The Effect of Transmission-Line Dynamics on a Globally Synchronizing Controller for Power Inverters

Marcello Colombino, Jean-Sebastien Brouillon, Dominic Gross, Florian Dorfler

Research output: Contribution to conferencePaper

6 Scopus Citations


In this work, we analyze a dispatchable virtual oscillator control (dVOC) strategy for grid-forming power inverters that ensures almost global synchronization of inverterbased AC power systems when the dynamics of the transmission network are neglected, i.e., if an algebraic model of the transmission lines is used. While this approximation is often justified for conventional power systems, the dynamics of the transmission lines can compromise the stability of an inverterbased power system. Therefore, in this article, we use tools from singular perturbation theory to construct a Lyapunov function candidate and explicit bounds on the controller gains that guarantee global convergence to the set of steady-states for the full power-system with transmission line dynamics. Moreover, we show that the only undesirable steady-state is unstable.
Original languageAmerican English
Number of pages6
StatePublished - 2018
Event2018 European Control Conference (ECC) - Limassol, Cyprus
Duration: 12 Jun 201815 Jun 2018


Conference2018 European Control Conference (ECC)
CityLimassol, Cyprus

NREL Publication Number

  • NREL/CP-5D00-73225


  • inverters
  • power system dynamics
  • power system stability
  • power transmission lines
  • stability analysis
  • steady-state
  • transmission line matrix methods


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