Authors

Naiyuan Liu, Zhenglong Sun, Zhifeng He

Abstract

In multiple parallel grid-following converters (GFL-VSCs), the nonlinear characteristics of the phase-locked loop (PLL) and other PLLs coupling interactions significantly affect the transient synchronization stability (TSS) of the GFL-VSCs. To fill this gap, this paper investigates the impact of coupling interactions based on the stability region boundary (SRB) theory. The study reveals that the coupling interactions limit the maximum phase angle of the PLL. Based on this, the stable manifold of GFL-VSCs is plotted using the differential-algebraic equation (DAE) SRB theory. It is shown that SRB of GFL-VSCs is composed of stable manifolds of unstable equilibrium point (UEP) or stable manifolds of semi-singular point (SSP) and partial singular surfaces. The composition of the SRB is closely tied to the influence of coupling interactions between PLLs. Furthermore, we propose a quantitative index based on the port-Hamiltonian (PH) energy function to assess the impact of coupling interactions on TSS. This method is implemented by comparing the critical energy values at the saddle points. This approach does not require internal measurements or model parameters, making it convenient for online applications. Finally, experiments and simulations were conducted to compare with existing methods, validating the effectiveness of the proposed approach.

Citation

  • Journal: 2025 IEEE Power & Energy Society General Meeting (PESGM)
  • Year: 2025
  • Volume:
  • Issue:
  • Pages: 1–5
  • Publisher: IEEE
  • DOI: 10.1109/pesgm52009.2025.11225651

BibTeX

@inproceedings{Liu_2025,
  title={{Stability Region Boundary of Multi-Paralleled Grid-Following Converter Systems Considering PLL Coupling Interactions}},
  DOI={10.1109/pesgm52009.2025.11225651},
  booktitle={{2025 IEEE Power \& Energy Society General Meeting (PESGM)}},
  publisher={IEEE},
  author={Liu, Naiyuan and Sun, Zhenglong and He, Zhifeng},
  year={2025},
  pages={1--5}
}

Download the bib file

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