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Syllabus for

Academic year
SSY200 - Computational electromagnetics
Elektromagnetiska beräkningar
 
Syllabus adopted 2019-02-22 by Head of Programme (or corresponding)
Owner: MPENM
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Major subject: Electrical Engineering, Mathematics
Department: 32 - ELECTRICAL ENGINEERING


Teaching language: English
Application code: 20121
Open for exchange students: Yes

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0108 Oral examination 7,5c Grading: TH   7,5c    

In programs

MPBME BIOMEDICAL ENGINEERING, MSC PROGR, Year 1 (compulsory elective)
MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 1 (compulsory elective)
MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 2 (elective)
MPWPS WIRELESS, PHOTONICS AND SPACE ENGINEERING, MSC PROGR, Year 2 (elective)

Examiner:

Thomas Rylander

  Go to Course Homepage


Eligibility

General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Basic courses in electromagnetics and some knowledge of MATLAB..


Aim

Numerical solution of Maxwell's equations plays an increasingly important role in modern electrical engineering. Improvements, both in computer technology and numerical algorithms, make it possible to solve many electromagnetics design problems by computations, rather than the traditional way by building and testing prototypes. This holds in as diverse areas as eddy current calculations for generators, electrical machines and transformers, microwave circuits and antennas, optical components, radar scattering and electromagnetic compatibility.

The course introduces the main methods in Computational Electromagnetics: Finite Differences, Finite Elements and the Method of Moments and applies them to model problems. Applications from different areas of electromagnetics are used to illustrate the strengths and weaknesses of the methods. The course aims at enabling the student to choose appropriate methods for industrial electromagnetics problems.

Learning outcomes (after completion of the course the student should be able to)

  • Formulate and implement a basic computational algorithm in
  • electromagnetics with
    • the finite-difference scheme,
    • the finite-element method and
    • the method of moments.
  • Perform basic assessment of the numerical error.
  • Distinguish between different sources that contribute to the
  • numerical error.
  • Use basic extrapolation techniques.
  • Choose between time, frequency or eigenvalue analysis for a given
  • electromagnetic problem.
  • Choose appropriate numerical technique for a given application.
  • Choose appropriate post-processing tools for a given application.
  • Operate commercial software in a well-informed manner.
  • Evaluate the computational resources required to analyze a given
  • industrial problem.

Content

Three main computational methods are studied in the course
  • Finite Differences for electrostatics and wave propagation in one, two and three dimensions. Staggered meshes for Maxwell's equations - FDTD (Finite-Difference Time-Domain, or Yee's method). Application to computation of capacitance and S-parameters of microwave circuits.
  • The Finite Element Method (FEM) in one and two dimensions. Nodal and edge elements. Galerkin's method and variational formulations. Application to microwave cavities, magnetostatics and eddy current problems.
  • The Method of Moments (MoM) in two and three dimensions. Integral formulation of electrostatics and Maxwell's equations. Green's functions and numerical integration. Application to capacitance calculation and electromagnetic scattering from a thin wire.
Error estimates and extrapolation to zero grid size are studied by grid refinement.

Organisation

The course is organized as lectures and exercise classes. The classes are oriented towards hand-in problems (MATLAB) dealing with application problems.

Literature

T. Rylander, A. Bondeson and P. Ingelström, Computational Electromagnetics, New York: Springer, 2013.

Examination including compulsory elements

Accepted hand-in problems and oral examination.


Published: Mon 28 Nov 2016.