Impedance-Based Prediction of Distortions Generated by Resonance in Grid-Connected Converters

Shahil Shah, Leila Parsa

Research output: Contribution to journalArticlepeer-review

27 Scopus Citations


Small-signal impedance-based analysis can effectively predict the frequency and damping of resonance modes in power electronic systems. However, it cannot predict the magnitude of resonance or explain resonance-generated distortions in the absence of an external disturbance at the resonance frequency. This paper presents an impedance-based theory for the prediction of the magnitude of resonance or resonance-generated distortions in grid-connected converters. It is discovered that the impedance response of a converter starts changing with the magnitude of resonance at its terminals. The changing converter impedance response may stabilize an unstable growing resonance mode beyond a certain magnitude, at which point the converter enters a limit cycle mode of sustained oscillations. The proposed theory uses large-signal impedance for the prediction of resonance-generated distortions; the large-signal impedance of an electrical equipment represents its impedance response for different magnitudes of perturbation injected at its terminals. Large-signal impedance-based prediction of resonance-generated distortions is demonstrated for a three-phase grid-connected voltage-source converter.

Original languageAmerican English
Pages (from-to)1264-1275
Number of pages12
JournalIEEE Transactions on Energy Conversion
Issue number3
StatePublished - 1 Sep 2019

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

NREL Publication Number

  • NREL/JA-5D00-74896


  • control interactions
  • grid-connected converters
  • Impedance-based analysis
  • oscillations
  • resonance


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