|
Lecturer(s)
|
-
Mlýnek Jaroslav, doc. RNDr. CSc.
|
|
Course content
|
1. Mathematical models of practical physical problems 2. Mathematical models of thermal conduction in case of stationary and non-stationary thermal process 3. Use of functional analysis principles 4. Weak formulation of stationary heat problems 5. Principle finite element method use 6. Principle finite volume method use 7. Calculation of stationary magnetic field 8. Stationary problem of thermal radiation 9. Non-stationary thermal conduction in stator of rotary machines 10. Example of model composition and numerical calculation of warming transformer screening in condition of stationary machine load 11. Models of thermal conduction and their solution in case of non-stationary electrical machine load 12. A posteriori estimates in case of elliptical problems solution 13. A posteriori estimates in case of parabolic problems 14. Time allowance
|
|
Learning activities and teaching methods
|
Monological explanation (lecture, presentation,briefing)
- Class attendance
- 28 hours per semester
- Home preparation for classes
- 20 hours per semester
- Preparation for exam
- 20 hours per semester
|
|
Learning outcomes
|
Mathematical description of problems that model distribution of electric, magnetic, and temperature fields in electric machines. Numerical models of these problems and their algorithmization.
Students will be prepared to realise of technical problems analyse and practical numerical calculation in electrotechnical area. The course is oriented to mathematical description and numerical solution of problems. The solved problems above all describe distribution of thermal, electrical and magnetic area field in electrical rotating machines, transformers, semiconductor device etc.
|
|
Prerequisites
|
Fundamentals of functional analysis, numerical analysis
|
|
Assessment methods and criteria
|
Combined examination
Exam: Written, composed of the theoretical and computational part.
|
|
Recommended literature
|
-
Haslinger, J.:. Metoda konečných prvků pro řešení eliptických rovnic a nerovnic.. Praha, SPN, 1980.
-
Koukal, S., Křížek, M., Potůček, R. Fourierovy trigonometrické řady a metoda konečných prvků v komplexním oboru.. Academia, Praha, 2002.
-
Křížek, M., Neittaanmäki, P. Mathematical and Numerical Modelling in Electrical Engineering: Theory and Applications. Dordrecht, Kluwer Academic Publishers, 1996.
-
Křížek, M., Segeth., K. Numerické modelování problémů elektrotechniky. Praha, Karolinum, 2001.
|