Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Decomposition Solution Approach for the Restoration Problem in
  Distribution Networks   The distribution network restoration problem is by nature a mixed integer and
non-linear optimization problem due to the switching decisions and Optimal
Power Flow (OPF) constraints, respectively. The link between these two parts
involves logical implications modelled through big-M coefficients. The presence
of these coefficients makes the relaxation of the mixed-integer problem using
branch-and-bound method very poor in terms of computation burden. Moreover,
this link inhibits the use of classical Benders algorithm in decomposing the
problem because the resulting cuts will still depend on the big-M coefficients.
In this paper, a novel decomposition approach is proposed for the restoration
problem named Modified Combinatorial Benders (MCB). In this regard, the
reconfiguration problem and the OPF problem are decomposed into master and sub
problems, which are solved through successive iterations. In the case of a
large outage area, the numerical results show that the MCB provides, within a
short time (after a few iterations), a restoration solution with a quality that
is close to the proven optimality when it can be exhibited.

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas