ELEC 0041: Modeling and design of electromagnetic systems - Spring 2019


Tue 05/02Review of electromagnetism: Maxwell equations, fields and related global quantities (charge, voltage, current, magnetic flux), material relations, boundary conditions, interface conditions. Electrostatic, electrokinetic, magnetostatic, magnetodynamic and full wave models. Introduction to Gmsh (building of geometries and meshes at progressive levels of complexity). (Slides)
Tue 12/02Overview of numerical electromagnetic modelling methods: computational electromagnetics. Introduction to GetDP (elementary notions). First practical example on electrostatics using the electric scalar potential. (Slides)
Tue 19/02Finite element formulation of electrostatic models, interpolation of scalar fields (degrees of freedom, basis functions), boundary conditions. Hands-on construction of .pro file for electrostatic problems. (Homework assignement 1)
Tue 26/02Class time for homework 1.
Tue 05/03No class (mardi gras)
Tue 12/03Global quantities for Electrostatics (charge and floating potential) and Electrokinetics (voltage and current). Example for electrostatics. Hands-on construction of .pro files for 2D electrokinetics. Feedback on homework 1.
Tue 19/03Introduction to magnetostatics: scalar and vector magnetic potentials; infinite shell transformation. (Homework assignement 2)
Tue 26/03Magnetodynamics: time-dependent and time-harmonic formulations; global quantities (currents and voltages). Examples for magnetodynamics.
Tue 02/04Circuit coupling: the transformer. Feedback on homework 2.
Tue 09/04No class (Easter)
Tue 16/04No class (Easter)
Tue 23/04Nonlinear problems: Newton-Raphson and Picard iterations. Example for a nonlinear magnetic constitutive law in magnetostatics and magnetodynamics. (Homework assignement 3)
Tue 30/04Class time for homework 3.
Tue 07/05Going further: three-dimensional problems, complementary formulations, edge elements, formulations for wave propagation (Slides)
Tue 14/05Going further: rigid body forces using the Maxwell stress tensor, elasticity, thermics

Useful links