Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A steady-state stability analysis of uniform synchronous power grid
  topologies   Motter et al. derived a real-valued master stability function which
determines whether and to what degree a given power grid is asymptotically
stable. Stright and Edrington adopted certain uniformity assumptions on a
grid's components and demonstrated how differences in topologies obtained using
these components can affect the stabilities of the resulting grids. Building on
this work, we show via simulations the physical significance of stability as
opposed to instability. We show that for stable topologies, increased stability
can correspond to decreased generator torque ripple. We also describe how some
elementary changes in grid topology can affect stability values. Known
stability values for certain abstract circulant grids are used to quantify
stability enhancement as interconnection density increases.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga