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The article is devoted to the improvement of regression models of the proper resistance of the elements of a grounding device when passing a sinusoidal current through it in order to increase their accuracy. This type of models allows for a fairly high accuracy in assessing changes in physical quantities. The accuracy of the description depends on the number of factors taken into account when constructing the model and the degree of the regression polynomial. The models presented in the article are based on an experiment to measure the proper resistance of the elements of a grounding device, in which a sinusoidal current with the following frequency was passed through cylindrical conductors of four diameters: 10 mm, 16 mm, 22 mm, 28 mm: 25 Hz, 50 Hz, 100 Hz, 200 Hz, 400 Hz, 800 Hz, 1000 Hz. The strength of the passed current varied from 6 to 40 A with a step of 2 A. Due to the large number of factors and the complex nature of the physical processes occurring inside the conductor, a multifactor regression analysis was used. The accuracy of the regression models presented in the article was increased by increasing the degree of the regression polynomial. After constructing the models, their adequacy was assessed and the coefficients of the obtained models were assessed for statistical significance. The adequacy of the models was assessed using the Fisher criterion. As a result of the assessment, it was established that the obtained models are adequate and accurately describe the experimental data. The practical significance of the research is that increasing the accuracy will allow obtaining more reliable information about the value of the intrinsic resistance of the elements of grounding devices, which in turn will simplify further automation of the design and modeling process of grounding devices.

Corrosion processes at various constructive changes of grounding system of traction substation are considered: construction of new cable lines, expansion of the territory of substation, etc. Calculation of corrosion processes of the grounding system consisting of three electrodes is carried out: steel in concrete, the metal gauze in soil, a steel vertical electrode in soil. Results of calculations are presented, the analysis of corrosion processes is made under various conditions.

The mathematical method of calculation of currents of corrosion of two models of grounding models - ekvipotentsialny and nonkvipotentsialny is presented. Soil and electric corrosion of both models is considered. The mathematical method of calculation of sizes of corrosion currents and potentials will allow to estimate a corrosion condition of elements of grounding system of traction substation.