Advanced knowledge of electric, magnetic and electromagnetic fields. Base knowledge of commercial codes for finite element simulations. Knowledge of inverse problems and optimization methods. Knowledge of technical European norms about environmental electromagnetic compatibility.
Course 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.
Teaching Methods
The lectures are held with the help of blackboard and slide based presentations. For the CAD module, Finite element codes and Matlab programming are also used. These codes are made available to students. For the Laboratory module measurements of electric and magnetic fields are done close to field sources.
Assessment Methods
For the Optimal Design in Electromagnetism module, the final examination consists of a written test (questions on theory). For the Electromagnetic Environmental Compatibility module, the final examination consists of a written test (questions on theory).
Texts
For the CAD module: P. Di Barba, A. Savini, S. Wiak. Field models in electricity and magnetism. Springer, 2008.
For the Laboratory module, slides shown during the lessons.
Contents
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.
Inverse problems Direct and inverse problems. Well-posed and ill-posed problems. Fredholm's integral equation of the first kind. Under- and over-determined systems of equations. Least-squares solution. Classification of inverse problems.
Optimization Solutions of inverse problems by the minimization of a functional. Constrained optimization. Multiobjective optimization. Gradient-free and gradient-based methods. Deterministic vs non-deterministic search. Numerical case studies.
Industrial electromagnetic compatibility Field in low and high frequency, wave propagation, reflection and refraction. Near- and far-field. Biological effects of electromagnetic field. ICNIRP, Italian and European laws. Sources in low and high frequency. Antennas: properties (gain, directivity and polarization), kind of antennas, signal modulation. Theory of measurements of electric, magnetic and electromagnetic fields. Instruments for field measurements. Measurements of electromagnetic field radiated by microwave antennas and devices, radiofrequency antennas and fields produced by electric-power transmission plants.