TMR4275 - Modelling, Simulation and Analysis of Mechatronic Systems


Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Semester test 20/100 2 hours D
work 30/100
Written examination 50/100 4 hours D
Home examination 50/100 4 hours A

Course content

This course gives an introduction to physical principles and laws that are used to describe the dynamic behaviour of physical systems and introduces methods for development of mathematical models for such systems. An energy based approaches to modelling of such systems are introduced using a graphical systematic and unified method used as both an representation and as a methodology for development of consistent proper mathematical models. From a set of generalised variables a set of basic elements are developed and used for modelling of mechanical, electric, hydraulic, thermal and composite systems. Introduction to numerical methods for solution of mathematical models in state space form, system analysis and numerical simulation are given. A broad selection of engineering systems will be selected for modelling and simulation.

Learning outcome

Having successfully completed this course the students should be able to demonstrate competence in:
- understanding of the consept of mathematical models and modeling of physical systems, simulation and analysis of physical systems and the steps involved in using such methods as a tool for problem solution.
- knowledge about the physical foundation of the Bond-Graph method as a methodology to derive mathematical models.
- how to indentify physical laws and component descriptions according to the Bond Graph methodology, and to assess the validity of these for use in model building and simulation.
- how to use the Bond Graph method for modeling of mechanical, electrical, hydraulic, termal and thermodynamic systems plus hybrid and multidisiplinar systems in general.
- how to develop the dynamic equations in state space form directly from the Bond Graph.
- how to develop the state space equations for systems with differential causality or algebraic loops, i.e. implicit or differential-algebraic first order differential equations, using causality analysis and/or model modification.
- how to develop models of mechatronic or hybrid systems and carry out simulations for evaluation of the dynamic properties of the models or in support of problem solution.
- how to utilize modern modeling and simulation software as 20-Sim and Matlab for modeling, simulation and analysis of dynamic systems.

Learning methods and activities

Lectures, exercises, computerlab and project work. All lectures will be in English.

Compulsory assignments

  • Exercises

Further on evaluation

Portfolio assessment is the basis for the grade in the course. The portfolio includes a final written exam (50%), mid-term test (20%) and project work (30%). The results for the parts are given in %-scores, while the entire portfolio is assigned a letter grade.
Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.
Postponed/repeated exams may be oral.
For a re-take of an examination, all assessments during the course must be re-taken.

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Required previous knowledge

Undergraduate knowledge in mechanical dynamics, physics, fluid dynamics, electric circuits and thermodynamics.

Course materials

Pedersen, E., Engja, H., Mathematical Modelling and Simulation of Physical Systems, Lecture Notes, UK-2014.

Credit reductions

Course code Reduction From To
SIN2040 7.5
TEP4240 3.7 01.09.2015
More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  AUTUMN 2020

No.of lecture hours: 3
Lab hours: 6
No.of specialization hours: 3

Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 3
Lab hours: 6
No.of specialization hours: 3

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Marine Technology



Examination arrangement: Portfolio assessment

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Semester test 20/100 D
Room Building Number of candidates
Spring ORD Semester test 20/100 D
Room Building Number of candidates
Autumn ORD work 30/100
Room Building Number of candidates
Spring ORD work 30/100
Room Building Number of candidates
Spring ORD Written examination 50/100 D INSPERA
Room Building Number of candidates
Autumn ORD Home examination 50/100 A

Release 2020-12-09

Submission 2020-12-09

Release 09:00

Submission 13:00

Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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