Synchronization assessment in power networks and coupled oscillators

Florian Dorfler, Michael Chertkov, Francesco Bullo

Research output: Contribution to journalConference articlepeer-review

12 Scopus citations


Synchronization problems in complex networks have recently attracted tremendous scientific interested. Moreover, assessing the existence, stability, and robustness of synchronous states is a pervasive topic in the operation of power networks. Scientists in both communities have long aimed to identify sharp synchronization conditions as functions of the network topology and parameters. This paper proposes an insightful approach to this problem based on algebraic graph theory. We present a novel synchronization condition applicable to a general coupled oscillator model. We rigorously establish that our condition is exact for various interesting network topologies and parameters. Via statistical studies we show that our condition predicts accurately the existence of stable synchronous solutions for generic networks as well as various power network test cases. From these statistical studies, we conclude that our proposed condition is correct for almost all network topologies and parameters. Indeed, we also show that there exist possibly-thin sets of network topologies and parameters, where our condition is not sufficiently tight.

Original languageEnglish (US)
Article number6426586
Pages (from-to)4998-5003
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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