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Journal Article

Delay master stability of inertial oscillator networks

Authors

Börner,  Reyk
External Organizations;

/persons/resource/Paul.Schultz

Schultz,  Paul
Potsdam Institute for Climate Impact Research;

Ünzelmann,  Benjamin
External Organizations;

Wang,  Deli
External Organizations;

/persons/resource/frank.hellmann

Hellmann,  Frank
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

External Ressource
No external resources are shared
Fulltext (public)

arXiv:1911.09730.pdf
(Preprint), 1008KB

24214oa.pdf
(Publisher version), 853KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Börner, R., Schultz, P., Ünzelmann, B., Wang, D., Hellmann, F., Kurths, J. (2020): Delay master stability of inertial oscillator networks. - Physical Review Research, 2, 023409.
https://doi.org/10.1103/PhysRevResearch.2.023409


Cite as: https://publications.pik-potsdam.de/pubman/item/item_24214
Abstract
Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds. Here we derive an analytical approach to determine the asymptotic stability of synchronous states in networks of coupled inertial oscillators with constant delay. Building on the master stability formalism, our technique provides necessary and sufficient delay master stability conditions. We apply it to two classes of potential future power grids, where processing delays in control dynamics will likely pose a challenge as renewable energies proliferate. Distinguishing between phase and frequency delay, our method offers an insight into how bifurcation points depend on the network topology of these system designs.