Examination arrangement

Course content

Modeling and dimensioning of electric power installations and apparatus requires physical understanding and knowledge of mathematical modeling. Based on fundamental electromagnetic field theory, the students will, learn to calculate stresses and parameters that characterize power systems or electrical apparatus. The lectures will be linked to practical issues in electric power engineering. Use of analytical and numerical methods for solving Maxwell's equations describing the electric and magnetic fields. The course starts with a continuation of electromagnetic theory with emphasis on adaption and use in electric power engineering. Especially emphasized are assumptions for applying static approaches when analyzing steady-state phenomena in electrical apparatus and systems. An introduction on use of numerical calculation tools based on Finite Element Method (FEM) for analysis of electric and magnetic fields is given. Topics that will be addressed are: Electrostatic field analysis in high voltage technology, the use of dielectric insulating materials, electric field control and shielding. Electric conductors, current distribution and losses. Static magnetic fields, the use of magnetic materials and permanent magnets. Dynamic magnetic fields; electromotive force, eddy currents, skin effect and proximity effect. Calculation of inductance, resistance and capacitance.

Learning outcome

Knowledge: Having completed the course, the candidate should have knowledge to: - use modern numerical software tools for solving Maxwell's equations in advanced practical problems in electric power engineering - recognize electromagnetic phenomena related to advanced practical problem solving and making sensible simplifications of Maxwell's equations in order to apply correct numerical models. Calculate fields based parameters to be used in further modeling and analysis of electric power apparatus and systems

Skills: Having completed the course, the candidate should be able to: - on an independent basis analyze a variety of advanced topics related to electric power apparatus and systems. Both analytical and numerical analyze methods are applied i research oriented problems. - document the results and a critical evaluation of both methods and results. - make an independent, limited development project in group under supervision General competence: After completing the course, the candidate has increased: - skills in cooperation and interdisciplinary collaboration - ability to communicate effectively to professionals and non-specialists alike through reports and presentations - ability to contribute to innovation and innovation processes

Learning methods and activities

Lectures about: Field theory. Linked to practical problem solving

Lectures about The Finite element method and the use of the software COMSOL. Lectures linked both to assignments and project. Flipped classroom and in which videos and reference material

Assignments: Obligatory, 7 of 11 exercises must be approved. Support in the learning phase.

Compulsory assignments

• Exercises

Further on evaluation

Assessment: 3 separate project reports, portfolio of reports will be graded as a whole, A-F. Topics:

1) 2D and 3D modelling applied on electric fields. Various forms of High voltage insulation design.

2) Magnetic fields - both static and dynamic. Focusing on magnetic designs and electrical machines.

3) Multiphysics modelling. Induction heating. Integrating thermal and electromagnetic design problems. Induced losses. Introduction to optimization.

You must pass all the projects to pass this course. If you fail one or more projects, the course as a whole muste be re-taken.

Recommended previous knowledge

Basic knowledge about electromagnetics and Maxwell's equations. NTNU offers pre-course prior to semester start to students who lack this from their Bachelor study.

Course materials

Stated at semester start.

Credit reductions