Adaptive technology for constructing the kinetic equations of reduction reactions under conditions of a priori uncertainty

Demin, Dmitriy; Domin, Oleh

doi:10.21303/2461-4262.2021.001959

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…The standard processing of this orthogonal plan makes it possible to estimate all the coefficients of the regression equation and remove the insignificant ones [19,20]. Under conditions of a small sample of initial data, in some cases it may be useful to use any of the fractional replicas of the full factorial experiment [21,22]. A significant strengthening of this idea is to find and devise a procedure for extracting an orthogonal representative replica-like truncated plan from the full plan of this experiment, which could be used to estimate all the coefficients of the regression equation.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Statistical processing of a small sample of raw data using artificial orthogonalisation technology

Раскін

Sukhomlyn

Karpenko

et al. 2023

EEJET

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This paper addresses the task to devise a statistical estimation procedure in an event where the volume of the array of initial data used in processing is insufficient to correctly determine the parameters of the response function. The object of research is the technology of statistical processing of a small sample of data. The subject of the study is the methods of statistical estimation under conditions of a small sample of initial data. The main direction is to devise a special procedure for statistical processing of a small sample of initial data, which provides a correct statistical estimation of the parameters of the response function. The method for solving the problem is the selection of the most representative orthogonal replica-like subplan from the plan of a complete factorial experiment obtained by artificially orthogonalizing the results of a passive experiment. The necessity and expediency of the proposed procedure is a consequence of the unpredictability and uneven distribution of points in the phase space of coordinates. The result of the implementation of the corresponding procedure is a truncated orthogonal plan of the full factorial experiment, which provides the possibility of independent estimation of all coefficients of the regression polynomial describing the response function. Under conditions of a severe shortage of the number of measurements, the procedure makes it possible to isolate a representative orthogonal replica from the resulting plan of a complete factorial experiment. Using this subplan of the full factorial experiment plan makes it possible to evaluate all the coefficients of the regression polynomial that describes the desired response function. The corresponding computational procedure is based on solving the triaxial Boolean assignment problem

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Statistical processing of a small sample of raw data using artificial orthogonalisation technology

Раскін

Sukhomlyn

Karpenko

et al. 2023

EEJET

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Experimental and industrial method of synthesis of optimal control of the temperature region of cupola melting

Demin¹

2023

Eureka: PE

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The object of research is the temperature regime of melting in a cupola. The synthesis of optimal control of such an object is associated with the presence of a problem consisting in the complexity of its mathematical description and the absence of procedures that allow one to obtain optimal control laws. These problems are due to the presence of links with a pure delay, non-additive random drift, and difficulties in controlling the process parameters, in particular, accurately determining the temperature profile along the horizons and the periphery of the working space of the cupola. The proposed conceptual solution for the synthesis of optimal temperature control allows the use of two levels of control: the level controller solves the problem of maintaining the constant height of the idle charge, and the problem of increasing the temperature of cast iron is solved by controlling the air supply to the tuyere box. It is shown that the problem of regulating the upper level of an idle charge can be solved by reducing the model of the regulation process to a typical form, followed by the use of the Pontryagin maximum principle. A procedure for the synthesis of optimal air flow control is proposed, which makes it possible to obtain the temperature regime control law on the basis of experimental industrial studies preceding the synthesis process. This takes into account the time delay between the impact on the object and its reaction, which makes it possible to predict the temperature value one step acharge, equal to the time interval during which the lower surface of the fuel charge reaches the upper surface of the level of the idle charge. A procedure for temperature profile control based on the use of D-optimal plans for selecting sensor installation points is proposed. Due to this, it becomes possible to determine the temperature profile of the cupola according to its horizons and the periphery of the working space of the cupola with maximum accuracy. The proposed synthesis method can be used in iron foundries equipped with cupolas, as it is a tool for studying a real production process, taking into account its specific conditions. This will allow developing or improving control systems for cupola melting, implementing different control modes: manual, automated or automatic

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Adaptive technology for constructing the kinetic equations of reduction reactions under conditions of a priori uncertainty

Cited by 2 publications

References 16 publications

Statistical processing of a small sample of raw data using artificial orthogonalisation technology

Statistical processing of a small sample of raw data using artificial orthogonalisation technology

Experimental and industrial method of synthesis of optimal control of the temperature region of cupola melting

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