Analysis of a power grid using a Kuramoto-like model
By G. Filatrella, A. Nielsen, N. Pedersen. 2007
542 citations recorded by the source corpus.
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 the power-grid there are two kinds of oscillators: the “sources" delivering power to the “consumers".
Subfields: Biomedical Engineering, Cognitive Neuroscience, Computer Networks and Communications
View Paper: https://www.semanticscholar.org/paper/021f707df5c868c631ca4ac39e5e3149441ed4ed
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Florian Dörfler
- Francesco Bullo
- Tiago Pereira
- Aneta Stefanovska
- Peter V. E. McClintock
- Tomislav Stankovski
In Cognitive Neuroscience
- Tiago Pereira
- Aneta Stefanovska
- Peter V. E. McClintock
- Francesco Bullo
- Tomislav Stankovski
- Florian Dörfler
In Computer Networks and Communications
- Florian Dörfler
- Francesco Bullo
- Tiago Pereira
- Aneta Stefanovska
- Peter V. E. McClintock
- Tomislav Stankovski
- Jorge Cortés
- Jürgen Kurths
Citations in the corpus
- Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators (2009, methodology): “Even though power networks have often been referred to as coupled-oscillators systems, the similarity to a second-order Kuramoto-type model has been mentioned only recently in the power systems community in simulation studies for simplified models [25], [26], [27].”
- Coupling functions:universal insights into dynamical interaction mechanisms (2017, background): “…et al., 2010; Cabral et al., 2014; Cumin and Unsworth, 2007), Josephsonjunction arrays (Filatrella et al., 2000; Wiesenfeld et al., 1996, 1998), power grids (Dorfler and Bullo, 2012; Filatrella et al., 2008), glassy states (Iatsenko et al., 2014) and laser arrays (Vladimirov et al., 2003).”
- Synchronization in complex networks of phase oscillators: A survey (2014, methodology): “Thus, it is not surprising that scientists from different disciplines recently advocated coupled oscillator approaches to analyze synchronization in power networks (Tanaka et al., 1997; Subbarao et al., 2001; Hill and Chen, 2006; Filatrella et al., 2008; Buzna et al., 2009; Fioriti et al., 2009; Sim”
- Synchronization in complex networks (2008, unknown): “Along this line, in [253] it has”