mathematical modeling

The article presents an analysis of automatic adjustment system of level liquid in the tank in case the use of frequency-controlled asynchronous electric pump unit. It is proved expediency and conditions of use P- and PI- regulator. The recommendations of settings regulators have given. These results of automatic adjustment control system of level are obtained by computer simulation using Matlab-Simulink.

The electromechanical and electromagnetic transient processes in a power generation system with turbo-generator and brushless excitation for main working regimes are analyzed in the article. An analysis has been carried out by means of developed with the use of the object-oriented method the mathematical and computer models that take into account non- linearity of synchronous machines and discreteness of semiconductor converters.

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.

Operational control of quality vegetables can be made using the method immitance control their electrical parameters.Vegetables – are objects of non-electric nature, and their juices – this electrolyte solutions, where there are free charged particles – ions, and it immitance method is based on measuring the electrical conductivity control objects. Therefore, research is relevant electrical parameters vegetable juices as well as development of electric and mathematical models immitance contact transducer.

During the operation of the building there are situations when it is necessary to change the planning decision, which leads to interference in the bearing elements of the structure. Strengthening of any element of design – a complex engineering task that involves determining the degree of damage and the method of its strengthening.

Algorithms for the mathematical modeling of the direct current electrical prospecting in the 3D complex boundary geomedia are presented. Methods of normalization VES data for the interpretation accounting any surface relief are suggested. Effective algorithms of the direct problem solution for a horizontal layered halfspace are chosen. On the basis of the above the software for electrical prospecting modeling and VES data interpretation is developed.

Simulation model of the mechanical component of the fully differential capacitive MEMS accelerometer has been developed using MATLAB/Simulink environment. The model allows to simulate movement of the proof mass, capacitance changes of the sense capacitors of the sensitive element, sensitivity of the sensor depending on the applied force of acceleration, and to perform the transient analysis of the integrated device at the system level of computeraided design.

Mathematical modeling of effective elastic and acoustic properties of granite reservoir rocks that has different pore space structure was done. The acoustic properties of granite porous-cracks reservoir were determined. The algorithm and software for solving the problem of joint inversion of seismic and gravimetric data based on Born’s approximation for the space-time Green's function with meansquare background velocity for the horizontally-layered medium has been developed and tested (on an example of the Prykerch shelf model).

The dependence of rheological properties fanerozoj rocks from one-directional tectonic forces and comprehensive pressure are investigated using the experimental data. The stress and strain fields are obtained based on the solution of two-dimensional problems of thermo-elasto-plasticity. These fields prove the dependence of comprehensive pressure and plasticity of the rocks from the levels of one-directional tectonic forces.

Questions of the mathematics modeling of local and global processes of Geodynamics are examined. The model of the process must take into account all its sources at the same time. This demand can be ensured by simultaneously calculating variations from all results of observations of geodynamic features. This task is solved by the determination and use of properties of covariance functions for fields of observation results.