Methods of EMC Analysis
FEKT-MPC-EMCAcad. year: 2021/2022
Students will be introduced to (a) the mathematical representation of causal, EMC related signals with an emphasis on applications of the Laplace transform; (b) the modeling of electromagnetic (EM) interference of Kirchhoff circuits and transmission lines; (c) the EM emission analysis; (d) the disturbing EM susceptibility analysis.
Learning outcomes of the course unit
After successfully passing the course, a student understands basic concepts of EMC with an emphasis on their underlying physics and mathematical description. Furthermore, the student is able to (a) apply the Laplace transform to the analysis of causal signals; (b) derive the shielding efficiency of planar shields; (c) derive the characteristic impedance of simple transmission lines; (d) derive integral equations for EM scattering analysis; (e) describe EM radiation from fundamental antennas; (f) apply the Lorentz reciprocity theorem to systems EM susceptibility analysis.
Recommended optional programme components
Recommended or required reading
ŠTUMPF, M. Integrální formulace problémů elektromagnetického pole a jejich aplikace. Litera Brno, Tábor 43a, 612 00 Brno: VUT v Brně, Ústav radioelektroniky, 2014. s. 1-84. ISBN: 978-80-214-4869- 8. (CS)
TESCHE, F. M., M. IANOZ a T. KARLSSON. EMC Analysis Methods and Computational Models. New York: John Wiley & Sons, 1997. ISBN 978-0-471-15573-7. (EN)
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
1. Introduction to electromagnetic compatibility (EMC); EMC terminology.
2. Selected parts of vector calculus; integral theorems of mathematical analysis.
3. Sected parts of EM field theory.
4. Signal analysis with an emphasis on properties and applications of the Laplace transform.
5. EMC testing signals; spectral (Bode's) diagrams and spectral bounds.
6. Shielding efficiency of a conductive planar sheet.
7. Transmission line theory; time-domain description; calculation of the characteristic impedance.
8. EM field integral representations.
9. Integral formulations for EM scattering analysis.
10. EM emission from radiating systems.
11. Lorentz's reciprocity theorems; interaction with Kirchhoff's systems.
12. EM susceptibility of Kirchhoff's systems.
13. EM susceptibility analysis of a transmission line over a conductive ground.
The goal of the course is to get students acquainted with the basic principles of electromagnetic compatibility with an emphasis on the mathematical modeling of electromagnetic interference.
Classification of course in study plans
- Programme MPC-EKT Master's, 2. year of study, winter semester, 5 credits, compulsory-optional