A Mixed Integer Programming Model for Evaluating the Hidden Probabilities of N - Line Contingencies in Smart Grids

In contingency analysis of large-scale power systems, the high-order contingencies involving a relatively large number of component failures are traditionally assumed to have a very low occurrence probability. However, this may underestimate the probability of some <inline-formula> <tex-mat...

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Veröffentlicht in:IEEE transactions on smart grid Jg. 10; H. 1; S. 1036 - 1045
Hauptverfasser: Che, Liang, Liu, Xuan, Wen, Yunfeng, Li, Zuyi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: IEEE 01.01.2019
Schlagworte:
Contingency analysis
Generators
hidden probability
Load flow
N-k contingencies
Planning
power system operation
Power system reliability
Probability
Reliability
ISSN:1949-3053, 1949-3061
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Zusammenfassung:In contingency analysis of large-scale power systems, the high-order contingencies involving a relatively large number of component failures are traditionally assumed to have a very low occurrence probability. However, this may underestimate the probability of some <inline-formula> <tex-math notation="LaTeX">{N} </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{k} </tex-math></inline-formula> contingencies and thus pose risk to the reliable system operations considering that those contingencies would cause severe consequences. In this paper, we investigate the problem of hidden <inline-formula> <tex-math notation="LaTeX">{N} </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{k} </tex-math></inline-formula> contingencies and cast the problem of evaluating the hidden probability of an <inline-formula> <tex-math notation="LaTeX">{N} </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">{k} </tex-math></inline-formula> contingency as a mixed integer linear programming problem. The simulation results on the IEEE 14-bus and 118-bus systems verify the effectiveness of the proposed model.
ISSN:1949-3053
1949-3061
DOI:10.1109/TSG.2017.2758389