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Modelling of Dynamic Systems

Course developer

Prior knowledge

Fizi3005, Physics for engineers III

Course abstract

The aim of the study course is to give students knowledge in Modelling of Systems' Dynamic. Students obtain principles of building and solving of differential equations for electrical, mechanical, electromechanical and hydrodynamic systems. Students obtain skills in systems' modelling using Matlab-Simulink tools.

Learning outcomes and their assessment

Knowledge - Students gain an in-depth theoretical and practical knowledge of modelling technical systems, solving differential equations for mechanical, electrical, and hydraulic systems. Gain knowledge in using Matlab-Simulink software in engineering calculations and system modelling. The knowledge gained serves as a basis for further research and development of creative thinking. Knowledge is evaluated in tests and laboratory works.
Skills - Able to use the acquired knowledge creatively to build mathematical models of technical systems using Matlab-Simulink tools. Able to evaluate system modelling results. Assessment - Execution of laboratory works.

Competences - students are able to apply professional knowledge and skills of Modelling of Dynamic Systems in practical work and studies to critically analyse complicated engineering and technical systems, determinate its limits, create and evaluate models of systems. Competences is evaluated in tests and laboratory works.

Course Content(Calendar)

1. Introduction to system modelling. Importance of modelling in engineering practice - 2h.
2. System definition, parameters and properties. System types and structures - 2h.
3. Static and dynamic systems, their parameters and characteristics - 4h.
4. Test on theoretical part of modelling.
5. Models and their types, properties and evaluation - 2h.
6. Differential equations for different types of physical systems - 2h.
7. Physical system model development - 4h. (Practical work)
8. Learning the basics of Matlab-Simulink. - 2h.
9. Simulink tool libraries and their application in dynamic system modelling - 8h. (Practical work)
10. Mathematical model of electric system - 2h.
11. Mathematical Modelling of Electrical System - 4h. (Practical work)
12. Laplace transformations - 4h.
13. Solving Differential Equations Using Laplace Transforms - 2h. (Practical Work)
14. Modelling of mechanical systems - 4h
15. Differential Equation Compilation and Solving for Mechanical Systems - 2h. (Practical Work)
16. Modelling of Oscillating Mechanical Systems and Testing of Model Performance - 4h. (Laboratory work)
17. Hydraulic system modelling - 2h.
18. Mathematical Modelling of Electric Motors - 2h.
19. Lagrange’s differential equations and their solution - 2h.
20. Derivation of Lagrange’s differential equations for mechanical systems - 4h. (Practical work)
21. Modelling of electromechanical systems using Lagrange’s differential equations - 2h.

22. Modelling and Experimental Testing of Electromechanical System - 4h. (Laboratory work)

Requirements for awarding credit points

The course ends with an exam.
In order to pass the exam, must be defended laboratory works and completed homework.

Description of the organization and tasks of students’ independent work

1. Homework. Modeling and Simulation of Electrical System in Simulink Software - 36 h.
2. Homework. Modeling and Simulation of Mechanical System in Simulink Software - 24 h.

3. Homework. Modeling of Electromechanical System Using Lagrange's Second order Differential Equation and Simulation using Simulink Software - 36 h.

Criteria for Evaluating Learning Outcomes

The student successfully defends the laboratory works, if he has made the necessary calculations and is able to answer any control question for the job.
Homework is credited if the student is able to explain the calculations done in it and interpret the results.

Compulsory reading

1. Modeling of dynamic systems with engineering applications. C. W. de Silva. Boca Raton: CRC Press, Taylor & Francis Group, 2018. 671 p.

2. Esfandiari R. S., Bei Lu. Modeling and analysis of dynamic systems. Boca raton: CRC Press, Taylor & Francis, 2014. 548 p.
3. Kaķītis A., Galiņš A. Leščevics P. Sensori un mērīšanas sistēmas. Jelgava: LLU, 2008. 396 lpp.

Further reading

1. Dynamic systems. Modeling, analysis and simulation. F. Haugan. Tapir academic press, Trondheim 2004. 213 p.

Notes

The study course is included in the Restricted elective Courses part of the Bachelor’s study program "Biosystems Machinery and Technologies". 2nd study year 4th semester.