SISO Transfer Functions for Stability Analysis of Grid-Connected Voltage-Source Converters

Hongyang Zhang, Xiongfei Wang*, Lennart Harnefors, Hong Gong, Jean Philippe Hasler, Hans Peter Nee

*Corresponding author

Research output: Contribution to journalJournal articleResearchpeer-review

11 Citations (Scopus)


Converter-grid interaction is of great interest in a weak-grid condition. This paper presents a single-input-single-output (SISO) open-loop transfer function for the stability analysis of grid-connected voltage-source converters. Differing from the conventional input impedance method and the eigenvalue analysis, an alternative multi-input-multi-output closed-loop system is developed in the paper and it eventually yields an SISO open-loop transfer function. This enables the application of a single Nyquist curve for analyzing the overall system stability. The model is validated against time-domain simulations as well as experimental results showing excellent accuracy for predicting the system stability.
Original languageEnglish
Article number8640057
JournalIEEE Transactions on Industry Applications
Issue number3
Pages (from-to)2931-2941
Number of pages11
Publication statusPublished - May 2019


  • Multi-input-multi-output (MIMO)
  • Nyquist stability criterion
  • Single-input-single-output (SISO)
  • Voltage-source converter (VSC)
  • Weak grid

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