Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dynamical Systems Approach to Modeling and Analysis of Transactive
  Energy Coordination   Under transactive (market-based) coordination, a population of distributed
energy resources (DERs), such as thermostatically controlled loads (TCLs) and
storage devices, bid into an energy market. Consequently, a certain level of
demand will be cleared based on the operating conditions of the grid. This
paper analyzes the influence of various factors, such as price signals, feeder
limits, and user-defined bid functions and preferences, on the aggregate energy
usage of DERs. We identify cases that can lead to load synchronization,
undesirable power oscillations and highly volatile prices. To address these
issues, the paper develops an aggregate model of DERs under transactive
coordination. A set of Markov transition equations have been developed over
discrete ranges (referred to as "bins") of price levels and their associated
DER operating states. A detailed investigation of the performance of this
aggregate model is presented. With reformulation of the transition equations,
the bin model has been incorporated into a model predictive control setting
using both mixed integer programming and quadratic programming. A case study
shows that a population of TCLs can be managed economically while avoiding
congestion in a distribution grid. Simulations also demonstrate that power
oscillations arising from synchronization of TCLs can be effectively avoided.

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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: eess