Synchronization of nonlinear oscillators in an lti electrical power network

Brian B. Johnson, Sairaj V. Dhople, Abdullah O. Hamadeh, Philip T Krein

Research output: Contribution to journalArticlepeer-review

Abstract

Sufficient conditions are derived for the global asymptotic synchronization of a class of identical nonlinear oscillators coupled through a linear time-invariant network. In particular, we focus on systems where oscillators are connected to a common node through identical branch impedances. For such networks, it is shown that the synchronization condition is independent of the number of oscillators and the value of the load impedance connected to the common node. Theoretical findings are then leveraged to control a system of parallel single-phase voltage source inverters serving an impedance load in an islanded microgrid application. The ensuing paradigm: i) does not necessitate communication between inverters, ii) is independent of system load, and iii) facilitates a modular design approach because the synchronization condition is independent of the number of oscillators. We present both simulation and experimental case studies to validate the analytical results and demonstrate the proposed application.

Original languageEnglish (US)
Article number6701226
Pages (from-to)834-844
Number of pages11
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume61
Issue number3
DOIs
StatePublished - Mar 2014

Keywords

  • Inverter control
  • Microgrids
  • Nonlinear oscillators
  • Synchronization

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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