Reverse Kron reduction of Multi-phase Radial Network
arxiv(2024)
摘要
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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