Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-objective Distributed Optimization for Zonal Distribution System
  with Multi-Microgrids   The issue of voltage variations caused by integration of renewables has been
addressed in this paper through distributed management of Microgrids (MGs). The
distribution network (DN) takes the network losses and voltage quality as
objectives, an alternating direction method of multipliers (ADMM) with adaptive
penalty modulation has been proposed to realize distributed optimization with
improved convergence. On the basis of satisfying the optimization target on the
system level, the individual MG manages the controllable resources inside the
MG to minimize the operating cost on the lower level. The feasibility and
effectiveness of the proposed method has been demonstrated on a modified IEEE
33-bus system.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph