Catalog data:
Physical modelling of dynamic systems. Basic notions of modelling. Methodology, goals,
purpose of the model. System boundaries, subsystems, conservation laws. Causality, time
scales. Macroscopic versus microscopic models. Non-linear model behaviour. Spatially
distributed models, formulated in terms of partial differential equations. Model
approximation and reduction, based on time scales and time moments. Bilaterally coupled
physical subsystems. Examples from the field of process technology. |
Courseyear:
3, 4
Semester: 4/0/0/0/0
Hours p/w: 4
Other hours: -
Assessment: Oral
Assessm.period(s): by app.
(see academic calendar) |
Prerequisites:
Basic knowledge of physics, thermodynamics and fluid mechanics. |
Follow
up: wb2400 |
Detailed
description of topics:
Physical modelling of dynamic systems. Basic principles of process modelling. Formal
steps in a modelling procedure, decision structure. Methodology, goals, purpose and
validation of the model. System boundaries, subsystems, conservation laws. Causality, time
scales. Macroscopic versus microscopic models. Linearity, linearization, characterization
of non-linear model behaviour. Differential-algebraic model equations, explicit versus
implicit simulation solutions. Time scale characterization, modal approximation, time
scale separation, singularly perturbed models. Model approximation based on time moments,
Pade approximation. Compartmental models, bilaterally coupled physical subsystems.
Spatially distributed models, described in space and time. Causality, boundary conditions. |
Course
material:
O.H. Bosgra, Modelling of Dynamic Process systems
Course notes for wb2405 Preliminary version, 120
pages, TU Delft/WbMT 1994Revised version du January 1996
|
References
from literature:
-
[1] ISBN: [0-13-221242-0], Friedly,J.C., Dynamic
behavior of processes, Prentice Hall, Inc., Englewood Cliffs, NJ, 1972.
-
[2] ISBN: [3-540-50082-0], Kecman,V., State-Space
Models of Lumped and Distributed Systems., Lect.Notes Control Inf.Sci. vol 112., Springer
Verlag, Berlin, 1988.
-
[3] ISBN: [0-471-27535-2], Franks,R.G.E., Modeling and
Simulation in Chemical Engineering, John Wiley & Sons, Inc., New York, NY, 1972.,
-
[4] Himmelblau,D.M. Bischoff,K.B., Process Analysis and
Simulation. Deterministic Systems, John Wiley & Sons, Inc., New York, NY, 1968.
-
[5] ISBN: [3-527-28577-6], Ingham,J. Dunn,I.J.
Heinzle,E., Chemical Engineering Dynamics. Modelling with PC Simulation, VCH
Verlagsgesellschaft, Weinheim, W.Germany, 1994.
|
Remarks
(specific information about assesment, entry requirements, etc.): |
Goals:
The goal of the course is to provide an
introduction to the basic steps of physical system modelling, model simplification and
model simulation. The course discusses many example problems from the area of process
dynamics, chemical processes, and dynamic mechanical systems.
|
Computer
use:
The computer will be a key instrument in all steps
of model formulation, model simulation and model approximation. The modelling and
simulation exercise is an individual exercise where the student has to formulate a dynamic
model on the basis of a description of the system in the form of a paper or article from
the literature. Subsequently, a simulation using Simulink (or similar) is required to
investigate and assess the dynamic properties and behaviour of the plant or system under
study, as relevant for its operation.
|
Laboratory
project(s): |
Design
content:
The goal of the course is modeling as part of a
process of control system design activity.
|
Percentage
of design: 0% |