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Reverse Kron reduction of Multi-phase Radial Network

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arxiv 2403.17391 v1 pith:BYH4ZWNP submitted 2024-03-26 eess.SY cs.SY

classification eess.SYcs.SY
keywords kronreductionadmittancematrixnetworkcomplementfullmeasurements
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We consider the problem of identifying the admittance matrix of a three-phase radial network from voltage and current measurements at a subset of nodes. These measurements are used to estimate a virtual network represented by the Kron reduction (Schur complement) of the full admittance matrix. We focus on recovering exactly the full admittance matrix from its Kron reduction, i.e., computing the inverse of Schur complement. The key idea is to decompose Kron reduction into a sequence of iterations that maintains an invariance structure, and exploit this structure to reverse each step of the iterative Kron reduction.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Distribution System State and Impedance Estimation Augmented with Carson's Equations

    eess.SY 2025-06 conditional novelty 6.0 of 10

    A state and impedance estimator that parameterizes four-wire distribution line impedances through Carson's equations yields usable impedance models from smart meter data on synthetic LV feeders.

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