Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight-and-cheap conic relaxation for the AC optimal power flow problem   The classical alternating current optimal power flow problem is highly
nonconvex and generally hard to solve. Convex relaxations, in particular
semidefinite, second-order cone, convex quadratic, and linear relaxations, have
recently attracted significant interest. The semidefinite relaxation is the
strongest among them and is exact for many cases. However, the computational
efficiency for solving large-scale semidefinite optimization is lower than for
second-order cone optimization. We propose a conic relaxation obtained by
combining semidefinite optimization with the reformulation-linearization
technique, commonly known as RLT. The proposed relaxation is stronger than the
second-order cone relaxation and nearly as tight as the standard semidefinite
relaxation. Computational experiments using standard test cases with up to 6515
buses show that the time to solve the new conic relaxation is up to one order
of magnitude lower than for the chordal relaxation, a semidefinite relaxation
technique that exploits the sparsity of power networks.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th