Determination of sectionalising strategies for parallel power system restoration: A spectral clustering-based methodology

Jairo Quirós-Tortós, Peter Wall, Lei Ding, Vladimir Terzija

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


Parallel power system restoration (PPSR) accelerates the restoration of a system in complete blackout by restoring isolated sections (islands) of the network in parallel. These islands are defined during the preparation stage of PPSR using a sectionalising strategy that considers system information collected after the blackout and must satisfy multiple PPSR constraints. This paper introduces a methodology based on spectral clustering that, in contrast to existing approaches, uses the physical and inherent properties of the network to determine a suitable solution. An undirected edge-weighted graph is initially constructed based on the electrical distance between buses, and constraints related to transmission line availability and cranking groups are included by modifying the edge-weights of the graph and using a subspace projection. This graph is then used to define islands that have strong internal connections but weak external connections, whilst satisfying the following constraints: blackstart availability, load-generation balance, voltage stability and the ability to monitor synchronisation between adjacent islands. Simulation results for the Institute of Electrical and Electronic Engineers (IEEE) 39- and IEEE 118-bus test systems demonstrate the ability of the methodology to define a strategy that creates strongly connected islands. Additionally, they indicate that the new approach determines solutions that have larger ratios between the inter-cluster electrical distance and the intra-cluster electrical distance for larger systems.

Original languageEnglish
Pages (from-to)381-390
Number of pages10
JournalElectric Power Systems Research
Publication statusPublished - Nov 2014
Externally publishedYes


  • Constrained spectral clustering
  • Graph theory
  • Parallel power system restoration
  • Sectionalising of power systems


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