Abstract
The presented study is aimed at carrying out scientifically grounded assessments of the current technical state of induction motors (IMs). The existing classical theory of IMs has insufficient generality for solving this problem. It does not cover the state of IMs that feature manufacturing and technological deviations, as well as states with operational damages or ageing. The variety of IM operational states and design versions generates the need to widen the classical framework of analysis to the level of multidimensional representations. Such study was carried out within the framework of a topological approach. According to this approach, an IM is considered as a multidimensional inhomogeneous electromechanical system that can be in homogeneous or inhomogeneous states. From the methodological point of view, the topological approach is based on observing and analyzing the formal properties of a mathematical model with transferring their results to the real object. The rules and a systematized conceptual and terminological framework presented in the article play an essential role. In addition, the method of a topological study and its examples are given. Thus, the study covers all components of the scientific approach focused on a multidimensional representation of the IM operational states. The topological approach forms a scientific and methodological platform for setting up a system for monitoring the current technical state of IMs during their operation. It is pointed out that the existing diagnostic methods are focused on recording external manifestations of parametric heterogeneity. In view of this circumstance, they cannot serve as a reliable basis for drawing up conclusions on the current technical state of IMs. The topological method of operational diagnostics is focused on recording and analyzing changes in the internal properties of an object and is practically independent of the influence of external factors. This feature guarantees high reliability of the results obtained from applying the topological diagnostics method for estimating the current technical state of IMs.
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