Numerical Field Calculations in Power Engineering

Modeling and dimensioning of electric power installations and apparatus requires physical understanding and knowledge of mathematical modeling. Students will based on the fundamental electromagnetic field theory 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 by direct and indirect methods such as energy methods. Power line models for power system analysis.

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 field 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

The course starts with traditional lectures and exercises. Subsequently, the use of numerical calculation tool is taught by lectures and digital tools. The numerical calculation tool is based on the Finite Element Method (FEM) for analysis of electric and magnetic fields. This tool is then applied to selected practical topics where the lecture deals with theoretical and technical aspects which are important in practical analysis and design of the given topic. In the following exercises, numerical software is used extensively. Finally, the students works in groups on an examination-project eligible in the final grade. The project is supervised by the responsible lectures and anther resource personnel.