Time-domain Generalization of Kron Reduction [article]

Manish K. Singh, Sairaj Dhople, Florian Dorfler, Georgios B. Giannakis
2022 arXiv   pre-print
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. This paper considers RL networks without such restriction and puts forth a provably exact time-domain generalization of Kron reduction. Exemplifying empirical tests on a wye-delta network are provided to validate the analytical results.
arXiv:2203.12084v1 fatcat:nk5roxivdjajvfp2ejpxytq53i