PARAMETER IDENTIFIABILITY OF THE MATHEMATICAL MODEL OF A CHEMICAL REACTION

Целью статьи является определение параметров математической модели химической реакции пиролиза пропана. В статье представлены найденные оптимальные значения кинетических параметров пиролиза пропана и показано, что модель правильно описывает имеющиеся экспериментальные данные. The aim of this paper is to determine the parameters of a mathematical model of the chemical reaction of propane pyrolysis. The importance of the topic is due to the modern needs of industry, such as the improvement of chemical reactors and oil or gas processing. Mathematical modeling of the process is based on the use of the mass conservation law. The article presents the theory, methods and algorithms for determining the parameters of a mathematical model of a chemical reaction. To solve an initial (forward) problem, implicit methods for solving stiff ODE systems are used. The genetic algorithm to solve the inverse problem are used. We also apply sensitivity analysis and identity analysis before solving the inverse problem. The article presents the found optimal values of the kinetic parameters of propane pyrolysis and shows that the model correctly describes the available experimental data.