Graph Spectra Based Controlled Islanding for Low Inertia Power Systems

L. Ding, Z. Ma, P. Wall, V. Terzija

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


The inertia of modern power systems is decreasing and becoming more variable as more inverter-connected renewable energy sources and loads are integrated. This leads to a low and time-varied inertia power system that is more sensitive to disturbances and may not be robust enough to survive large disturbances. How to protect such a low and time-varied inertia system from blackouts is in question. This paper tries to answer this question using a graph spectra-based controlled islanding method. Eigenvector sensitivity, with respect to inertia, is used to identify the impact of reduced inertia on the spectral properties of power system graphs and, thus, coherent generator grouping. Constrained spectral clustering is then used to find the islanding boundary with minimal power-flow disruption to island low inertia systems. Simulation results, obtained using the IEEE 9-bus and 118-bus test systems, validate the effectiveness of the proposed algorithm in the case of low inertia systems.

Original languageEnglish
Article number7494934
Pages (from-to)302-309
Number of pages8
JournalIEEE Transactions on Power Delivery
Issue number1
Publication statusPublished - Feb 2017
Externally publishedYes


  • Controlled islanding
  • Eigenvector sensitivity
  • Graph spectra
  • Low inertia
  • Spectral clustering


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