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In this paper, a novel approach to statistical modeling of power-line channels is illustrated and its application to low-voltage indoor power networks is analyzed in the bandwidth 1-30 MHz. The proposed approach is based on the well-known bifilar model and on a generalization of the so-called N-branch network topology. It is shown that our model can be exploited to devise an efficient channel simulator predicting the mean impedance matrix and transfer function between an arbitrary couple of plugs in a class of indoor networks sharing multiple parameters (e.g., number of branches, minimum and maximum cable lengths, power-loading conditions). Finally, it is shown that Monte Carlo results generated by our simulator are in good agreement with a set of experimental data acquired in a measurement campaign.