| TNG022 |
Modelling and Simulation, 6 ECTS credits.
/Modellbygge och simulering/
For:
ED
KTS
MT
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OBS! |
The course include a part of the syllabus block "oral and written communicatio in english"
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Prel. scheduled
hours: 48
Rec. self-study hours: 112
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Area of Education: Technology
Main field of studies: Electrical Engineering
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Advancement level
(G1, G2, A): G2
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Aim:
The course aims at providing knowledge of methods and principles for building mathematical models for dynamic systems. Model construction from physical principles as well as from measurement data is covered. Properties of models are also studied by means of simulation. After completed course the student should be able to:
- define, describe and apply basic concepts related to modelling, identification and simulation.
- simplify a given model using static relations, substitution of variables using constants, neglection of small effects and aggregation of states.
- using conservation laws and constitutive relationships and other physical relations to model mechanical (in one dimension), electrical and flow systems, and combinations of these, in DAE form and (if possible) in state space representation.
- contruct bond graphs for the type of systems mentioned above, simplify and analyze the bond graph according to causality conflicts, and from a given bond graph without conflicts make a state space representation.
- calculate the index of a given DAE.
- model and simulate mechanical (in one dimension) and electrical systems using the computer tools Simulink and 20Sim.
- identify a model of a real system by choosing experiment setup, post processing of data, model structure and validation.
- calculate asymptotic bias and variance properties of a given linear identification problem.
- decide if a give simulation method is implicit or explicit and how many steps it consists of, and calculation of the local and global error and stability area for simple simulation methods.
- communicate, orally and in writing, in English
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Statistics and Probability, Automatic Control, Basic Technical English.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
The course consists of lectures, tutorials and laboratory sessions
The course include a part of the syllabus block "oral and written communication in english" for ED, KTS and MT.
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Course contents:
Models and the model concept. Differential equations, difference equations. Description of statistical dynamical properties. Physically based equations for model building: energy balance, mass flow balance, Newtons laws of movement, etc. General principles for model building. Bond graphs. Model reduction. Differential algebraic equations. Identification of dynamic systems: methods to build models based om measurement data from processes. Blackbox models. Parametric estimation in linear dynamic models. System identification as model building tool. Model validation. Simulation: numeric accuracy and stability. The simulation language Simulink. Individual reports will be written in English. Presentation and opposition in English.
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Course literature:
L. Ljung och T. Glad: "Modellbygge och simulering", Studentlitteratur 1991
L..Ljung och T. Glad: "Modellbygge och simulering Övningsbok", Studentlitteratur 1997
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Examination: |
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Written examination
Laboratory work
Written report and opposition in English
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4 ECTS
1 ECTS
1 ECTS
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Written report in English on laboratory work is a part of examination. |
Course language is English .
Department offering the course: ITN.
Director of Studies: Adriana Serban
Examiner: Anna Lombardi
Link to the course homepage at the department
Course Syllabus in Swedish
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