  This paper investigates the impact of Kron reduction on the performance of
numerical methods applied to the analysis of unbalanced polyphase power
systems. Specifically, this paper focuses on power-flow study, state
estimation, and voltage stability assessment. For these applications, the
standard Newton-Raphson method, linear weighted-least-squares regression, and
homotopy continuation method are used, respectively. The performance of the
said numerical methods is assessed in a series of simulations, in which the
zero-injection nodes of a test system are successively eliminated through Kron
reduction.
