SSY200 – Computational Electromagnetics
The course "SSY200 -- Computational electromagnetics" given during study period 3, 2023 (7,5hp).
The course is given by the Department of Electrical engineering.
(The course syllabus will be updated with clarifications and corrections as needed during the course.)
Thomas Rylander is lecturer, seminar leader and examiner
tel: 031 - 772 1735
(room 7407 in the EDIT-building)
August Ekman is teaching assistant
Department of Electrical engineering
Chalmers University of Technology
412 96 Göteborg
Numerical solution of Maxwell’s equations plays an increasingly important role in modern electrical engineering. Improvements, both in computer technology and numerical algorithms, make it possible to solve many electromagnetics design problems by computations, rather than the traditional way by building and testing proto- types. This holds in as diverse areas as eddy current calculations for generators, electrical machines and transformers, microwave circuits and antennas, optical components, radar scattering and electromagnetic compatibility.
The course introduces the main methods in Computational Electromagnetics: Finite Differences, Finite Elements and the Method of Moments and applies them to model problems. Applications from different areas of electromag- netics are used to illustrate the strengths and weaknesses of the methods. The course aims at enabling the student to choose appropriate methods for realistic electromagnetics problems.
T. Rylander, A. Bondeson and P. Ingelström, Computational Electromagnetics (2nd edition), New York: Springer, 2013. (ISBN 978-1-4614-5350-5)
The course features lectures, seminars and computer labs. The course is centered around four hand-in problems that cover large parts of the course contents, which makes the course work rather practical. The lectures, seminars and computer labs are oriented towards hand-in problems (MATLAB) dealing with application problems.
- Lectures and seminars: The lectures present the theoretical foundation in computational electromagnetics. During the seminars, we discuss the hand-in problems and their relation to the relevant theory described in the text book. The students are expected to read the book as well, which is necessary for the optional examination that is required for a higher grade 4 or 5.
- Computer labs: The computer labs allow the students to ask detailed questions on the hand-in assignments and their computer implementations. Also, the students can work on the hand-in assignments during the computer labs. It should be noted that the hand-in problems require additional time and work, which must take place outside the activities scheduled in the course. Thus, it is useful for each student to compile a list of questions and bring it to the next computer lab.
- Feedback: Feedback is offered mainly during the computer labs and through Canvas.
- Canvas: Course syllabus, complementary material, announcements, hand-in problem formulations, submission of hand-in problems, booking of oral examination, discussion forum, etc.
- YouTube: Prerecorded lectures on the basic electromagnetic field theory.
- Email: Administrative questions, official communication, etc.
Formulate and implement a basic computational algorithm in electromagnetics based on (i) the finite-difference scheme, (ii) the finite-element method and (iii) the boundary-element method.
Perform basic assessment of the numerical error.
Distinguish between different sources that contribute to the numerical error.
Use basic extrapolation techniques.
Choose between time, frequency or eigenvalue analysis for a given electromagnetic problem.
Choose appropriate numerical techniques for a given application.
Choose appropriate post-processing tools for a given application.
Operate commercial software in an well-informed manner.
Evaluate the computational resources required to analyze a given industrial problem.
The examination is individual and it consists of (i) four hand-in assignments with an oral presentation for each assignment and (ii) one final oral examination.
The grades for undergraduate students are distributed according to:
Grade 3: Accepted compulsory hand-in assignments with oral presentations; and accepted final oral examination.
Grade 4: Fulfillment of requirements for Grade 3 and, in addition, a total of 51-80 credit points collected during the course, see information below.
- Grade 5: Fulfillment of requirements for Grade 3 and, in addition, a total of 81-100 credit points collected during the course, see information below.
Graduate students need 51-100 credit points to pass the course, in addition to (i) accepted compulsory hand-in assignments with oral presentations and (ii) accepted oral examination.
Hand-in assignments: The individual hand-in assignments consist of (i) compulsory tasks and (ii) additional tasks that are rewarded by credit points if correctly solved. The individual hand-in assignments are submitted in terms of a written report, where a first submission allows for revision before the second and final submission. Correctly solved additional tasks in the hand-in assignments yield credit points according to the instructions in the hand-in assignments. The maximum number of credit points that can be collected from the hand-in assignments is 60.
|Hand-in assignment||First submission||Feedback||Second submission|
|Finite-differences in frequency domain||2024-01-30||2024-02-06||2024-02-13|
|Finite-differences time-domain scheme||2024-02-06||2024-02-13||2024-02-20|
|Finite element method||2024-02-20||2024-02-27||2024-03-05|
|Method of Moments||2024-02-27||2024-03-05||2024-03-12|
Final oral examination: Each student is assessed on an individual basis during the oral examination. No aids are allowed during the oral examination. The oral examination consists of (i) two compulsory questions and (ii) four additional questions that are rewarded by maximum 10 credit points each if correctly solved. The two compulsory questions relate to the theory needed to solve the compulsory tasks in the hand-in assignments. The four additional questions (that give credit points if correctly solved) relate to the material in the text book, which may not have been covered by the hand-in assignments. The student is given the six questions at the very beginning of the oral exam and maximum 30 minutes to prepare the answers, where the student may use pen and paper to document the answers complemented by derivations, figures, etc. The student is then given maximum 20 minutes to present the answers to the prepared questions, where the compulsory questions must be correctly answered before the optional questions are answered.
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