS OF LARGE SCALE POWER SYSTEMS USING INTEGRAL MANIFOLD APPROACH.

AU - Pai, M. A.

AU - Sauer, P. W.

AU - Othman, H.

AU - Chow, J. H.

AU - Winkelman, J. R.

PY - 1986/12/1

Y1 - 1986/12/1

N2 - Large-scale power systems can be decomposed into areas each consisting of tightly coupled machines connected to other areas through weak connections. This kind of decomposition preserves the network structure and offers possibilities in developing reduced-order models and simplified direct stability analysis. Time-scale separation is inherent in this decomposition. The authors investigate the use of slow and fast energy functions for the stability analysis of two-time-scale systems. They show rigorously the existence of a slow manifold and use this manifold for calculating slow energy in the system to any desired degree of accuracy. When the mode of instability is between areas (i. e. , slow) it is shown that the slow energy accurately predicts the critical clearing time.

AB - Large-scale power systems can be decomposed into areas each consisting of tightly coupled machines connected to other areas through weak connections. This kind of decomposition preserves the network structure and offers possibilities in developing reduced-order models and simplified direct stability analysis. Time-scale separation is inherent in this decomposition. The authors investigate the use of slow and fast energy functions for the stability analysis of two-time-scale systems. They show rigorously the existence of a slow manifold and use this manifold for calculating slow energy in the system to any desired degree of accuracy. When the mode of instability is between areas (i. e. , slow) it is shown that the slow energy accurately predicts the critical clearing time.

UR - http://www.scopus.com/inward/record.url?scp=0022984137&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022984137&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0022984137

SP - 1388

EP - 1393

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -