Time-Domain Generalization of Kron Reduction

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, state-of-the-art application of has been transmission lines have constant $R/L$ ratios. contrast, this letter considers generalized setting notation="LaTeX">$RL$ without such restriction and puts forth provably exact time-domain version reduction. Exemplifying empirical tests on ⅄ – notation="LaTeX">$\Delta $ network are provided to validate analytical results.