Course detail
Electromagnetic Field Modeling
FEKT-MPC-MEMAcad. year: 2025/2026
Principles of the finite element method and its application to different variants of electromagnetic fields. In the computer-based exercises, the possibilities and perspectives of the method are shown and practiced together with various application examples facilitating the computation of various types of electromagnetic fields (the static to optical frequency forms). In addition to the above mentioned elements, the students carry out the following tasks:
- practice in the ANSYS environment
- solution of more complex tasks by means of working input data
- direct solution of Maxwell’s equations via the method of finite differences in the time domain (FDTD)
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
The credits are awarded to students who actively participate in all tutorials (computer-based exercises), submit all assigned tasks, and win at least the minimum of 30 pts for the tasks submitted.
In order to successfully complete the course, a student is required to gain the credits before taking the semester exam, and the exam results must not be below 20 points.
The controlled instruction and methods of its realization are stipulated within the yearly directive issued by the guarantor of the subject.
Aims
An overview will be provided of the principles characterizing the methods for numerical modelling of electromagnetic fields. On this basis, the students will be able to:
- explain the numerical modelling methods
- perform a numerical analysis of simpler problems related to the electrostatic field, the steady-state electric field in conductive materials, the magnetostatic and stationary magnetic fields, the vf electromagnetic field.
- set up a numerical model for combined coupled problems (electromechanical, electrothermal).
Study aids
Prerequisites and corequisites
- recommended prerequisite
Selected Parts from Mathematics for Engineers
Basic literature
Dědková, J., Kříž T.: Modelování elektromagnetických polí. Skripta, VUTIUM, Brno 2012. (CS)
Haňka, L.: Teorie elektromagnetického pole, Praha, SNTL, 1982. (CS)
Recommended reading
Quarteroni, A., Manzoni, A., & Negri, F. (2015). Reduced basis methods for partial differential equations: An introduction (pp. 1-263) doi:10.1007/978-3-319-15431-2 (CS)
Classification of course in study plans
- Programme MPC-BIO Master's 0 year of study, summer semester, compulsory-optional
- Programme MPC-EAK Master's 1 year of study, summer semester, compulsory-optional
- Programme MPC-EEN Master's 1 year of study, summer semester, compulsory-optional
- Programme MPC-KAM Master's 1 year of study, summer semester, compulsory-optional
- Programme MPC-MEL Master's 1 year of study, summer semester, compulsory-optional
- Programme MPC-SVE Master's 1 year of study, summer semester, compulsory-optional
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Elements, shape and approximation functions, examples of approximation.
Principle of the finite element mesh generators and their handling.
Discretization of 1D and 2D linear Poisson equation.
Discretization of 2D non-linear Poisson equation.
Basic equations of the electromagnetic field and different potentials.
Reduced, differential and general scalar potential method for the magnetic field.
Time dependent field solution by FEM.
Principles and reason for the introduction of the edge elements.
Solution of Maxwell equations in the frequency domain. Examples: waveguides, antennas.
Direct solution of the Maxwell equations by the FDTD method
Exercise in computer lab
Teacher / Lecturer
Syllabus
Program ANSYS - úvod.
Modelování elektrického pole programem ANSYS
2D modelování magnetických obvodů programem ANSYS
3D model magnetického pole transformátoru od ANSYS.
Modely vlnovodu pole od ANSYS.
Model stínění ANSYS.
Aplikace MKP systému v prostředí MATLAB.
Výpočet polí systémem MKP v MATLABu.
Elektrické pole v rozvodné stanici metodou simulace náboje.
Vlnová difrakce na válci pomocí programu FDTD.