SYDE 351 - Systems Models
I
Topics & Problems
Topics & Problems
Stephen
Birkett
|
SYDE 351 - Systems Models
I Topics & Problems |
Stephen
Birkett
|
Research
Teaching
Music
|
Lecture topics are related to the text sections. In each section additional topics not in the textbook (e.g. GTM related concepts and techniques) may be presented in the lectures. Suggested problems are listed. References are to Karnopp et al, Systems Dynamics, 4th Edition, 2006. NOTE: You should select for yourself as many exercises from the text you need in order to feel confident with the techniques taught. Links to solutions will be provided for at least some of the problems. | ||||||
LECTURE TOPICS
| DESCRIPTION
| PROBLEMS
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1.1-1.6
| Systems
approach. Modelling and
simulation; design considerations; classifying systems; state-determined systems;
basis for bondgraph (BG) and graph-theoretic (GTM) approaches. |
Ch1: 6-9
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| 2.1-2.4 | Multiports. Concept
of energy flow ports; two point (terminal) oriented measurements and polarities
(energy flow conventions); dual power (effort & flow) and energy (momentum
& displacement) variables; constructing word BGs. | ||||||
| 3.1-3.5 | Component models. Introduction
to BG notation; standard BG 1-ports SF, SE, R, C & I; 2-port TF & GY;
physical examples from electrical, mechanical translation & rotation,
hydraulic systems; 0- & 1-junctions; identities for simplifying BGs;
causality; modulated components; clarification of BG polarity conventions
and relation to GTM conventions; four different ways to connect oriented
effort and flow meters and notate these choices unambiguously. | ||||||
| 4.1-4.3, 3.6 + | Single domain system models. Constructing
single domain BG models; electrical, mechanical, and hydraulic
domains; relation to GTM approach. | ||||||
| 4.4 + | Multi-domain system
models. Transducers
and amplifiers. |
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| 5.1-5.5 | State-space formulation. Assigning
causality; generating state-space equations for simulation; defining output
variables of interest; alternate state variables; recognizing and dealing
with practical issues of algebraic loops & derivative causality (excess
storage components). | ||||||
| 5.6, 13.1-13.6 + | Numerical simulation. Introduction to numerical techniques for solution of state equations; practical techniques for selecting parameters; building simulation models for physical systems; presentation of simulation results in graphical format; explicit systems of first-order ODEs; differential-algebraic systems (DAEs); implicit systems; dealing with stiff systems. | ||||||
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