Synchronous state in a fully connected phase-locked loop network
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Artigo
Date
2006
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Mathematical Problems in Engineering
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11
Authors
Piqueira J.R.C.
Oliveira M.Q.
Monteiro L.H.A.
Oliveira M.Q.
Monteiro L.H.A.
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Volume Title
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Abstract
Fully connected phase-locked networks are built with all nodes exchanging phase and frequency signals. The nodes are phase-locked loops (PLLs) with slightly different free-running frequencies. The synchronous state emerges from a dynamic process with the phase interactions generating a common frequency steady state. In thiswork, an estimation is analytically obtained for the synchronous state in a generic N-node network. Numerical experiments complete the analysis of the fully connected network relating free-running frequencies, node gains, and propagation delays.
Description
Keywords
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Frequency signals , Steady state , Synchronous state