Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Voltage Collapse Stabilization: A Game Theory Viewpoint   Voltage collapse is a type of blackout-inducing dynamic instability that
occurs when the power demand exceeds the maximum power that can be transferred
through the network. The traditional (preventive) approach to avoid voltage
collapse is based on ensuring that the network never reaches its maximum
capacity. However, such an approach leads to inefficiencies as it prevents
operators to fully utilize the network resources and does not account for
unprescribed events. To overcome this limitation, this paper seeks to initiate
the study of voltage collapse stabilization.
  More precisely, for a DC network, we formulate the problem of voltage
stability as a dynamic problem where each load seeks to achieve a constant
power consumption by updating its conductance as the voltage changes. We show
that such a system can be interpreted as a dynamic game, where each player
(load) seeks to myopically maximize their utility, and where every stable power
flow solution amounts to a Local Nash Equilibrium.
  Using this framework, we show that voltage collapse is equivalent to the
non-existence of a Local Nash Equilibrium in the game and, as a result, it is
caused by the lack of cooperation between loads. Finally, we propose a Voltage
Collapse Stabilizer (VCS) controller that uses (flexible) loads that are
willing to cooperate and provides a fair allocation of the curtailed demand.
Our solution stabilizes voltage collapse even in the presence of
non-cooperative loads. Numerical simulations validate several features of our
controllers.

26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph