ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 102 Hours of tutorials: 6 Expository Class: 18 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Applied Mathematics, External department linked to the degrees
Areas: Applied Mathematics, Área externa M.U en Matemática Industrial
Center Faculty of Mathematics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
Description of the packages FLUX2D and FEKO for the numerical solution of industrial electromagnetic problems, both in low (FLUX2D) and high frequency (FEKO). Study of the numerical methods used by these commercial packages.
1. Numerical solution of low-frequency electromagnetics problems.
a. Finite element method: Lagrange finite elements and edge finite elements.
b. Different formulations of 2D, 3D and axisymmetric mathematical models: electrostatic, direct current, magnetostatic and eddy currents.
2: Description of the FLUX2D® package.
a. Presentation and description of the software.
b. Use of the package to solve industrial problems based on the models studied.
3. High frequency electromagnetic study: time and frequency domain analysis methods.
4. Description of the FEKO software package.
a. Presentation and description of the software.
b. Use of the software package in the analysis of antennas and radiating systems with different characteristics and using different analysis methods.
Basic bibliography:
FLUX2D User’s guide.
A. Bermúdez, D. Gómez, P. Salgado, Mathematical models and numerical simulation in electromagnetism. Springer, 2014
C.A. Balanis, Antenna Theory: Analysis and Design. Wiley. 4ª ed, 2016
User Manual for FEKO.
Complementary bibliography:
A. Bossavit. Computational electromagnetism. Variational Formulations, Complementarity, Edge Elements. Academic Press. San Diego, CA, 1998.
B.D. Popovic, Introductory Engineering Electromagnetics, Addison Wesley, 1971.
A.B. Reece and T.W. Preston, Finite Elements Methods in Electrical Power Engineering, Oxford University Press, Oxford, 2000.
P.P. Silvester and R.L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, Cambridge, 1996.
Basic:
CG1: To have knowledge that provide a basis or opportunity for originality in developing and / or applying ideas, often within a research context, knowing how to translate industrial needs in terms of R & D in the field of mathematics Industrial.
CG4: To have the ability to communicate the findings to specialist and non-specialist audiences in a clear and unambiguous way.
Specific:
CE4: To be able to select a set of numerical techniques, languages and tools, appropriate to solve a mathematical model.
CE5: To be able to validate and interpret the results, comparing them with visualizations, experimental measurements, and functional requirements of the physical engineering system.
Numerical specialization:
CS1: To know, be able to select or use how to handle most suitable professional software tools (both commercial and free) for the simulation of processes in the industrial and business sector.
CS2: To adapt, modify and implement software tools for numerical simulation.
The lessons will be given at the computer lab and will be treated as computer practices and seminars. The exercises to be carried out by the students as well as the theoretical contents of the course will be described in some notes provided by the teachers.
First opportunity
-----------------
The evaluation of the students will be based on the monitoring of the practical sessions and the submission of the exercises proposed in the different blocks. These exercises will have to be defended individually on the official date set for the evaluation of the subject and this defence will be an essential requirement for passing the course.
In the exercises proposed, the student will be presented with a problem to be solved numerically using the software tools presented in the subject. To do this, he/she will have to determine the mathematical model to be used and explain the reasons for this choice. In addition, he/she will have to develop the equations of the chosen model, indicating the unknowns that will be used in its numerical approximation. All this will validate the competences CG1, CE4 and CS1. Then, the problem will be solved numerically using the commercial packages explained in the course and a critical report of the results obtained in the different questions formulated will be prepared and later defended. All this will allow, in addition to the evaluation of their knowledge, to assess the degree of development achieved in the competences CG4, CE5 and CS2.
The final numerical qualification will be computed taking into account that the part corresponding to FEKO® will represent 1/3 and the part of Flux2D® will represent 2/3 of the total mark. More precisely, we define:
M = 1/3* CAL_FEKO + 2/3* CAL_Flux2D
where
CAL_ FEKO: Numerical qualification obtained in the FEKO part,
CAL_FLUX2D: Numerical qualification obtained in the FLUX2D® part.
To pass the course the student should obtain at least 4 points over 10 in each part.
The official qualification to appear in the student’s achievement record will depend on whether the minimum of 4 points required in each part is exceeded or not. Thus,
Official qualification = M, if the minimum of each part is achieved
Official qualification = min(M, 4), on the contrary.
Second opportunity
---------------------
There will be a theoretical-practical examination covering the content of each part of the course.
The final numerical grade will be calculated using the same proportions and criteria as at the first opportunity. More precisely, we define:
M = 1/3* CAL_FEKO + 2/3* CAL_Flux2D
where
CAL_ FEKO: Numerical qualification obtained in the FEKO part,
CAL_FLUX2D: Numerical qualification obtained in the FLUX2D® part.
To pass the course the student should obtain at least 4 points over 10 in each part.
The official qualification to appear in the student’s achievement record will depend on whether the minimum of 4 points required in each part is exceeded or not. Thus,
Official qualification = M, if the minimum of each part is achieved
Official qualification = min(M, 4), on the contrary.
Students who repeat the course will be evaluated with the same system.
For fraudulent cases we will apply what is collected in the "Norm of evaluation of the academic performance for students and revision of qualifications".
Attending hours, (Factor) , Personal homework hours, Total
Theory: 12 , (1,5), 18, 30
Laboratory: 30, (2,5), 75, 105
Exam: 3, (4), 12, 15
Total: 45, 105, 150
- It is recommended having studied the subject "Modelos Matematicos en electromagnetismo".
- To study the notes distributed by the teacher and active participation in the practical sessions.
- The attendance at the practical classes is strongly recommended.
In all the assessment opportunities, and for cases of fraudulent performance of exercises or tests, the provisions of the Regulations on the evaluation of students' academic performance and revision of grades shall apply
Maria Dolores Gomez Pedreira
- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813186
- mdolores.gomez [at] usc.es
- Category
- Professor: University Lecturer
Maria Del Pilar Salgado Rodriguez
Coordinador/a- Department
- Applied Mathematics
- Area
- Applied Mathematics
- Phone
- 881813198
- mpilar.salgado [at] usc.es
- Category
- Professor: University Lecturer
| Monday | |||
|---|---|---|---|
| 16:00-19:00 | Grupo /CLE_01 | Galician, Spanish | Computer room 5 |
| Wednesday | |||
| 11:00-14:00 | Grupo /CLE_01 | Galician, Spanish | Computer room 5 |