Incoprea Theory
Vol. XVI · 99

Theory 57/Networks & Connectivity/Power grids

Cascades Follow Topology

The claim

The size of a cascading failure is set by the ratio of load to spare capacity at the most loaded cut-set, not by the size of the initial fault.

01Mechanism

Failure propagates when redistributed load exceeds capacity; the cut-set with least margin determines the extent.

02Prediction

Cascade size should track the margin ratio.

03Refutation

Cascade size tracking initial fault would remove the topology.