- create a description of mixed physical (electrical, thermal, mechanic and physical transport) systems in terms of a set of (ordinary) differential equations, using principles like conservations laws and continuity relations
- describe a distributed system as a set of linked lumped systems
- can analyze system behavior through simulation tools and discuss the validity of the model representing the system
- interpret system properties via the response of probe signals (pulse, step and trend)
- explain what is stability and control, design a feedback system
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In this course, you will learn more about modelling of simple thermal systems. In addition, you will be introduced to modeling physical systems in general, and how to linearize non-linear systems.
After this introduction the three main topics of the modelling part are dealt with:
- Mixed systems combining components from different physical domains,
- Stability and Control of systems and
- Distributed systems.
These topics are accompanied with 4 practicals;
- Characterization of an electro-motor (write measurement report),
- The design of a feedback for a motor-generator pair (same),
- The non-uniform heating of a rod (full report)
- The heat transfer in a flow experiment (oral exam).
Important note for minor students
This course is open to minor students, but be aware that you need prior knowledge and experience in the following topics, at the first-year level: basic Mechanics, programming in Matlab/Python/Mathematica, electrical network analysis, and Kirchhoff laws. You should also have basic mathematical skills: working with complex numbers, differential equations, transfer functions, and Laplace transformation.
This module is a follow-up to a first-year AT/TN module that treats these topics, so do not expect that there will be much time and support to catch up. If you want to follow the module but are not sure about your prior knowledge, contact us and let us know which topics you have and haven’t had in your studies. In some circumstances, you may be able to take our first-year course Dynamical Systems (202000623) instead of Models, using recorded lectures. Discuss this with us and check with your own examination board if they would accept a first-year AT course in the elective part of your study programme.
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