Analysis of a power grid using a Kuramoto-like model
@article{Filatrella2008AnalysisOA, title={Analysis of a power grid using a Kuramoto-like model}, author={G. Filatrella and A. Nielsen and N. Pedersen}, journal={The European Physical Journal B}, year={2008}, volume={61}, pages={485-491} }
Abstract.We show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers. The purpose of this work is to show both the formal analogy and some practical consequences. The mapping can be made quantitative, and under some necessary approximations a class of Kuramoto-like models, those with bimodal distribution of the frequencies, is most appropriate for the power-grid. In fact in… CONTINUE READING
311 Citations
Stability of a Distributed Generation Network Using the Kuramoto Models
- Computer Science
- CRITIS
- 2008
- 18
- PDF
Control of synchronization in two-layer power grids.
- Computer Science, Medicine
- Physical review. E
- 2020
- 1
- PDF
On synchronization in power-grids modelled as networks of second-order Kuramoto oscillators.
- Mathematics, Medicine
- Chaos
- 2016
- 27
Natural synchronization in power-grids with anti-correlated units
- Mathematics, Computer Science
- Commun. Nonlinear Sci. Numer. Simul.
- 2013
- 36
References
SHOWING 1-10 OF 42 REFERENCES
Disturbances in a power transmission system
- Mathematics, Medicine
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000
- 199
- PDF
Generalized coupling in the Kuramoto model.
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2007
- 40
- PDF
Time delay in the Kuramoto model with bimodal frequency distribution.
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2006
- 46
- PDF
Thermodynamic limit of the first-order phase transition in the Kuramoto model.
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2005
- 99
- PDF
Synchronization in populations of globally coupled oscillators with inertial effects
- Physics, Medicine
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000
- 60
- PDF
A First Order Phase Transition Resulting from Finite Inertia in Coupled Oscillator Systems
- Physics
- 1996
- 110
- PDF
Synchronization transitions in a disordered Josephson series array.
- Physics, Medicine
- Physical review letters
- 1996
- 388
- PDF