Fractal mathematical model of the service life of power transformers of distribution electric networks 6-10 kV

This article is devoted to the issues of compiling a mathematical model for determining the service life of power transformers of 6-10 kV distribution networks using the fractal analysis method. The use of the fractal analysis method in the study of power transformers makes it possible to quantify the operational parameters of the active part of a power transformer depending on the service life. In the course of the research, a mathematical model was developed that describes the change in the fractality index in time sections, regardless of its change during the life cycle of a power transformer, which allows diagnosing the state of the active part of a power transformer at any period of operation by applying statistical analysis. The studies were carried out on power transformers of the TM TMG TMZ brands with a capacity of 400 kVA of a park of transformers for distribution electrical networks, new and with defects in the active part.