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Comparisons of purely topological model, betweenness based model and direct current power flow model to analyze power grid vulnerability
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10.1063/1.4807478
/content/aip/journal/chaos/23/2/10.1063/1.4807478
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4807478
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Correlation coefficient of topology-based vulnerability results from any two models under single node failures as a function of tolerance parameter ; (b) Fraction of identical results of topology-based vulnerability results from any two models under single node failures as a function of tolerance parameter

Image of FIG. 2.
FIG. 2.

(a) Correlation coefficient of flow-based vulnerability results from any two models under single node failures as a function of tolerance parameter ; (b) Fraction of identical results of flow-based vulnerability results from any two models under single node failures as a function of tolerance parameter

Image of FIG. 3.
FIG. 3.

(a) Correlation coefficient for topology-based and flow-based vulnerability results from each model under single node failures as a function of tolerance parameter ; (b) Fraction of identical results for topology-based and flow-based vulnerability results from each model under single node failures as a function of tolerance parameter .

Image of FIG. 4.
FIG. 4.

(a) Correlation coefficient (0.2,) of topology-based vulnerability results from any two models under multiple node failures with  = 0.2 as a function of ; (b) Fraction of identical results (0.2,) of topology-based vulnerability results from any two models under multiple node failures with  = 0.2 as a function of

Image of FIG. 5.
FIG. 5.

(a) The critical tolerance parameter as a function of failure probability for any two models. (b) The integration of the differences of and curves for the PTM and DCPFM and the BBM and DCPFM over the tolerance parameter under different failure probabilities.

Image of FIG. 6.
FIG. 6.

(a) Correlation coefficient (,) of flow-based vulnerability results from any two models under multiple node failures as a function of ; the inset is the integration of the differences of and curves for the PTM and DCPFM and the BBM and DCPFM over the tolerance parameter under different failure probabilities; (b) Fraction of identical results (,) of flow-based vulnerability results from any two models under multiple node failures as a function of .

Image of FIG. 7.
FIG. 7.

(a) Correlation coefficient (,) for topology-based and flow-based vulnerability results from each model under multiple node failures; (b) Fraction of identical results (,) for topology-based and flow-based vulnerability results from each model under multiple node failures.

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/content/aip/journal/chaos/23/2/10.1063/1.4807478
2013-05-23
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Comparisons of purely topological model, betweenness based model and direct current power flow model to analyze power grid vulnerability
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4807478
10.1063/1.4807478
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