Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AC Transmission Network Expansion Planning: A Semidefinite Programming
  Branch-and-Cut Approach   Transmission network expansion planning is a mixed-integer optimization
problem, whose solution is used to guide future investment in transmission
equipment. An approach is presented to find the global solution of the
transmission planning problem using an AC network model. The approach builds on
the semidefinite relaxation of the AC optimal power flow problem (ACOPF); its
computational engine is a new specialized branch-and-cut algorithm for
transmission expansion planning to deal with the underlying mixed-integer ACOPF
problem. Valid inequalities that are based on specific knowledge of the
expansion problem are employed to improve the solution quality at any node of
the search tree, and thus significantly reduce the overall computational effort
of the branch-and-bound algorithm. Additionally, sparsity of the semidefinite
relaxation is exploited to further reduce the computation time at each node of
the branch-and-cut tree. Despite the vast number of publications on
transmission expansion planning, the proposed approach is the first to provide
expansion plans that are globally optimal using a solution approach for the
mixed-integer ACOPF problem. The results on standard networks serve as
important benchmarks to assess the solution quality from existing techniques
and simplified models.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th