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Title of article Matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics in Simulink
Authors

Khvostov A., Military Educational and Scientific Center of the Air Force «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy» , Military Educational and Scientific Center of the Air Force «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy»

Ryazhskikh V., Voronezh State Technical University , Voronezh State Technical University

Magomedov G., Voronezh State University of Engineering Technology , Voronezh State University of Engineering Technology

Zhuravlev A., Military Educational and Scientific Center of the Air Force «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy» , Military Educational and Scientific Center of the Air Force «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy»

Section: AUTOMATION AND INFORMATIONAL SUPPORT OF TECHNOLOGICAL PROCESSES
Year 2018 Issue 2 DOI 10.21603/2308-4057-2018-2-483-492
Annotation The dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics are based on the systems of algebraic and differential equations that describe a change in the basic technological parameters. The main difficulty in using such models in MathWorks Simulink™ computer simulation systems is the representation of ordinary differential equations (ODE) and partial differential equations (PDE) that describe the dynamics of a process as a MathWorks Simulink™ block set. The study was aimed at developing an approach to the synthesis of matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics that allows for transition from PDE to an ODE system on the basis of matrix representation of discretization of coordinate derivatives. A sugar syrup cooler was chosen as an object of modeling. The mathematical model of the cooler is formalized by a set of perfect reactors. The simulation results showed that the mathematical model adequately describes the main regularities of the process, the deviation of the calculated data from the regulations did not exceed 10%. The proposed approach significantly simplifies the study and modernization of the current and the development of new technological equipment, as well as the synthesis of algorithms for controlling the processes therein.
Keywords Mathematical modeling, dynamic systems, sugar syrup cooler, MathWorks Simulink™
Artice information Received December 19, 2017
Accepted August 18, 2018
Available online December 20, 2018
Imprint article Khvostov A.A., Magomedov G.O., Ryazhskikh V.I., and Zhuravlev A.A. Matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics in simulink. Foods and Raw Materials, 2018, vol. 6, no. 2, pp. 483–492.
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