Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refining bridge-block decompositions through two-stage and recursive
  tree partitioning   In transmission networks power flows and network topology are deeply
intertwined due to power flow physics. Recent literature shows that specific
network substructures named bridge-blocks prevent line failures from
propagating globally. A two-stage and recursive tree partitioning approach have
been proposed to create more bridge-blocks in transmission networks, improving
their robustness against cascading line failures. In this paper we consider the
problem of refining the bridge-block decomposition of a given power network
with minimal impact on the maximum congestion. We propose two new solution
methods, depending on the preferred power flow model. More specifically, (i) we
introduce a novel MILP-based approach that uses the DC approximation to solve
more efficiently the second-stage optimization problem of the two-stage
approach and (ii) we show how the existing recursive approach can be extended
to work with AC power flows, drastically improving the running times when
compared to the pre-existing AC-based two-stage method.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc