An Iterative Method for Determining the Most Probable Bifurcation in Large Scale Power Systems
| Autor: | Armin Schnettler, Moritz Mittelstaedt, Sascha Bauer |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mahalanobis distance
Iterative method 020209 energy Energy Engineering and Power Technology Saddle-node bifurcation 02 engineering and technology Upper and lower bounds Ellipsoid Euclidean distance Control theory 0202 electrical engineering electronic engineering information engineering Applied mathematics Limit (mathematics) Electrical and Electronic Engineering Subspace topology Bifurcation Mathematics |
| Zdroj: | IEEE Transactions on Power Systems. 32:2966-2973 |
| ISSN: | 1558-0679 0885-8950 |
| Popis: | An iterative method is presented to determine the most probable voltage stability limit by identifying the closest saddle node bifurcation in a probability-loading space starting at the expected initial system state. The iterative method is applied to the probability space to identify the closest saddle node bifurcation by means of the Mahalanobis-Distance. Further the method provides an ellipsoidal load subspace corresponding to the most probable bifurcation. This ellipsoid is a lower bound for the probability of bifurcation. To verify the proposed methodology examples are given and the minimum Mahalanobis-Distance, for dependent and independent load patterns, is compared with the minimum Euclidian distance. |
| Databáze: | OpenAIRE |
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