Synchronous state in a fully connected phase-locked loop network

J. R. C. Piqueira, M. Q. Oliveira and L. H. A. Monteiro

Mathematical Problems in Engineering, 2006, vol. 2006, 1-12

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 this work, 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:052356

DOI: 10.1155/MPE/2006/52356

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