Topology Estimation Using Graphical Models in Multi-Phase Power Distribution Grids

Deepjyoti Deka, Michael Chertkov, Scott Backhaus

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


Power distribution grids are structurally operated radially, such that energized lines form a collection of trees with a substation at the root of each tree. The operational topology may change from time to time; however, tracking these changes, even though important for the distribution grid operation and control, is hindered by limited real-time monitoring. This paper develops a learning framework to reconstruct the radial operational structure of the distribution grid from synchronized voltage measurements. To detect operational lines, our learning algorithm uses conditional independence tests for continuous random variables that is applicable to a wide class of probability distributions, and in particular Gaussian, for injections. We validate the algorithm through extensive experiments on ac three-phase IEEE distribution grid test cases.

Original languageEnglish
Article number8632741
Pages (from-to)1663-1673
Number of pages11
JournalIEEE Transactions on Power Systems
Issue number3
Publication statusPublished - May 2020
Externally publishedYes


  • computational complexity
  • conditional independence
  • Distribution networks
  • graphical models
  • unbalanced three-phase


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