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Articles by V.V. Grechikhin
Total Records ( 5 ) for V.V. Grechikhin
  D.N. Shurygin , N.I. Gorbatenko , V.V. Grechikhin and D.V. Shaykhutdinov
  The study considers the problem of geometrization of physical-mechanical properties of rocks of the coal strata. The solution of the inverse problem of diagnostics of a condition of the geophysical parameters of the geological space is considered. The approach is proposed for determining the parameters of the regression equation of physical and mechanical properties on the geophysical parameters defined in the exploratory wells. Optimization of parameters of mathematical models is based on the solution of the inverse problem of diagnostics of a condition of the geophysical parameters by the method of full-scale modeling of the experiment. The regularization criterion takes into account the principles of self-organization of mathematical models of complex systems. Identification of the parameters of the regression equation carried out on the basis of algorithm with successive selection of trends (the method of group accounting of arguments).
  A.L. Balaban , Yu.A. Bakhvalov , V.V. Grechikhin and D.V. Shaykhutdinov
  The study is proposed of the method for optimal design electromagnets of high-precision systems for positioning objects in a horizontal plane, based on the solving conditionally-correct inverse problems and the transformation of constraints on the tractive force, flux density in the gap of the electromagnet of high-precision system and temperature of the coil in the criteria (objective functions). Minimization of these objective functions is performed by gradient descent numerically. In this case is solved sequence of the direct tasks of calculation of magnetic and heat fields. The fourth criterion is the mass of the electromagnet. Minimizing mass is performed analytically. Objective functions are ranked by importance. Method is a modification of the method for solving multicriteria problems the method of lexicographic ordering. Modification takes into account the features of the designed object; each objective function depends on a limited number of parameters of the object. The formula for calculating the optimal parameters are given. The study shows the results of experimental research. The proposed method is more effective than the known methods for example, the method of the main criterion and the method of penalty functions. The method is highly efficient and can be used in optimal design of a variety of electrotechnical devices.
  S.P. Vorobyev , D.V. Shaykhutdinov , E.V. Kirievskiy and V.V. Grechikhin
  The study shows the necessity and features of the design of distributed information-measuring systems of precision multifunctional measuring complexes. The use of the ethernet family standard is the basic technical solution for building the information level. The formulation of a mathematical model of the structure optimization of a distributed information-measuring system which is reduced to a modified clustering problem is presented. It is proposed to use an approach based on a genetic algorithm to solve the problem. The research of the algorithm is performed by analyzing the modifications of the classical algorithm based on the variable mutation, under which the mutation probability varies depending on the needs of the algorithm. Results of numerical experiments showing the advantage of the proposed formulation of the problem for constructing the architecture of a distributed information-measuring system are presented.
  A.L. Balaban , Yu. A. Bakhvalov and V.V. Grechikhin
  The study is devoted to mathematical modeling of magnetic fields of positioning systems, the active elements of which are made of ferromagnets with shape memory effect. The development of effective systems of mathematical modeling of three-dimensional magnetic fields, necessary at the stage of design of positioning systems with ferromagnets with shape memory as well as the identification and diagnosis of such systems is relevant. In this study, one of the ways to increase the efficiency of modeling systems is considered. This is the application of a combined method combining the finite element grid method for field analysis in nonlinear calculation subdomains (ferromagnets) and the gridless method of fundamental solutions for calculating the field in linear subdomains (surrounding ferromagnet space and coils with current). The computational algorithm is developed on the basis of the mathematical model and the results of the solution of the test problem. Examples of its application are given. A distinctive feature of the proposed approach is the creation of a mathematical model of minimum dimension which provides a significant reduction in the calculation time. For the first time, vector point fictitious magnetic moments are used for the analysis of electromagnetic systems by the method of fundamental solutions. The new point sources of the field provide higher accuracy of calculation in comparison with magnetic dipoles. This allows solving the problems of designing positioning systems, performing their diagnostics in real time.
  A.M. Lankin , M.V. Lankin , V.V. Grechikhin and D.V. Shaikhutdinov
  The study describes a method for obtaining weber-ampere characteristics of the electromagnetic AC devices using the method of natural-model tests. For natural-model tests of electrical devices a mathematical model implemented in the software package Labview has been proposed. During the research of the method, measuring of weber-ampere characteristics of the electrical device a toroidal output transformer was carried out. A comparison with the exemplary weber-ampere characteristic was carried out, the characteristics received using the method based on natural-model experiment. It is proposed to assess the degree of difference between these characteristics to use the distance between the two compared characteristics normally to a tangent point created in the analyzed point taken on the exemplary characteristics. The effect of current harmonics measurement error on the metrological performance of the proposed method has been studied.
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