A Mathematical Model of the Magnetic Field in the Magnetic Circuit Window of the Transformer Converter on the Basis of Poisson and Laplace Differential Equations

The technical and economic requirements for electrical devices are increasing, mainly aiming at ease of operation, increased efficiency and measurement accuracy, as well as cost reduction. These requirements can be met by conducting a comprehensive study of the components of each designed device and their characteristics. For a contactless current meter, which has found wide application in the power system, meeting the above requirements is of particular interest. However, t is impossible to achieve this without putting forward new approaches to the current converter study. Since the output signal of the current converter mainly depends on the position of the conductive conductor in the magnetic circuit window and on the structural parameters of the magnetic circuit, a new modeling approach is proposed in this paper. Analytical dependencies have been obtained which, unlike known analogues, allow one to evaluate the magnetic field image without discretizing the observed area, as well as by entering the initial values of the potential. The proposed dependencies allow the determination of the characteristic parameters of the field at any position of the conductor, while in the case of known methods it is necessary to discretize the observed area again for each new position, which leads to additional difficulties.