Abstract
Synchronizing phase-frustrated Kuramoto oscillators, a challenge that has found applications from neuronal networks to the power grid, is an eluding problem, as even small phase lags cause the oscillators to avoid synchronization. Here we show, constructively, how to strategically select the optimal frequency set, capturing the natural frequencies of all oscillators, for a given network and phase lags, that will ensure perfect synchronization. We find that high levels of synchronization are sustained in the vicinity of the optimal set, allowing for some level of deviation in the frequencies without significant degradation of synchronization. Demonstrating our results on first- and second-order phase-frustrated Kuramoto dynamics, we implement them on both model and real power grid networks, showing how to achieve synchronization in a phase-frustrated environment.
Original language | English |
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Article number | 40002 |
Journal | EPL |
Volume | 120 |
Issue number | 4 |
DOIs | |
State | Published - Nov 2017 |
Bibliographical note
Publisher Copyright:© 2018 EPLA.
Funding
The authors would like to thank Syamal Dana for interesting comments and suggestions. PK acknowledges support from DST, India under the DST-INSPIRE scheme (Code: IF140880). CH is supported by the CHE/PBC, Israel. This work was supported by NSF-CRISP Award No. 1735505. (19) interesting comments and suggestions. PK acknowledges support from DST, India under the DST-INSPIRE scheme (Code: IF140880). CH is supported by the CHE/PBC, Israel. This work was supported by NSF-CRISP Award No. 1735505.
Funders | Funder number |
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CHE/PBC | |
DST-INSPIRE | IF140880 |
NSF-CRISP | 1735505 |
Norsk Sykepleierforbund | |
Council for Higher Education | |
Department of Science and Technology, Government of West Bengal | |
Department of Science and Technology, Government of Rajasthan |