FEM - Finite element method in electrical engineering

PDF Course Catalog Deutsche Version: FEM

Version: 2 | Last Change: 29.04.2022 18:23 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben

Long name Finite element method in electrical engineering
Approving CModule SIM_MaET
Prof. Dr. Wolfgang Evers
Professor Fakultät IME
Level Master
Semester in the year summer semester
Duration Semester
Hours in self-study 78
Prof. Dr. Wolfgang Evers
Professor Fakultät IME
Requirements - Electrostatic: field strength, flux density, dielectrics
- Electromagnetism: field strength, flux density, flux, magnetic circuits, induced voltage
Language German
Separate final exam No
Thomas Westermann, Modellbildung und Simulation
Thomas Westermann: Mathematik für Ingenieure

Learning goals

Discretisation of physical problems using the example of an electrostatic arrangement
- One-dimensional model
- Two-dimensional model
- Replacement of partial derivatives by finite differences
- Boundary conditions
- Setting up the linear system of equations
- Different methods for solving the system of equations
- Result representation with interpolation
- Use of boundary-fitted grids
- Solving a two-dimensional electrostatic problem with FEM software
- Exploiting symmetries in the simulation
- Solving a two-dimensional magnetic problem with FEM software
- Extending the magnetic problem to include non-linear material properties
- Extension of the simulation by program-controlled variation of parameters and automatic output of characteristic diagrams with Python
Carry out and critically evaluate FEM simulations on various physical effects
Expenditure classroom teaching
Type Attendance (h/Wk.)
Lecture 2
Exercises (whole course) 2
Exercises (shared course) 0
Tutorial (voluntary) 0
Special literature
Special requirements
Accompanying material
- electronic lecture slides for the lecture
- electronic exercise task collection
Separate exam
Exam Type
other course-related type of test
The students independently solve tasks in which given physical arrangements are to be calculated with an FEM programme. Subsequently, a report is written in the form of a conference paper.
The examinations during the course consist of three tasks with different scope and correspondingly different influence on the grade:
1. Simulation of two electrostatic arrangements. Exploitation of model symmetries. (20 %)
2. Simulation and optimisation of a magnetic arrangement with materials with linear and non-linear magnetisation characteristic. (20 %)
3. Automation of a simulation of a magnetic arrangement with Python and calculation of characteristics by parameter variation and output to a diagram. (60 %)

Translated with (free version)
Minimum standard
- Functional simulation with physically meaningful results.
- Comprehensible presentation of the results in the respective report.
- Achievement of 50% of the total points to be awarded.

© 2022 Technische Hochschule Köln