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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.
Jean-Philippe Thiran, Erick Jorge Canales Rodriguez, Marco Pizzolato, Muhamed Barakovic, Tim Bjørn Dyrby
Mario Paolone, Willem Lambrichts
Alexandre Caboussat, Dimitrios Gourzoulidis