In the paper, based on the Fokker--Planck--Kolmogorov equation and the statistical control theory, a mathematical model for the operative synthesis of optimal controlling influences for stabilization of the electric mode of an electric arc furnace in a two-contour structure with a high-speed electric circuit for regulating the arc currents is suggested.
Problems of determination of optimal geometric and constructive parameters of long-length structures are presented. For example, a longitudinal profile of a complicated section is adopted, its components of the stress state and its own oscillation frequencies are determined. The choice of optimal profile parameters is made for the implementation of structures with minimum equivalent stresses, as well as for ensuring maximum dynamic stiffness.
The problem of optimal processing tasks in the nodes of a distributed information system on the basis of a mathematical model belonging to a class of two-clustering problems, for which an optimization problem with a fractional linear target function is formulated, was investigated.
The article is devoted to modeling and optimization of the rectification unit for the separation of the propylene-propane mixture.
Propene (often known as propylene) is a very important building block for a large number of chemicals, including the addition polymer, poly(propene).
The technique for designing the optimal value of the filter time constant for analog signal is presented in the paper. This technique is based on the objective function which takes into account the quality index of the filtration process and the dynamic error of the filtered signal. The experimental study of the transient processes in a thermal plant was carried out in order to analyze the influence of the filter parameters on the quality of the filtration process.
The paper discusses the methods of creation of mathematical models of electric transmission lines. It is proposed to develop them on the basis of computer simulation data or data obtained by natural experiment using the "black box" approach in the form of state variables. The derived system of discrete equations in the form of state variables equivalent to the system of ordinary differential equations has been adapted to the MATLAB / Simulink software environment by creating the mathematical model using S-Function Block.
To determine the optimal parameters of the dynamic vibration absorber (DVA), a complete multi-parameter model of the dynamics of machines and structures is required. A model with two degrees of freedom is unacceptable for a sufficiently precise calculation with sufficient accuracy of the oscillations of the design, and thus for an adequate description of its dynamic characteristics. Therefore, in practice, it is necessary to investigate the design using a complex model.
A numerical optimization procedure of the local heat regime for a glass shell of revolution during welding is proposed. This procedure is based on the model of thermo-viscoelastic solid taking into account residual deformations and stresses, which emerge during welding.
An analytical model for the operation of the main gas pipeline is proposed. The results of the investigation of the domain of optimality by analytical methods are presented. The developed software is tested on real data. Comparative results of modeling and optimization by numerical and analytical methods are presented.
The paper presents the procedure of optimization of linear periodically time-variable circuits based on the calculation of circuit parametric transfer functions by the frequency symbolic method. The parametric transfer function is approximated according to the frequency symbolic method by the Fourier trigonometric polynomial, in which some or all parameters of circuit elements are given by symbols. These parameters act as variables while performing procedures mentioned.