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  • Regression model of errors in the approximation of the current curve for measuring magnetic characteristics

    The construction of a regression model of errors in the approximation of the current curve from factors affecting this error is described. The following factors are selected as influencing factors: the number of coefficients of the Bessel-Fourier decomposition and the number of points on which the original function is constructed. Experimental data were obtained as a result of modeling electrical processes occurring in a pulsed magnetization reversal system.

    Keywords: permanent magnet, regression model, Bessel-Fourier decomposition, approximation, momentum, factors, function, curve, momentum, error

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

    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

  • Construction of a regression model of a device for measuring the impedance of a biological object

    it is known that the human body consists of water, proteins, minerals and adipose tissue, the sum of which is body weight. An important condition for maintaining health is the balance of the main components found in the internal organs of a person. Currently, the development of modern technologies allows you to find out the exact composition of your body, as well as internal organs, without complicated analyzes, using special devices that are based on measuring the bioimpedance of living tissue. Absolutely all tissues can conduct electric current, while the more water in the tissues, the more electrical conductivity and less resistance., The opposite is also true. Bioimpedance analysis measures the reactance of parts of the human body at different frequencies. On the basis of which the characteristics of the composition of the body or internal organs are calculated. Meanwhile, the measurement of the impedance of a person or his internal organs is associated with certain problems. So distorting factors can be the position of a person in space, improperly prepared areas of the body from which data are taken, improper placement of electrodes, poor contact. The aim of this work was to construct a regression model of a device for measuring the impedance of a biological object (BO), reflecting the contribution of the BO impedance to the total impedance of the entire measurement section.

    Keywords: distributed information processing system, self-similar flow, average response time of the system, simulation, object-oriented concept, agent-based and discrete-event modeling