Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frequency regulation with thermostatically controlled loads: aggregation
  of dynamics and synchronization   Thermostatically controlled loads (TCLs) can provide ancillary services to
the power network by aiding existing frequency control mechanisms. TCLs are,
however, characterized by an intrinsic limit cycle behavior which raises the
risk that these could synchronize when coupled with the frequency dynamics of
the power grid, i.e. simultaneously switch, inducing persistent and possibly
catastrophic power oscillations. To address this problem, schemes with a
randomized response time in their control policy have been proposed in the
literature. However, such schemes introduce delays in the response of TCLs to
frequency feedback that may limit their ability to provide fast support at
urgencies. In this paper, we present a deterministic control mechanism for TCLs
such that those switch when prescribed frequency thresholds are exceeded in
order to provide ancillary services to the power network. For the considered
scheme, we provide analytic conditions which ensure that synchronization is
avoided. In particular, we show that as the number of loads tends to infinity,
there exist arbitrarily long time intervals where the frequency deviations are
arbitrarily small. Our analytical results are verified with simulations on the
Northeast Power Coordinating Council (NPCC) 140-bus system, which demonstrate
that the proposed scheme offers improved frequency response compared to
conventional implementations.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess