ELEC 0041: Modeling and design of electromagnetic systems - Spring 2017

Schedule

Tue 07/02Introduction to computational electromagnetics. 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) and GetDP (elementary notions). First practical example on electrostatics using the electric scalar potential. (Slides, part 1)
Tue 14/02Introduction to finite element formulations (least square interpolation, electrostatic and electrokinetic models, 1D and 2D cases). Tonti diagrams. Introduction to GetDP in parallel with theoretical tools related to the finite element method: 1D and 2D finite elements (degree 1 and 2), reference and real finite elements, change of coordinates, interpolation of scalar fields (degrees of freedom, basis functions), least square interpolation formulation, integral formulation. (Slides, part 2)
Tue 21/02Hands-on construction of .pro files for electrostatic and electrokinetic problems: strong and weak formulations; boundary conditions; infinite shell transformations. (Homework assignement 1)
Tue 28/02 No class
Tue 07/03Strong and weak formulations for magnetostatics and magnetodynamics: scalar and vector magnetic potentials; skin and proximity effects; practical examples using magnetic components and electric machines. Hands-on construction of .pro files for 2D magnetostatics and (frequency-domain) magnetodyamics using the magnetic vector potential; boundary conditions. (Reference paper)
Tue 14/03Strong and weak global quantities for electrostatics and magnetodynamics (charges, voltages and currents). Hands-on extension of .pro files to take global quantities into account. Extension to 3D: introduction to the Whitney complex: edge and facet elements. (Homework assignement 2)
Tue 21/03Global quantities and circuit couping: example of a transformer with a load. Class time for homework 2.
Tue 28/03No class.
Tue 04/04No class (Easter holidays).
Tue 11/04No class (Easter holidays).
Tue 18/04Time-domain and nonlinear simulations. (Homework assignement 3)
Tue 25/04Class time for homework 3

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