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There is an increasing need for monitoring and controlling uncertaintiesbrought by distributed energy resources in distribution grids. For such goal,accurate multi-phase topology is the basis for correlating measurements inunbalanced distribution networks. Unfortunately, such topology knowledge isoften unavailable due to limited investment, especially for \revv{low-voltage}distribution grids. Also, the bus phase labeling information is inaccurate dueto human errors or outdated records. For this challenge, this paper utilizessmart meter data for an information-theoretic approach to learn the topology ofdistribution grids. Specifically, multi-phase unbalanced systems are convertedinto symmetrical components, namely positive, negative, and zero sequences.Then, this paper proves that the Chow-Liu algorithm finds the topology byutilizing power flow equations and the conditional independence relationshipsimplied by the radial multi-phase structure of distribution grids with thepresence of incorrect bus phase labels. At last, by utilizing Carson'sequation, this paper proves that the bus phase connection can be correctlyidentified using voltage measurements. For validation, IEEE systems aresimulated using three real data sets. The simulation results demonstrate thatthe algorithm is highly accurate for finding multi-phase topology even withstrong load unbalancing condition and DERs. This ensures close monitoring andcontrolling DERs in distribution grids.

Unbalanced Multi-Phase Distribution Grid Topology Estimation and Bus Phase Identification