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This paper presents a statistical method to model the noise on 10-kV medium-voltage power networks. The cumulative distribution function of the Nakagami-m distribution is calculated and compared with the corresponding empirical cumulative probability distribution in time domain for both the total noise power and the noise power at certain frequencies. It shows that the Nakagami-m distribution offers an excellent fitting to the measured data. The noise spectrum is also analyzed and the exponential and Gaussian functions are used to fit the spectrum. All of the parameters of these fitting functions are random variables which follow the Nakagami-m distribution.