CODE 101702 ACADEMIC YEAR 2023/2024 CREDITS 5 cfu anno 2 INGEGNERIA ELETTRICA 8731 (LM-28) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR ING-IND/31 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER Annual MODULES Questo insegnamento è un modulo di: NUMERICAL METHODS AND OPTIMIZATION TECHNIQUES FOR POWER ELECTRICAL ENGINEERING TEACHING MATERIALS AULAWEB OVERVIEW Module of basic numerical methods, numerical techniques for the solution of field problems, and optimization techniques for applications to the design of electromagnetic devices and systems. AIMS AND CONTENT LEARNING OUTCOMES The module describes the main algorithms used for the numerical modeling of electromagnetic devices (interpolation, root search, derivation, integration, solution of linear equation systems), describes the basis of numerical solution of field problems (described by PDE) using the Finite Element Method, and gives an introduction to the techniques for the automatic design and operational optimization of industrial devices. AIMS AND LEARNING OUTCOMES At the end of the module, 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) in the first semester, and further exercises developed autonomously by Students out of lecture hours, using free software in the second semester, (1 credit, second semester), for a total of 5 credits SYLLABUS/CONTENT 1) Introductions on 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 Problem (P.D.E.) The Finite Element Method (FEM) Two dimensional formulation 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 stocastic hybrid ones RECOMMENDED READING/BIBLIOGRAPHY M. Nervi: “Dispense del corso” Further Bibliography (for OPTIONAL study deepening on specific subjects): 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. TEACHERS AND EXAM BOARD MARIO NERVI Ricevimento: Students that need further clarifications will be received on appointment (tel: 010 335 2044, e-mail: mario.nervi@unige.it), both using remote (via Microsoft Teams) as well as face-to-face meetings. Exam Board MARIO NERVI (President) MASSIMO BRIGNONE FABIO D'AGOSTINO PAOLA GIRDINIO DANIELE MESTRINER PAOLO MOLFINO GIORGIO MOLINARI GABRIELE MOSAICO MANSUETO ROSSI MATTEO SAVIOZZI (President Substitute) EUGENIA TORELLO (President Substitute) LESSONS LESSONS START https://corsi.unige.it/8731/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The examination of Numerical Methods and Optimization for Electromagnetic Systems is based on an oral discussion, lasting about 30 minutes, normally about the solution of practical problems, and optional questions about the related theory. The final marking of Numerical Methods and Optimization for Electrical Engineering is the average of the marks (rounded to the higher integer figure) of its modules (Numerical Methods and Optimization for Electromagnetic Systems and Optimization Techniques for Power Electric Systems). ASSESSMENT METHODS In the oral exams are assessed both the correct understanding of theory, and the ability to apply the theory to the solution of applicative problems. Exam schedule Data appello Orario Luogo Degree type Note 16/01/2024 09:30 GENOVA Orale B4 13/02/2024 09:30 GENOVA Orale B4 28/05/2024 09:30 GENOVA Orale B4 11/06/2024 09:30 GENOVA Orale B4 02/07/2024 09:30 GENOVA Orale B4 16/07/2024 09:30 GENOVA Orale B4 10/09/2024 09:30 GENOVA Orale B4 Agenda 2030 - Sustainable Development Goals Quality education