mathematical modeling

Mathematical modeling of 2-hydroxyethylmethacrylate with polyvinylpyrrolidone copolymerization process according to technological parameters of the exothermic reaction has been carried out by Scheffe’s simplex-lattice planning method.  Optimization of polymer monomer composition formula has been carried out and the regression equations of the main parameters of exothermic polymerization –– gelation time, the duration of the gel effect area, and the maximum temperature of the exotherm have been obtained.  Using the mathematical model obtained, the content of the initial composition has been

On the basis of a generalized interdisciplinary (interdisciplinary) method of mathema- tical modeling, which is based on modifications of the integral variational principle of Ha- milton-Ostrogradsky, proposed mathematical model of the ultra-high voltage circuit-breaker the main emphasis of which is placed on modeling work the mechanism of moving his contacts.

The paper on the basis of interdisciplinary approaches presented mathematical model of the electric power system, a key element of which is the power line that connected substation “Zakhidnoukrayins’ka” — substation “Vinnyts’ka”. On this basis, the analysis of transients in the power line to single-line performance. Results transients are presented as figures which analyzed.

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.