OVERVIEW

Teaching of basic numerical methods, numerical techniques for the solution of low frequency electromagnetic field problems, and optimization techniques for the design of electromagnetic devices and systems.

AIMS AND CONTENT

LEARNING OUTCOMES

The teaching describes the main algorithms used for the numerical modeling of industrial devices (interpolation, root search, derivation, integration, solution of linear equation systems), the methods used for the numerical solution of static/quasi-static electromagnetic field problems (described by PDE), and provides an introduction to the techniques for the automatic design and operational optimization of industrial devices.

AIMS AND LEARNING OUTCOMES

At the end of the teaching, the Student shall have correctly understood the basic concepts enabling him/her to correctly choose from numerical libraries the most suitable algorithm to solve the problems of interest, shall be able to correctly solve, using the Finite Element Method, problems of quasi-stationary Electromagnetic Fields, and to correctly design a numerical optimization procedure, choosing the right optimization method.

TEACHING METHODS

Theoretical lectures and related exercises (4 credits) and exercises developed autonomously by Students using free software (2 credits), for a total of 6 credits.

Students with valid certifications for Specific Learning Disorders (SLDs), disabilities or other educational needs are invited to contact the teacher and the School's contact person for disability at the beginning of teaching to agree on possible teaching arrangements that, while respecting the teaching objectives, take into account individual learning patterns. Contacts of the School's disability contact person can be found at the following link Comitato di Ateneo per l’inclusione delle studentesse e degli studenti con disabilità o con DSA | UniGe | Università di Genova

SYLLABUS/CONTENT

1) Introduction to Numerical Methods and main Numerical Methods

• Root Search
• Interpolation
• Numerical Derivation and Integration
• Solution of Ordinary Differential Equations (O.D.E.)
• Solution of linear systems of algebraic equations

2) Numerical Solution of Field Problems (P.D.E.)

• The Finite Element Method (FEM)
• Two-dimensional formulations in scalar and vector potential
• Static Two-Dimensional Problems, with translation and rotation symmetry
• Linear and non-linear Problems
• Quasi-stationary Problems
• Coupled Problems
• Main Three-Dimensional Formulations
• Brief introduction to other differential and integral methods
• The Finite Difference Method
• The Boundary Element Method (BEM)
• The Boundary Integral Method (BIM)

3) Optimization techniques:

• Deterministic,
• Stochastic,
• Hybrid ones

RECOMMENDED READING/BIBLIOGRAPHY

• M. Nervi: “Lecture notes”

For further theoretical study:

• F. Scheid: “Analisi numerica” – collana SCHAUM, ETAS libri, 1975
• K. Atkinson: “An Introduction to Numerical Analysis”, 2nd ed., John Wiley & Sons, 1989
• K. Atkinson: http://www.math.uiowa.edu/~atkinson/ina_sem1.html
• K. Atkinson: http://www.math.uiowa.edu/~atkinson/ina_sem2.html
• W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery: “Numerical Recipes: The Art of Scientific Computing”, 3rd Edition, Cambridge University Press, 2007, http://numerical.recipes/
• O. C. Zienkiewicz, R. Taylor, J. Z. Zhu: “The Finite Element Method: Its Basis and Fundamentals”, Elsevier Science, 2005.
• P. P. Silvester, R. L. Ferrari: “Finite Elements for Electrical Engineers”, 3^ edn., Cambridge University Press, 1996.
• J. Jin: “The finite Element Method in Electromagnetics”, 3^ edn., John Wiley & Sons, 2014.
• G. Carey, J. T. Oden: “Finite Elements”, Vol. I-V, Prentice Hall, 1981.
• K. J. Binns, P. J. Lawrenson, C. W. Trowbridge: “The Analytical and Numerical Solution of Electric and Magnetic Fields”, John Wiley & Sons, 1994.

Software repositories:

• FEMM: http://www.femm.info/wiki/HomePage
• gmsh: http://onelab.info/
• GetDP: http://getdp.info/
• VisIt: https://sd.llnl.gov/simulation/computer-codes/visit
• ParaView: https://www.paraview.org/
• Pyleecan: https://www.pyleecan.org/

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

https://corsi.unige.it/corsi/11955/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The examination of Numerical Methods Techniques for Electromagnetic Analysis is based on an oral discussion, lasting about 30 minutes, normally about the solution of practical problems, and questions about the related theory.

ASSESSMENT METHODS

In the oral exam are assessed both the correct understanding of theory, and the ability to apply the theory to the solution of applicative problems.

FURTHER INFORMATION

Ask the Professor for other information not included in the teaching schedule.