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Valid for year : 2007
 
TNG022 Modelling and Simulation, 6 ECTS credits.
/Modellbygge och simulering/

For:   ED   KTS   MES   MT  

 

Prel. scheduled hours: 48
Rec. self-study hours: 112

  Area of Education: Technology

Subject area: Electrical Engineering
  Advancement level (G1, G2, A): G2

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.
  • make 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), electrical and flow systems using the computer tools Simulink and 20Sim.
  • identify a model of a real system by choosing experiment setup, post processing of date, 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 calculation of the local error and stability area for simple simulation methods.


Prerequisites: (valid for students admitted to programmes within which the course is offered)
TNG013 Statistics and Probability, TNG028 Automatic Control

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.
Organisation:


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. How to create a coherent and systematic model from a group of unstructured basic physical relationships. Bond graphs. Use of computer algebra systems. Model reduction. Differential algebraic equations. Modelling of disturbances. Deterministic and stochastic disturbances. What does disturbances mean for the behaviour of the process? Identification of dynamic systems. How to use measurement data from the process for contruction of mathematical models. Estimation of disturbance spectra, selection of model structure. Experiment design. Simulation. Digital simulation, representation forms, numeric accuracy. The simulation language Simulink, simulators. Simulation for system analysis.
Course literature:
L. Ljung och T. Glad: "Modellbygge och simulering", Studentlitteratur 1991
L..Ljung och T. Glad: "Modellbygge och simulering Övningsbok", Studentlitteratur 1997
Examination:
Written examination
Laboratory work
 3 p
1 p
/
/
4,5 ECTS
1,5 ECTS
 


Course language is English in HT1 and Swedish in HT2.
Department offering the course: ITN.
Director of Studies: Amir Baranzahi
Examiner: Anna Lombardi och Måns Östring
Link to the course homepage at the department


Course Syllabus in Swedish

Linköping Institute of Technology
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Contact: TFK , val@tfk.liu.se
Last updated: 04/18/2007