Application of tensor methodology for the design of mathematical models of electromagnetic drives

Abstract

Application of tensor methodology for the design of mathematical models of electromagnetic drives

Lankin A.M., Gorbatenko N.I., Zaitov S.I., Storchak O.R., Blazhko I.O., Polukhin A.Yu.

Incoming article date: 29.07.2021

When creating a model of a nonlinear electrical system based on differential equations, it is important to keep in mind that ordinary differentiation does not give an adequate mathematical idea of ​​the nonlinear physical processes taking place. Even in the simplest case of a conductor with a current, the construction of an adequate model is only possible if the tensor approach is applied. From this point of view, any electrical system is an object of tensor methodology. A typical example of a non-linear electrical system is an AC electromagnetic drive. The nonlinear nature of the processes in such devices is due to a number of reasons. The main reasons are: current displacement in the winding of the AC electromagnetic drive and saturation of the steel of the magnetic circuit in the process of magnetization. Both phenomena admit tensor description, which is confirmed by the research presented in the article.

Keywords: dynamic characteristic of magnetization, electromagnet, mathematical model, tensor methodology