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Numerical Methods for Designing Electrical Machines and Apparatuses

Type of study Follow-up Master
Language of instruction Czech
Code 410-4205/05
Abbreviation NMSP
Course title Numerical Methods for Designing Electrical Machines and Apparatuses
Credits 7
Coordinating department Department of Electrical Power Engineering
Course coordinator doc. Ing. Petr Kačor, Ph.D.

Subject syllabus

Lectures:
- Description, structure, and possibilities of CAD and FEM software; model building; material properties, dependencies, and constants; types of analyses; data processing.
- 2D and 3D electric field calculations, model setup, boundary conditions, model, solution, and evaluation.
- 2D and 3D magnetic field calculations, model setup, boundary conditions, model, solution, and evaluation.
- 2D and 3D electromagnetic field calculations, model setup, boundary conditions, model, solution, and evaluation.
- 2D and 3D thermal field calculations, model setup, boundary conditions, model, solution, and evaluation.
- 2D and 3D coupled-field exercises, electrical + thermal, electromagnetic + mechanical.
- Methodology for solving 2D and 3D coupled-field exercises; solving coupled fields using direct and indirect methods; element types; material constants.
- Introduction to solving fluid flow problems (liquids and gases), natural and forced flow. Surface cooling, heat transfer.

Computer Labs:
- Overview of the requirements for passing the course; assignment of the course project.
- Introduction to the software, running programs, memory management, data import and export, graphical user interface (GUI), pre-processing, analysis, post-processing, and description of material properties.
- 2D model of a plane capacitor, calculation of capacitance, electric field distribution, effect of dielectric arrangement.
- 2D model of a bushing, field intensity distribution, identification of critical points in the design, comparison with a 2D model of a bushing with a controlled field.
- 2D and 3D models of a conductor under AC power. Skin effect, proximity effect, influence of supply frequency and conductor material properties. Calculation of losses, determination of conductor resistance, additional loss factor.
- Busbar model, calculation of force effects during short-circuit current flow, time evolution of forces, effect of the DC component of the current.
- Model of a magnetic circuit with a permanent magnet, difference between the B-H and demagnetization curves of the materials used, operating point of the permanent magnet.
- 2D coil model, calculation of the inductance of an air-core coil and a core-type coil, effect of the relative position of two coils on the inductance value, parameterization of the model.
- AC electromagnet model, transient analysis setup, effect of a short-circuited turn, calculation of static pull force characteristics.
- 2D model of a single-phase core transformer, calculation of VA characteristics, simulation of a sudden short circuit, transformer inrush current, determination of short-circuit voltage and no-load current. Using an external circuit scheme for the load and measuring instruments.
- Model of a simple 3-phase generator; evaluation of the effect of the rotor's magnetic circuit material; calculation of the load characteristic, no-load voltage, and short-circuit current.

Projects:
This is an independent assignment that students complete outside of class. A project consists of calculations, drawings, and reports.
1. Simulation of the force effects on two parallel conductors.
2. Simulation of current flow through a conductor under AC power.
3. Simulation of the static pull force characteristics of a DC electromagnet.

E-learning

Consultation through MS Teams.

Literature

- Cardoso, J. R., Coelhom, R., R., A., Electromagnetics Through the Finite Element Method, CRC Press, 2025
- Senior, T. B., A., Mathematical Methods in Electrical Engineering, Cambridge University Press, 2008
- Sadiku, M.,N., O., Numerical Techniques in Electromagnetics, CRC Press, 1992

Advised literature

- Bianchi, N., Electrical Machine Analysis Using Finite Elements, CRC Press, 2005
- Zienkiewicz, O.C., The Finite Element Method In Engineering Science, London, McGraw-Hill, 1971