A Nonlinear Stability Analysis Method of Grid-Connected Inverter

Yanbo Wang*, Dong Liu, Zhan Shen, Qi Zhang, Fujin Deng, Zhe Chen

*Corresponding author for this work

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review


This letter presents a nonlinear stability analysis method to investigate the effects of nonlinear components on stability of grid-connected inverter, where the nonlinearity of inductor is addressed as an example to investigate the nonlinear
stability mechanism. The model of nonlinear inductor is first established by describing function method. Then, the transfer function with nonlinear plant and linear plant is established by loop transformation method. Moreover, the nonlinear stability criterion is developed by identifying the relationship of describing function of nonlinear plant and Nyquist diagram of linear plant. Simulation and experimental results validate the effectiveness of the proposed nonlinear stability analysis method, which can provide the guideline to optimize inverter parameters at design stage so as to avoid the potential instability issues caused by nonlinear components.
Original languageEnglish
Title of host publicationThe 6th IEEE Southern Power Electronics Conference (SPEC 2021)
Publication statusSubmitted - 2021


  • Nonlinear stability
  • grid-connected inverter
  • describing function
  • inductor
  • Nyquist


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