Matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics in Simulink
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™ com...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kemerovo State University
2018-12-01
|
| Series: | Foods and Raw Materials |
| Subjects: | |
| Online Access: | http://jfrm.ru/?page=archive&jrn=12&article=26 |
| Summary: | 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. |
|---|---|
| ISSN: | 2308-4057 2310-9599 |