
Being able to analyse and design electro and magnetostatic systems (and systems in analogue physical domains, e.g. thermostatic) using Finite Element Methods (FEM) techniques


This course focuses on computation of quasistatic electrical and magnetic fields of technical constructions (as well as systems that can be described physically in analogue fashion). Examples are capacitors, write/read transducers for magnetic recording, periodic systems like patterned recording media, EMfields shields, particular transducers, MEMS & NEMS devices, transistors, etc.
Analytical computational methods and FEM (Finite Element Methods) will both take 50% of the time. Students will become familiar with the possibilities and (dis)advantages of both methods of approach. They will learn interpreting the FEM results and will apply the analytical methods for validating the FEM results. Some attention will be paid to the analogy of mathematical approach for different application fields such like electrical, magnetic, mechanical, diffusion and heat conduction. EMstatics is positioned between the more or less superficial approach (like for instance in freeFEM++ or Comsol), and the extensive and mathematically profound treatments in the established courses for mathematics and mechanicalengineering students.
Attention will be paid to:
1. The fundamental mathematics of static EMfield problems.
2. The choice for an analytic method or a numerical (finite element) approach.
3. Analytical and numerical computation of one two, and threedimensional electromagnetic fields. Finding the most useful method of approach.
4. Validation and interpretation of the computational results.
5. Recognising analogies for computation of fields in the electromagnetic domain on the one hand, and in analogical physical domains (mechanical, heat flow, fluid mechanics) on the other.
The course will be setup with 7 assignments, which will lead to problembased learning. These cases will be discussed with the instructors on an individual basis, or in small groups. The assessment will be based on the work on a final case. Student will apply the commercial software package “Comsol multiphysics”, using a licence which is valid during the course.
Contents
EMstatics focuses on computations for quasistatic electromagnetic problems. Two approaches: 1. Analytic methods, including the application of integration methods and Fourier transforms. 2. Numerical methods, including Finite element methods (FEM).
Educational form(s):
EMstatics is only offered in selfstudy / capita selecta format (unless a large enough group makes it worthwhile to have group meetings.) and can be taken the entire year.
Assessment
Individual assignment (70 hours). Assignment project can be related to the master thesis project.




 Assumed previous knowledgeRequired, for instance from former courses EE: Fields & Waves EE module 4, or Fields & Waves AT module 7, or Electromagnetism 191403070. 
Master Electrical Engineering 
  Required materialsRecommended materialsHandouts  BookJ. van Kan et. al. "Numerical methods in scientific computing", ISBN 9071301508 
 BookD.K. Cheng "Field and wave electromagnetics" ISBN 0201528207, or 
 BookW.B.J. Zimmerman et. al. "Multiphysics modelling with finite element methods", ISBN 9789812568434 
 BookS. Humphries "Field solutions on computers", ISBN 0849316685 

 Instructional modesSelf study without assistance

 TestsAssignments + Paper


 