Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling and Identification of Worst-Case Cascading Failures in Power
  Systems   Cascading failures in power systems normally occur as a result of initial
disturbance or faults on electrical elements, closely followed by errors of
human operators. It remains a great challenge to systematically trace the
source of cascading failures in power systems. In this paper, we develop a
mathematical model to describe the cascading dynamics of transmission lines in
power networks. In particular, the direct current (DC) power flow equation is
employed to calculate the transmission power on the branches. By regarding the
disturbances on the elements as the control inputs, we formulate the problem of
determining the initial disturbances causing the cascading blackout of power
grids in the framework of optimal control theory, and the magnitude of
disturbances or faults on the selected branch can be obtained by solving the
system of algebraic equations. Moreover, an iterative search algorithm is
proposed to look for the optimal solution leading to the worst case of
cascading failures. Theoretical analysis guarantees the asymptotic convergence
of the iterative search algorithm. Finally, numerical simulations are carried
out in IEEE 9 Bus System and IEEE 14 Bus System to validate the proposed
approach.

12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph