Politecnico di Torino
Politecnico di Torino
Politecnico di Torino
Academic Year 2015/16
Computer aided design of electromagnetic devices
Master of science-level of the Bologna process in Electrical Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
SSD CFU Activities Area context
ING-IND/31 8 D - A scelta dello studente A scelta dello studente
Subject fundamentals
The course aims at introducing the student to the main numerical analysis methods and tools commonly used in electrical engineering. Firstly, the theoretical bases of the methods used are outlined and then several problems coming from the application fields are analysed and solved. Laboratory exercises will be performed using computational procedures actually used in electrical engineering design activity.
Expected learning outcomes
At the end of the course students will have the ability to analyse an electromagnetic problem with standard characteristics and define which is the most proper numerical tool to be used, analyse it by means of it and then evaluate in a critical way the obtained results.
Prerequisites / Assumed knowledge
Most of the concepts used in numerical analysis will be introduced throughout the course, anyway the basic knowledge about electromagnetic fields and about their working regimes are given as already known.
Introduction to electromagnetic problems and their ranking in terms of difficulty, lumped parameters models, one - two - three dimensional problems, subdivision of the analysis process in sub-phases (discretization, solution, post-processing of results). (4 hours)
Introduction to numerical methods for the discretization of the continuous problem and its computer aided solution: outline of variational methods (finite element method), algebraic methods (cell method), integral methods and hybrid methods. Introduction of the main commercial codes that will be used in the informatics laboratory (Matlab, FEMM, CST etc.). (16 hours)
One-dimensional problems: multi-conductor transmission lines, analysis of faults, direct lightning, nonlinear phenomena (surge protection devices, flash-over, ground ionization), solution examples. (8 hours)
Electrostatic field analysis, capacitance computation in two-dimensional problems, comparison with image method, sharp tips in three-dimensional problems. (4 hours)
Current field analysis, ground resistance computation, interaction between ground condutors, outline of ground ionization phenomenon. (6 hours)
Magnetostatic analysis, inductance computation, magnetic circuits with currents and permanent magnets, evaluation of three-dimensional effects on dispersed inductance, nonlinearity and saturation, force computation, use of ferromagnetic materials in magnetic shielding. (8 hours)
Magneto quasi-static field analysis: eddy currents, losses, outline of induction heating, use of conductive mateirals in magnetic field shielding. (10 hours)
Multi-physics problems: electromagnetic and thermal coupling, electromagnetic and elastostatic coupling. (4 hours)
Delivery modes
In addition to lectures, the students will take part in five informatics laboratory exercises about the topics taught in classroom:
One-dimensional problems: study of a power transmission line under a lightning direct hit;
Electrostatic analysis: capacitance computation in complex geometrical structures, capacitive divider;
Current field analysis: ground resistance evaluation;
Magnetostatic analysis: nonlinearity effects on a magnetic circuit of an electrical machine and evaluation of three-dimensional effects;
Magneto quasi-static analysis: eddy currents in ferromagnetic materials, shielding by means of conductive materials.
Texts, readings, handouts and other learning resources
Material relevant to the course (slides) will be available to students through the course web site.

Reference books
- Silvester P.P., Ferrari R.L. "Finite elements for electrical engineers" Cambridge University press, 1996
- Lowther, D.A., Silvester P.P. "Computer- aided design in magnetics" Springer- Verlag, copyr. 1986
- Zienkiewicz, O.C., Taylor, R.L. "The finite element method for solid and structural mechanics" Elsevier, 2005
- Tonti E., Nuzzo E. "Gradiente, rotore, divergenza" Pitagora, 2007
- Tonti, E., "The Mathematical Structure of Classical and Relativistic Physics, A General Classification Diagram", Springer Series: Modeling and Simulation in Science, Engineering and Technology (2013)
- P. Alotto, F. Freschi, M. Repetto C. Rosso, "The Cell Method for Electrical Engineering and Multiphysics Problems: An Introduction" - Springer-verlag Berlin And Heidelberg Gmbh & Co. - January 2013
Assessment and grading criteria
Passing the exam involves:
Preparation of a report for each of the five practical exercises assigned during the course. The activity at the computer will be performed by groups and each group will have to carry out a different task. The report will be prepared jointly by the group. The evaluation of the result produced will be collective and will be made after a oral discussion (max 20/30).
Report on a research topic, developed starting from a scientific paper of broad content proposed by the teacher, and orally discussed. The scoring of this part will be individual (max 10/30).

Programma definitivo per l'A.A.2015/16

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