scholarly journals Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
David Métivier ◽  
Lucas Wetzel ◽  
Shamik Gupta
Keyword(s):  
Second Order ◽  
Phase Locked Loops ◽  
Exact Results ◽  
Delayed Coupling ◽  
Kuramoto Oscillators

A Critical Examination of Frequency-Fixed Second-Order Generalized Integrator-Based Phase-Locked Loops

2017 ◽  
Vol 32 (9) ◽  
pp. 6666-6672 ◽  
Author(s):  
Saeed Golestan ◽  
Seyyed Yousef Mousazadeh ◽  
Josep M. Guerrero ◽  
Juan C. Vasquez
Keyword(s):  
Second Order ◽  
Phase Locked Loops ◽  
Critical Examination

scholarly journals Fully Connected PLL Networks: How Filter Determines the Number of Nodes

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Átila Madureira Bueno ◽  
André Alves Ferreira ◽  
José Roberto C. Piqueira
Keyword(s):  
Integrated Circuits ◽  
Distribution Systems ◽  
Second Order ◽  
Phase Locked Loops ◽  
Clock Distribution ◽  
Synchronous State ◽  
First Order ◽  
Automation Systems ◽  
Low Pass ◽  
Fully Connected

Synchronization plays an important role in telecommunication systems, integrated circuits, and automation systems. Formerly, the masterslave synchronization strategy was used in the great majority of cases due to its reliability and simplicity. Recently, with the wireless networks development, and with the increase of the operation frequency of integrated circuits, the decentralized clock distribution strategies are gaining importance. Consequently, fully connected clock distribution systems with nodes composed of phase-locked loops (PLLs) appear as a convenient engineering solution. In this work, the stability of the synchronous state of these networks is studied in two relevant situations: when the node filters are first-order lag-lead low-pass or when the node filters are second-order low-pass. For first- order filters, the synchronous state of the network shows to be stable for any number of nodes. For second-order filter, there is a superior limit for the number of nodes, depending on the PLL parameters.

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