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Synchronization of oscillators not sharing a common ground
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Date
2023-5-01
Author
Tuna, Sezai Emre
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Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler interconnection has to be bilayer if the oscillator voltages are to asymptotically synchronize. Also, for bilayer architecture (when both resistive and inductive couplers are present) a method is proposed to compute a complex-valued effective Laplacian matrix that represents the overall coupling. It is proved that the oscillators display synchronous behavior if and only if the effective Laplacian has a single eigenvalue on the imaginary axis.
Subject Keywords
Bilayer coupling
,
Effective Laplacian matrix
,
Harmonic oscillator
,
Nonstar network
,
Synchronization
URI
https://hdl.handle.net/11511/102752
Journal
Automatica
DOI
https://doi.org/10.1016/j.automatica.2023.110960
Collections
Department of Electrical and Electronics Engineering, Article
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S. E. Tuna, “Synchronization of oscillators not sharing a common ground,”
Automatica
, vol. 151, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102752.