In the article on the example of isomerization in the cascade of reactors with countercurrent cooling the computer modeling of optimal operational control of start-up and operation of the cascade of reactors is considered. The decision of optimization tasks was performed within Mathcad using the developed original optimization procedure using Mminimize and procedures Rkadapt to solve the system of differential equations and Matlab using the fmincon optimization procedures, genetic algorithm and procedure ode15s to solve the system of differential equations. Fragments of programs and results of the solution using Mathcad, Matlab are given
To study the mechanisms of complex chemical reactions and determine their kinetic parameters, the article proposes a method for reduction of optimization parameters. Using the proposed method, the parametric identification of a complex chemical reaction is considered: a set of kinetic constants is found that describes the experimental curves of the concentration-time dependence within this reaction model in the best way. The practical application of the method is illustrated by solving problems of parametric identification of complex chemical reactions using Mathcad. The proposed algorithm can be easily implemented using both traditional and free software.
The influence of structure of styrene-butadiene-styrene rubber on the quality characteristics of polymer-modified bitumen – produced on its basis – was identified. A program for a compromise assessment of the preference of such polymers using fuzzy sets was developed. A mathematical model was obtained that is recommended for use to optimize production and reduce costs in the industrial production of polymer-modified bitumen.
A mathematical method of reduction of optimization parameters is proposed to find the optimal settings of the PID controller. The proposed method is implemented in the Mathcad program, examples of its use for two technical objects are illustrated when a set of controller settings is found to achieve optimal quality of the control process. The first object is a computer model of the process of regulating the liquid level in the tank. The second is a computer model of the temperature control process in the tank using a PID controller. The proposed method and algorithm of the solution can be implemented using both licensed and free software
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