Network-Cognizant Model Reduction of Grid-Tied Three-Phase Inverters

Brian Johnson, Victor Purba, Sairaj Dhople, Saber Jafarpour, Francesco Bullo

Research output: Contribution to conferencePaper

12 Scopus Citations


Power-electronics inverters are expected to satisfy a significant fraction of system load in next-generation power networks with the growing integration of renewable resources and flexible loads. Typical dynamical models for grid-tied inverters are nonlinear and composed of a large number of states; therefore it is impractical to study systems with many inverters when their full dynamics are retained. In our previous work, we have shown that a system of parallel-connected grid-tied three-phase inverters can be modeled as one aggregated inverter unit with the same structure and state-space dimension as any individual inverter in the system. Here, we extend this result to networks with arbitrary topologies by leveraging a classical aggregation method for coherent synchronous generators in transmission networks, and a linear approximation of the AC power-flow equations to ease computational burden. Numerical simulation results for a prototypical distribution feeder demonstrate the accuracy and computational benefits of the approach.
Original languageAmerican English
Number of pages8
StatePublished - 2018
Event2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton) - Monticello, Illinois
Duration: 3 Oct 20176 Oct 2017


Conference2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
CityMonticello, Illinois

NREL Publication Number

  • NREL/CP-5D00-70310


  • aggregates
  • electronic mail
  • inverters
  • load modeling
  • mathematical model
  • phase locked loops
  • reduced order systems


Dive into the research topics of 'Network-Cognizant Model Reduction of Grid-Tied Three-Phase Inverters'. Together they form a unique fingerprint.

Cite this