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Articles by A.L. Balaban
Total Records ( 2 ) for A.L. Balaban
  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.
  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.
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