Large-Signal Impedance Modeling of Three-Phase Voltage Source Converters: Preprint

Research output: Contribution to conferencePaper


Resonance problems have become a major hurdle in the large-scale grid integration of renewable energy. It is important to be able to predict the amplitude of resonance-induced distortions for the protection and control design of power electronic converters. We recently presented an impedance-based approach for the prediction of resonance amplitude. It was shown that the impedance response of a converter starts changing with the amplitude of resonance; this blocks the amplitude growth beyond a certain point where the converter forms a limit cycle mode of sustained oscillations. The large-signal impedance of a converter captures the change in its impedance response with the resonance amplitude, and it can be used to predict the resonance amplitude under different operation conditions. This paper presents large-signal sequence impedance modeling for three-phase voltage source converters (VSC) with dq-current control and PLL. Modeling challenges encountered in the absence of the small-signal approximation are addressed by a) leveraging the dominating influence of hard non-linearities such as pulse-width modulation saturation and limiters over soft non-linearities in shaping the converter large-signal behavior and b) modeling the large-signal gain of hard non-linearities using appropriate describing functions. Developed large-signal impedance models are validated using numerical simulations. Measurements of the large-signal impedance responses of a commercial 1-MW VSC-based inverter are also presented to experimentally demonstrate the effects of the injected perturbation amplitude on impedance response as predicted by the developed model.
Original languageAmerican English
Number of pages8
StatePublished - 2018
Event44th Annual Conference of the IEEE Industrial Electronics Society (IECON) - Washington, D.C.
Duration: 21 Oct 201823 Oct 2018


Conference44th Annual Conference of the IEEE Industrial Electronics Society (IECON)
CityWashington, D.C.

Bibliographical note

See NREL/CP-5D00-73465 for paper as published in IEEE proceedings

NREL Publication Number

  • NREL/CP-5D00-71550


  • grid-connected inverters
  • impedance modeling
  • resonance
  • stability


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