Couplings in Phase Domain Impedance Modelling of Grid-Connected Converters

Mohammadkazem Bakhshizadeh Dowlatabadi, Xiongfei Wang, Frede Blaabjerg, J. Hjerrild, Lukasz Kocewiak, Claus Leth Bak, Bo Hesselbæk

Research output: Contribution to journalLetterResearchpeer-review

149 Citations (Scopus)


The output impedance of a power converter plays an important role in the stability assessment of the converter. The impedance can be expressed in different frames such as the stationary frame (phase domain) or in the synchronous frame (dq domain). To treat the three-phase system like a single-phase system, the system can be divided into positive and negative sequences in the phase domain. This paper demonstrates that there exist couplings between the positive and negative sequences, even in a balanced system due to the PLL, which is important for synchronization. Further it will be shown that even though these couplings are very small in magnitude, they are important in the stability of the converter.
Original languageEnglish
JournalI E E E Transactions on Power Electronics
Issue number10
Pages (from-to)6792 - 6796
Number of pages5
Publication statusPublished - Oct 2016


  • Grid-connected inverters
  • Harmonic stability
  • Impedance modeling

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