Time-domain Generalization of Kron Reduction
Systems and Control
2022-03-24 v1 Systems and Control
Abstract
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.
Cite
@article{arxiv.2203.12084,
title = {Time-domain Generalization of Kron Reduction},
author = {Manish K. Singh and Sairaj Dhople and Florian Dorfler and Georgios B. Giannakis},
journal= {arXiv preprint arXiv:2203.12084},
year = {2022}
}