TNG022 Modelling and simulation, ECTS-points
/Modellbygge och simulering/

Advancement level:
C

Aim:
The course aims at providing knowledge of methods and principles for buildning mathematical models for dynamic systems. Model construction from physical principles as well as modellning initiated from measurement is covered. Also, we study model properties by means of simulation.

Prerequisites:
TNG013 Statistics and Probability

Course content:
Models and the model concept. Differential equations, difference equations. Description of statistical dynamical properties. Stationary solutions, stability and linearization. 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. 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

TEN1, 3 p.
LAB1, 1 p.
Course language is English.