SubjectsSubjects(version: 837)
Course, academic year 2018/2019
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Numerical Modelling of Electrical Engineering Problems - NMNV462
Title in English: Numerické modelování problémů elektrotechniky
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2015
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: doc. RNDr. Tomáš Vejchodský, Ph.D.
Class: M Mgr. NVM
M Mgr. NVM > Volitelné
Classification: Mathematics > Numerical Analysis
Incompatibility : NMOD024
Interchangeability : NMOD024
Annotation -
Last update: T_KNM (13.04.2015)
The course aims at the computation of the nonlinear stationary magnetic field, stationary problem of heat radiation, nonlinear and anisotropic heat conduction, nonstationary problem of heat conduction and on the time periodic Maxwell equations. We will study the existence and uniqueness of the solution and discretization by the finite element method.
Aim of the course -
Last update: T_KNM (07.04.2015)

Mathematical description of problems that model heat radiation, distribution of electric, magnetic, and temperature fields in rotating electric machines, transformers, semiconductor devices, etc. Numerical models of these problems and their algorithmization. Mathematical modelling of semiconductor devices and the box method.

Literature - Czech
Last update: T_KNM (07.04.2015)

Křížek M., Segeth K.: Numerické modelování problémů elektrotechniky. Praha, Karolinum, 2001.

Křížek M., Neittaanmaki P.: Finite Element Approximation of Variational Problems and Applications. Harlow, Longman, l990.

Requirements to the exam -
Last update: RNDr. Miloslav Vlasák, Ph.D. (26.02.2018)

Oral examination from topics discussed during the course

Syllabus -
Last update: T_KNM (13.04.2015)

The course provides an overview about the proof techniques of existence and uniqueness of solutions of nonlinear partial differential equations and about their solution by the finite element method. We will use the method of monotone operators, potential operators, and we will consider questions of the existence and uniqueness of the solution, discretization by the finite element method and convergence of this method. We will use various mathematical terms such as Banach spaces, weak convergence, and monotone operators for numerical solution of particular nonlinear problems of electro-engineering. We will approximate models of heat radiation and distribution of electric, magnetic, and temperature fields in rotating electric machines and transformers by the finite element method. The emphasis will be put on questions of existence and uniqueness of both the continuous and discrete solutions, and on questions of convergence and algorithms.

Entry requirements -
Last update: doc. RNDr. Tomáš Vejchodský, Ph.D. (02.05.2018)

Linear elliptic partial differential equations of second order, weak formulation, Laplace operator, basics of the finite element method. Lectures will be adapted to respect the background of students.

 
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