Modelling and Simulation

Aim

The course aims at providing knowledge of methods and principles for building mathematical models for dynamic systems. Properties of models are also studied by means of simulation. After completed course the student should be able to:

• using physical relations to model mechanical, electrical and flow systems, and combinations of these, by building bond graphs, block diagrams and DAE models
• identify models of real systems using classical system identification and machine learning-based methods and analyse the properties of the estimated models
• analyse numerical methods and their properties
• model and simulate mechanical and electrical systems with the help of computer tools Simulink and OpenModelica
• Identify a model of a real system by choosing experiment setup, post processing of data, model structure and validation
• write an analytical technical report in English.

Content

Part I:Models and the model conceptDifferential equations, difference equationsStatistic and dynamical relationship. Principle for model buildingBond graphs Block diagramsDifferential algebraic equations

Part II:Methods to build models based om measurement data from processes Black box models Parametric estimation of linear dynamic models Model estimation based on Machine learning Model validation

Part III:Numerical methodsNumeric accuracy and stabilitySimulation languages Simulink and Modelica

Communication in English:Write an analytic report in English correlated to the course content. .