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arXiv · 2203.12084

Time-domain Generalization of Kron Reduction

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

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Manish K. Singh, Sairaj Dhople, Florian Dorfler, Georgios B. Giannakis. 2022-03-22. Time-domain Generalization of Kron Reduction. https://arxiv.org/abs/2203.12084

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