Criticality in a cascading failure blackout model

TLDR: In this article, the authors verify and examine criticality in a 1000 bus network with an AC blackout model that represents many of the interactions that occur in cascading failure and evaluate the overall probability and risk of blackouts from a global perspective.

About: This article is published in International Journal of Electrical Power & Energy Systems.The article was published on 2006-11-01 and is currently open access. It has received 293 citations till now. The article focuses on the topics: Blackout & Cascading failure.

Figures

Figure 3: Probability distribution of expected energy not served at the critical loading of 1.94 times the base case loading. Note the log-log scale; a straight line on this plot indicates a power law relation. The straight line slope of approximately –1.2 indicates that the blackout probability is proportional to (EENS)-1.2 .

Figure 2: Expected energy not served as a function of the loading factor with respect to the base case. There is a sharp increase in blackout size at the critical loading of 1.94 times the base case loading.

Table 1: Approximate power law exponents at criticality for several cascading failure models.

Figure 8: Probability of more than 500 components failed as a function of loading L in CASCADE model. There is a sharp increase at the critical loading L=0.8.

Figure 7: Mean number of failed components as a function of average initial loading L in CASCADE model. There is a sharp increase at the critical loading L=0.8. There i s saturation with all 1000 components failed at loading L=0.96.

Figure 9: Probability distribution of number of failed components near criticality in CASCADE model.