### 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 |

State | Published - Dec 1 1987 |

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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*, 41-44.

**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.

Research output: Contribution to journal › Conference article

*Proceedings of the IEEE Conference on Decision and Control*, pp. 41-44.

}

TY - JOUR

T1 - APPLICATION OF INTEGRAL MANIFOLD THEORY IN LARGE SCALE POWER SYSTEM STABILITY ANALYSIS.

AU - Pai, M. A.

AU - Othman, H.

AU - Sauer, Peter W

AU - Chow, J. H.

AU - Winkelman, J. R.

PY - 1987/12/1

Y1 - 1987/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0023563079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023563079&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0023563079

SP - 41

EP - 44

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -