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First Semester 
Teaching style
Lingua Insegnamento

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[70/84]  ENERGETIC ENGINEERING [84/00 - Ord. 2018]  PERCORSO COMUNE 6 60


the student has to:
-acquire knowledge and understanding of the electromagnetic field theories and models. It has to be able in using an applicative software of Finite Element method (FEM), by means of which apply theory and models, to estimate the fields distribution and check their effects. (knowledge, applying knowledge and understanding)
-gain the ability to correctly interpret the results obtained with the software based on Finite Element method, make independent decisions and discuss problems and solutions. (judgments-making)
-acquire the ability to communicate through oral discussions. (communication skills)
-acquire communication skills, learn technical language and English terms. Acquire the ability in understanding the texts of relevant scientific and technical literature (learning skills)


Mathematical Analysis 1, Mathematical Analysis 2, Geometry and Algebra, Physics 1, Physics 2, and Electrotechnics


Part I - Plasmas Engineering Applications (6 ECTS)
-Quasi steady-state Electromagnetism Theory. Lumped systems models. Maxwell equations in differential and integral form. Formulation of Maxwell's equations in terms of electric scalar potential, magnetic scalar potential, magnetic vector potential. Boundary conditions. Analytical and numerical solutions of electromagnetic models and their application. General procedures for the calculation of resistances, capacitances and inductances.
Magnetic Circuits. Ampere’s Law applied to a magnetic circuit. Analogy between electrical and magnetic circuits. Magnetic properties of materials and hysteresis.
Time-varying fields. Faraday’s low of electromagnetic induction. Maxwell Equations, integral and differential form. Wave equations for Potentials and their solutions. Poynting vector and theorem. (27 hours of lectures + 16 hours of practices).
Numerical techniques in electromagnetism. Boundary value problems. Finite Element Method. Use of finite element codes. Variational method. (3 hours of lectures)
-Magnetohydrodynamics (MHD). Introduction. Low temperature plasmas; Fundamental equations; Characteristic numbers: Kinetic and magnetic Reynolds number, Hartmann’s number, interaction parameter. Dynamo effect. Power. Energy conversion processes using plasmas. MHD Pumping and propulsion. (8 hours of lectures + 2 hours of practices)
-Controlled thermonuclear fusion. Techniques for plasma confinement. Magnetic confinement reactors. Tokamak: configuration, heating systems, balance and stability. Disruptions. The Stellarator. The state of the art of nuclear fusion reactor research: open issues. (4 hours of lectures)

Part II - Electromagnetism applied to the solid state (3 ECTS)
-Magnetohydrodynamics for processes. Classification of problems of Magnetohydrodynamics. Applications. Hartmann's flow; spinning flow of the plasma; MHD turbulence; Industrial process applications: Crystal growth, Electrolyte cells, Heat exchangers in fusion and fission nuclear reactors. (8 hours of lectures + 2 hours of practices)
-Time-Harmonic field. Helmholtz equations and their solution in lossless media in source-free regions. Intrinsic impedance and loss angle. Plane electromagnetic waves in lossless media. Basic wave types: TEM, TM, TE. Transverse electromagnetic waves. Doppler effect. Polarization of plane waves. Linear, circular and elliptical polarization. Plane waves in lossy media, low-loss dielectric good conductors and ionized gas. Skin depth or penetration depth of plane electromagnetic waves in a conductor. Instantaneous and averaged power density. (15 hours of lectures)
-Transmission lines. Radiation field of elemental dipole. Waveguides. General equations of transmission lines. Characteristic impedance of the line. Impedance adaptation of transmission lines. (5 hours of lectures)

Teaching Methods

The course consists of: 70 hours of lectures and 20 hours of practices

-Teaching methods: lectures supported by the teacher slides provided at the beginning of the course. To face specific educational needs related to the epidemiological situation, live streaming lessons or recordings of the same may be provided.
-Practices consist in modelling of electromagnetic systems by means of a FEM software. They are carried out in the computer lab, but to face specific educational needs related to the epidemiological situation, shifts o remote interactions may be organized.
-Teaching tools: computers for simulations in the computer lab.

Verification of learning

The assessment method consists of two parts: theoretical and practical tests. Through the theoretical test the student has to demonstrate the acquired knowledge of the Electromagnetism theory and to be able to interpret the analytical models expressed with the integral-differential equations, to know the purpose of the study of the specific topics. With the practical test the student has to demonstrate its ability in problem solving by applying the techniques for the modelling and the analysis of electromagnetic systems acquired during the practices.
Both in practical and theory tests an appropriate technical language is required. A good ability in performing autonomous and critical analysis have to be shown. Also, mastery and knowledge of prerequisites have to be demonstrated. During the practical test, the student has to properly discuss and compare the results obtained with the analytical methods and those obtained by FEM method.
The score of the exam is given by an average of the results obtained in all tests.


1) David K. Cheng, Field and Wave Electromagnetics, Addison Wesley Publishing Company
2)F. Barozzi, F. Gasparini, Fondamenti di Elettrotecnica: Elettromagnetismo, UTET
3) C. G. Someda, Onde Elettromagnetiche, UTET
4) M. Guarnieri, Gaetano Malesani, Campi Elettromagnetici, Edizione Libraria Progetto Padova
5) M. V. Chiari & P. P. Silvester, Finite Elements in Electrical and Magnetic field problems, John Wiley & Sons (2955 EG)
6) John Wesson, Tokamaks, Clarendon press Oxford 2004
7) R. Moreau,Magnetohydrodynamics, Kluwer Academics Publishers
8) Roland Berton, Magnetohydrodinamique, Masson , Paris
9) Hugo k. Messerle, Magneto-Hydro-Dinamic Electrical Power Generation, John Wiley &Sons

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