4 ECTS credits
110 u studietijd

Aanbieding 1 met studiegidsnummer 4016311FNR voor alle studenten in het 2e semester met een gespecialiseerd master niveau.

2e semester
Inschrijving onder examencontract
Niet mogelijk
Beoordeling (0 tot 20)
2e zittijd mogelijk
Registration for Numerical Modelling of Electromagnetic Devices is allowed if one has successfully accomplished or is registered for 30 ECTS of (semi)common courses of year 1 of the standard learning path of the Master in Electromechanical Engineering, EN track (Dutch program idem).
Onder samenwerkingsakkoord
Onder interuniversitair akkoord mbt. opleiding
Faculteit Ingenieurswetenschappen
Verantwoordelijke vakgroep
Externe partnerinstelling(en)
Université Libre de Bruxelles
Johan DECONINCK (titularis)
Onderdelen en contacturen
24 contacturen Hoorcollege
24 contacturen Werkvormen en Praktische Oef.

The valid fiche for ULB can be found at the following link : ELEC-H419. Change the language to English in the dropdown menu on top of the page.

The course is composed of two parts of equal length (each 12h + 12h).

Part 1.The physics behind the Maxwell equations are briefly recalled and the equations for electrostatics, electrodynamics, magnetostatics and magnetodynamics are derived and explained. This includes induced currents from motion and varying magnetic fields.

Also the (laminar) Navier-Stokes equations for incompressible flow and the energy conservation equation are recalled and complemented with electromagnetic terms such that fully coupled thermal-electromagnetic problems are within reach. Finally the balance equations for transport of ions in electrolytes are given.


Based on the weighted residual method, and mainly applied to the Laplace equation, it is shown how the different discretisation techniques are derived and linked. We treat the finite element method (FEM), the boundary element method (BEM), the residual distribution method (RDM), the finite difference method (FDM) and a family of analytical methods.


We also treat the following numerical aspects:

·       non-linear boundary conditions (as encountered in electrochemical problems)

·       non-linear media (magnetic material)

·       iteration methods

·       calculation of derived quantities such as total current and flux.


The practical exercises start with the analysis of the global structure of a boundary element and finite element program. The students are next confronted with existing software in order to experience the fundamental properties of elliptic fields (boundary effects, sphere of influence, …). Finally the students are asked to solve a particular electrotechnical problem.

Part 2. The modelling of electromagnetic actuators and electric machines is studied considering the following aspects:

·       particular 2D and 3D formulations

·       electrical circuit coupling, distinguishing between stranded and massive conductors

·       modelling of movement of rotation

·       force and torque calculation

·       magnetic material modelling

·       optimisation

This material will be illustrated by means of a number of test cases and practical exercises for the students.

Digitaal cursusmateriaal (Vereist) : Numerical Modelling of Electromagnetic Devices, Johan Deconinck
Handboek (Aanbevolen) : The Finite element method, Zienkiewicz, John Wiley and sons, 9780750664318
Handboek (Aanbevolen) : Finite elements for electrical engineers, P.P. Silvester, John Wiley and sons, 9780521449533
Handboek (Aanbevolen) : The finite element method for engineers, Kenneth H. Huebner, John Wiley and sons, 9780471370789
Handboek (Aanbevolen) : Boundary Elements, An Introductory Course, C.A. Brebbia, McGraw-Hill Book Company, 9781853123498
Bijkomende info

software for electromagnetism


Algemene competenties

The general introduction on the equations gives a broad scientific knowledge and understanding into the links between the quasi-static magnetic field and electric field systems and conservation equations for energy, mass and momentum. This allows formulating and designing complex coupled systems that can be simplified.

In the second part concerning the practical modeling of electromagnetic devices ample attention is paid to both numerical accuracy and good engineering pragmatism. The flexibility, large appliability and limitations of the used software is put into evidence.

We give a very general overview of the different numerical methds that are available and commonly used to solve field problems (electric and magnetic fields, temperature, concentration). The focus is on a generic approach that provides a global link between the different discretization methods such that they can even be combined. In this way we give a global background to model complex problems rather than focusing on the usage of existing software packages (Magnet, Cosmos, Comsol, ....



Knowledge oriented competences

Having in-depth knowledge and understanding of exact sciences with the specificity of their application to engineering.

Knowledge oriented competences

Having in-depth knowledge and understanding of integrated structural design methods in the framework of a global design strategy.

Knowledge oriented competences

Having in-depth knowledge and understanding of the advanced methods and theories to schematize and model complex problems or processes.

Knowledge oriented competences

Having a broad scientific knowledge, understanding and skills to be able to design, produce and maintain complex mechanical, electrical and/or energy systems with a focus on products, systems and services. E.g. codepo project, courses around renewable, sustainable mobility,...

Knowledge oriented competences

Having an in-depth understanding of safety standards and rules with respect to mechanical, electrical and energy systems.

Scientific competences

Can reformulate complex engineering problems in order to solve them (simplifying assumptions, reducing complexity).


Having an attitude of life-long learning as needed for the future development of his/her career.


De beoordeling bestaat uit volgende opdrachtcategorie√ęn:
Examen Andere bepaalt 100% van het eindcijfer

Binnen de categorie Examen Andere dient men volgende opdrachten af te werken:

  • exam met een wegingsfactor 1 en aldus 100% van het totale eindcijfer.

Aanvullende info mbt evaluatie

The final grade is composed based on the following categories :

Written exam (two parts) on the theory determines 50% of the final mark.

Written exam with exercises determines 50% of the final mark.

Academische context

Deze aanbieding maakt deel uit van de volgende studieplannen:
Master in de ingenieurswetenschappen: werktuigkunde-elektrotechniek: energie
Master of Electromechanical Engineering: Energy (enkel aangeboden in het Engels)