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This work presents an underground coal mine channel model for the broadband characterization of low-voltage power lines. The model is characterized by taking into account both measured and geometrical channel characteristics and can easily be used to take into account also the presence of noise. The channel is described by a conventional multipath characteristics model and a two-port equivalent described by a scattering matrix determined from a wavelet-based expansion of the input and output quantities. The typical metal carrier model is given. This paper indicates using conventional multipath characteristics model to calculate difficulty because the underground coal mine low-voltage power line has strong branching and proposes to use scattering parameters matrix of wavelet-based. Upper and lower bounds for the response of the channel in presence of time-varying loads are determined in a fast and efficient way avoiding time consuming Monte Carlo simulations. The bounds determination allows the estimate of noteworthy quantities for the tuning of currently used modulation schemes for power lines communications such as orthogonal frequency-division multiplexing.