Identification of Critical Clusters in Inverter-based Microgrids

@article{Gorbunov2020IdentificationOC,
  title={Identification of Critical Clusters in Inverter-based Microgrids},
  author={Andrey Gorbunov and Petr Vorobev and Jimmy Chih-Hsien Peng},
  journal={ArXiv},
  year={2020},
  volume={abs/2004.00812}
}
In this paper, we investigate the stability properties of inverter-based microgrids by establishing the possible presence of the so-called critical clusters - groups of inverters with their control settings being close to the stability boundary. For this, we consider the spectrum of the weighted admittance matrix of the network and show that its distinct eigenvalues correspond to inverter clusters, whose structure can be revealed by the corresponding eigenvector. We show that the maximum… 
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