Time-Domain Generalization of Kron Reduction

Manish K. Singh, Sairaj Dhople, Florian Dorfler, Georgios B. Giannakis

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Kron reduction is a network-reduction method that eliminates nodes with zero current injections from electrical networks operating in sinusoidal steady state. In the time domain, the state-of-the-art application of Kron reduction has been in networks with transmission lines that have constant R/L ratios. In contrast, this letter considers the generalized setting of RL networks without such restriction and puts forth a provably exact time-domain version of Kron reduction. Exemplifying empirical tests on a - Δ network are provided to validate the analytical results.

Original languageEnglish (US)
Pages (from-to)259-264
Number of pages6
JournalIEEE Control Systems Letters
StatePublished - 2023

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  • Kron reduction
  • network-reduced model
  • time-domain reduction


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