Emergence of Scale-Free Blackout Sizes in Power Grids
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TLDR
A new mathematical framework combining the physics of power flow with rare event analysis for heavy-tailed distributions is presented, and is validated using various synthetic networks and the German transmission grid.Abstract:
We model power grids as graphs with heavy-tailed sinks, which represent demand from cities, and study cascading failures on such graphs. Our analysis links the scale-free nature of blackout sizes to the scale-free nature of city sizes, contrasting previous studies suggesting that this nature is governed by self-organized criticality. Our results are based on a new mathematical framework combining the physics of power flow with rare event analysis for heavy-tailed distributions, and are validated using various synthetic networks and the German transmission grid.read more
Citations
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Epidemic Spreading in Scale-Free Networks
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