  Transmission line failure in power systems prop-agate non-locally, making the
control of the resulting outages extremely difficult. In Part II of this paper,
we continue the study of line failure localizability in transmission networks
and characterize the impact of cut set outages. We establish a Simple Path
Criterion, showing that the propagation pattern due to bridge outages, a
special case of cut set failures, are fully determined by the positions in the
network of the buses that participate in load balancing. We then extend our
results to general cut set outages. In contrast to non-cut outages discussed in
Part I whose subsequent line failures are contained within the original blocks,
cut set outages typically impact the whole network, affecting the power flows
on all remaining lines. We corroborate our analytical results in both parts
using the IEEE 118-bus test system, in which the failure propagation patterns
exhibit a clear block-diagonal structure predicted by our theory, even when
using full AC power flow equations.
