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[References: p. 225-226 (20 tit.)]

The urgency of the research is determined by the need of studying non-sinusoidal modes of electric distribution networks for obtaining more information on the efficiency of electric power transmission. To study correlations and statistical distributions of high harmonics of the node voltages and currents of 110 kV electric distribution networks; to determine smoothing functions for calculating the networks Stochastic mode. For modeling non-sinusoidal modes the software package Fortran is used. The data for calculation were obtained by means of the analyzer of power quality and quantity AR-5 “Circutor”. Oscillograms of voltages and currents having 128 points were expanded in a Fourier series. The analyzed correlations are between the fundamental harmonics and high harmonics of voltage and current. Smoothing of statistical distributions and obtaining of their analytical relationships are carried out by presenting the distribution law in the expanded form based on the Gauss distribution. The statistical properties of distributions of the node voltages and currents harmonics are found out. The statistical distributions of the modules of the node voltages high harmonics are studied. The dependence of uni- and mutltimodal statistical distributions and quality of smoothing is determined.