Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Qualitative Stability and Synchronicity Analysis of Power Network Models
  in Port-Hamiltonian Form   In view of highly decentralized and diversified power generation concepts, in
particular with renewable energies such as wind and solar power, the analysis
and control of the stability and the synchronization of power networks is an
important topic that requires different levels of modeling detail for different
tasks. A frequently used qualitative approach relies on simplified nonlinear
network models like the Kuramoto model. Although based on basic physical
principles, the usual formulation in form of a system of coupled ordinary
differential equations is not always adequate. We present a new energy-based
formulation of the Kuramoto model as port-Hamiltonian system of
differential-algebraic equations. This leads to a very robust representation of
the system with respect to disturbances, it encodes the underlying physics,
such as the dissipation inequality or the deviation from synchronicity,
directly in the structure of the equations, it explicitly displays all possible
constraints and allows for robust simulation methods. Due to its systematic
energy based formulation the model class allows easy extension, when further
effects have to be considered, higher fidelity is needed for qualitative
analysis, or the system needs to be coupled in a robust way to other networks.
We demonstrate the advantages of the modified modeling approach with analytic
results and numerical experiments.

33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio