Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

Brian Johnson, Mohit Sinha, Florian Dorfler, Sairaj Dhople

Research output: Contribution to conferencePaper

9 Scopus Citations


Motivated by potential applications for power-electronic converters in microgrids, we study the problem of global asymptotic synchronization of Lienard-type nonlinear oscillators in heterogenous LTI electrical networks with series R-L circuits modeling interconnections. By heterogeneous, we mean that the resistance-to-inductance ratios of the lines are not all the same. Building on our previous work, we derive sufficient conditions for global asymptotic synchronization by using a first-order filter on the outputs of the oscillators. Our approach leverages a coordinate transformation to a system that emphasizes signal differences and the use of passivity based arguments to establish synchronization of the network of oscillators asymptotically. The analysis subsumes and generalizes previous conditions that have been derived for Lienard oscillators in homogeneous electrical networks. Numerical simulations are provided to validate the results.
Original languageAmerican English
Number of pages6
StatePublished - 2018
Event2018 Indian Control Conference (ICC) - Kanpur, India
Duration: 4 Jan 20186 Jan 2018


Conference2018 Indian Control Conference (ICC)
CityKanpur, India

NREL Publication Number

  • NREL/CP-5D00-72236


  • electric network analysis
  • electric network parameters
  • power converters
  • synchronization


Dive into the research topics of 'Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks'. Together they form a unique fingerprint.

Cite this