


Politecnico di Torino  
Academic Year 2015/16  
01NKUNC Applied electromagnetics 

Master of sciencelevel of the Bologna process in Electrical Engineering  Torino 





Subject fundamentals
Electromagnetic fields are studied under stationary, quasi stationary and varying conditions including propagation phenomena; antenna are also introduced.
Compatibility problems are considered and possible interference phenomena are analysed giving the main principles of their limitation and shielding at low and high frequency. Electric line theory is also described under transient and sinusoidal conditions. The basic principles of solution of field equations will be treated making particular reference to variable separation and the finite element method in 1, 2 and 3 dimensions. The students are expected to gain: 1. ability to apply methods of analysis concerning electromagnetic devices with lumped or distributed parameters; 2. knowledge of the solutions in simple cases, to be used as references for more complex cases needing a numerical approach; 3. ability of interpreting technical documents in Italian or English language. 
Expected learning outcomes
The expected results of the course are that the students gain advanced knowledge and understanding skills concerning:
 the mathematical formulation of problems referring to stationary or quasistationary fields;  the handling of magnetic circuits and coupled electric circuits;  he modelling of electrical lines in transient conditions and in sinusoidal regime;  basic concepts of electromagnetic compatibility;  numerical methods to apply the electromagnetism principles to electrical components and systems. 
Prerequisites / Assumed knowledge
Electric circuit theory, Complex analysis.

Contents
Introduction to scalar and vector fields, simple and multiple domain connection. Differential operators of 1° and 2° order. Differential and integral formulation. Faraday law without and with moving parts. Poynting vector. Eddy current problems. Electric lines: equations under transient conditions (lossless lines, Heaviside condition) transient simulations initial and boundary conditions. Sinusoidal steady state line behaviour: two conductor and multiconductor case, modal analysis. Electromagnetic fields in homogeneous media, scalar and vector potentials, Lorentz gauge, non homogeneous wave equations. Boundary conditions. Delayed potentials under Sinusoidal conditions. Plane waves in media without and with losses. Wave propagation and polarization. Elementary antennas: Hertzian and magnetic dipoles, linear antenna: near and far fields approximations. Introduction to electromagnetic compatibility. Radiated and conducted emissions. Immunity and susceptivity. Procedure to reduce conducted disturbances via filtering and lock inductances. Bifilar lines: radiated emissions and susceptivity models. Introduction to diaphony: steady state model trough line model; short, lossless and weak coupling simplified model. Use of sheaths. Shielding of plane waves orthogonal to the shield plane. Shielding of environmental fields at low frequency (field deviation and eddy current effect).Introduction to the solution of differential equations of electromagnetic fields. Analytical procedure based on variable separation. Numerical approach by means of finite element method: weak formulation and numerical problem in 1, 2 and 3 dimensional problems in the case of non homogenous magnetic structure: linear and non linear media.

Delivery modes
In addition to lectures, the course programme includes exercise sessions with problem solutions, visit to the compatibility laboratory with some practical tests, presentation of the simulation of numerical computations of electromagnetic field.

Texts, readings, handouts and other learning resources
M. D'Amore, "Compatibilità Elettromagnetica", edizioni scientifiche SIDEREA, Roma, 2003. (in Italian)
C. R. Paul, "Compatibilità Elettromagnetica", editore HOEPLI, Milano, 1999. (in Italian) C.R. Paul, K. W. Whites, S.A. Nasar, "Introduction to Electromagnetic Fields", Mc GrawHill, 2000. D. K. Cheng, " Field and Waves Electromagnetics", AddisonWesley publishing Company, 1996. C. A. Paul, " Introduction to Electromagnetic Compatibility" John Wiley and Sons, 2006. D. K. Cheng, " Field and Waves Electromagnetics", AddisonWesley publishing Company, 1996. M. D'Amore, "Elementi di Elettrotecnica: Campi e Circuiti", edizioni scientifiche SIDEREA, Roma, 1995. (in Italian) A. Canova, G. Gruosso, M. Tartaglia, "Esercitazioni di Elettrotecnica: Linee e campi", Levrotto & Bella, Torino, 2003. (in Italian) 
Assessment and grading criteria
The exam is composed of written and oral tests.
The writtten test consists of the solution of two exercises and is not organized in the form of test with multiple choices, but the students have to respond to the questions through calculations and related explanations. During the written test it is possible to use the course material, but it is not possible to use a personal computer (only pocket calculators are admitted). The oral test includes generally two questions on theoretical aspects that may require the proof of the concepts addressed. 
