Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robustness against Disturbances in Power Systems under Frequency
  Constraints   The wide deployment of renewable generation and the gradual decrease in the
overall system inertia make modern power grids more vulnerable to transient
instabilities and unacceptable frequency fluctuations. Time-domain
simulation-based assessment of the system robustness against uncertain and
stochastic disturbances is extremely time-consuming. In this paper, we develop
an alternative approach, which has its roots in the input-output stability
analysis for Lur'e systems. Our approach consists of a mathematically rigorous
characterization of the external disturbances that the power system is
transiently stable and the frequency constraints are not violated. The derived
certificate is efficiently constructed via convex optimization and is shown to
be non-conservative for different IEEE test cases.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
18
The categories of this paper are: econ