ANALYSIS AND DATA PROCESSING SYSTEMS

Abstract
This paper describes one of the tasks of constructing the model used in the search for energy-efficient modes of non-ferrous smelters, in particular, the production of alumina which is a raw material for aluminum electrowinning. Alumina production results in high costs of electric and heat power. One of the technical methods of energy-efficient modes of search is the production processmodeling which is a continuous, closed, and inertial processhaving properties of non-linearity, which makes it impossible to build adequate models based on statistical data and requires modeling the process by mass balance equations. Here we give the differential equation used for modeling which describes the dynamics of the transition of Аl₂O₃to the undissolved state. The equation contains the reaction ratecoefficient which depends on three continually changing parameters: the decomposition process temperature, the reagent concentration and the surface area of the seed crystal. We describe the problem solution of determining the decomposition ratecoefficient of the solution through the use of fuzzy analysis as the values of the parameters listed above at any given point in time cannot be accurately determined. In the course of evaluations of each of the three parameters that affect the reaction rate, the ranges of acceptable values were determined as well as the values that best characterize this therm and the parameter values with 0 membership of this therm.We propose function types and formulae of the membership in these ranges. We describe obtaining the numerical value of the desired coefficient of the solution decomposition rate for which we performed the composition by the three parameters and defasification of results calculated using the formula of the mass center. In conclusion, we present the main results simplifying the calculation of the desired coefficient of the differential equation.

References
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