Stationary-Frame Complex-Valued Frequency-Domain Modeling of Three-Phase Power Converters

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)
9 Downloads (Pure)


The stationary-frame complex-valued frequency-domain modeling has been applied to characterize the frequency-coupling dynamics of three-phase converters. Yet, those models are generally derived through mathematical transformations of the linearized time-invariant models in the rotating dq -frame. A step-by-step modeling method with clear physical insight in the stationary frame is still missing. This article attempts to fill in the void by introducing a general stationary ( αβ )-frame, three-port equivalent circuit model for the converter power stage, based on the direct linearization around time-periodic trajectories. The model not only reveals the frequency-coupling effect of the ac–dc dynamic interaction but also provides an explicit theoretical basis for incorporating the control dynamics. Moreover, the dependence of the frequency-coupling terms on the initial phase of the input voltage is pointed out. Considering the phase-dependent feature, a frequency scan method that can accurately measure the αβ -frame converter model is proposed. The measured frequency responses in both the nonlinear time-domain simulations and experimental tests validate the effectiveness of the frequency scan method and the theoretical analysis.
Original languageEnglish
Article number8938712
JournalIEEE Journal of Emerging and Selected Topics in Power Electronics
Issue number2
Pages (from-to)1922-1933
Number of pages12
Publication statusPublished - Jun 2020


  • Complex vector
  • frequency coupling
  • impedance measurement
  • phase dependence
  • stationary(αβ)-frame model
  • voltage-source converter (VSC).

Fingerprint Dive into the research topics of 'Stationary-Frame Complex-Valued Frequency-Domain Modeling of Three-Phase Power Converters'. Together they form a unique fingerprint.

Cite this