Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Demand Variation Impact on Tightness of Convex Relaxation Approaches for
  the ACOPF Problem   This paper investigates the impact of the changes in the demand of power
systems on the quality of the solution procured by the convex relaxation
methods for the AC optimal power flow (ACOPF) problem. This investigation needs
various measures to evaluate the tightness of the solution procured by the
convex relaxation approaches. Therefore, three tightness measures are leveraged
to illustrate the performance of convex relaxation methods under different
demand scenarios. The main issue of convex relaxation methods is recovering an
optimal solution which is not necessarily feasible for the original non-convex
problem in networks with cycles. Thus, a cycle measure is introduced to
evaluate the performance of relaxation schemes. The presented case study
investigates the merit of using various tightness measures to evaluate the
performance of various relaxation methods under different circumstances.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an