NUMERICAL METHODS IN ELECTROMAGNETISM
Stampa
Enrollment year
2021/2022
Academic year
2021/2022
Regulations
DM270
Academic discipline
ING-IND/31 (ELECTROTECHNICS)
Department
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
Course
Curriculum
PERCORSO COMUNE
Year of study
Period
1st semester (27/09/2021 - 21/01/2022)
ECTS
6
Lesson hours
45 lesson hours
Language
English
Activity type
WRITTEN AND ORAL TEST
Teacher
DI BARBA PAOLO (titolare) - 6 ECTS
Prerequisites
Base knowledge of electric and magnetic field in low frequency, elementary vector analysis and operators as curl, divergence and gradient.
In particular, the knowledge of vector operators for field analisys is needed.
Learning outcomes
Advanced knowledge of electric, magnetic and electromagnetic fields. Base knowledge of commercial codes for finite element simulations.
Course contents
Vector fields
Basic operators and equations, electrostatic field, magnetostatic field, steady conduction field.

Analytical methods for solving boundary-value problems
Method of Green's function. Method of images. Method of separation of variables.

Numerical methods for solving boundary-value problems
Variational formulation in two-dimensional magnetostatics. Finite elements for two-dimensional magnetostatics. Finite elements for three-dimensional magnetostatics.

Time-varying electromagnetic field
Maxwell's equation in differential form. Poynting's vector. Maxwell's equations in the frequency domain. Plane waves in an infinite domain. Wave and diffusion equations in terms of vectors E and H.Wave and diffusion equations in terms of scalar and vector potentials. Electromagnetic field radiated by an oscillating dipole. Diffusione equation in terms of dual potentials. Weak eddy current in a conducting plane under AC conditions. Strong eddy current in a conducting plane under AC conditions. Eddy current in a cylindrical conductor under step excitation current. Electromagnetic field equations in different reference frames (a relativistic example and Galileian and Lorentzian transformations).

Computer aided design
Introduction to computer aided design by means of commercial software e.g. Magnet by Infolytica or Comsol Multiphysics. Finite element analysis of a simple case study.
Teaching methods
The lectures are held with the help of blackboard and slide based presentations.
Finite element codes and Matlab programming are also used. These codes are made available to students.
Reccomended or required readings
P. Di Barba, A. Savini, S. Wiak. Field models in electricity and magnetism. Springer, 2008.
Assessment methods
The final examination consists of developing a finite element simulation. The progress of the work is discussed with the teacher.
Further information
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Sustainable development goals - Agenda 2030