Theory of Electromagnetic Field B

Lecturer:

Tutor:

Supervisor:

Department of Electromagnetic Field

Synopsis:

This course brings basic information on the electromagnetic field behaviour and computation of static, stationary and time varying fields, the wave propagation and the skin effect. Methods for the design of insulation layers, capacitors, inductors and magnetic circuits are presented. The emphasise is laid on numerical methods used in computer-aided design in electrical engineering. The course is intended for students interested in computers application.

Requirements:

Syllabus of lectures:

1. Basic theorems of electromagnetic field, charges and current

2. Field in vacuum. The Laplace,s, Poisson,s and integral equations - their solution

3. Macroscopic model of the matter. Polarisation and magnetisation

4. Field of stationary currents. Magnetic field of currents

5. Magnetic field potentials. Self and mutual inductance

6. Magnetic circuits and their solution. Field in ferromagnetic environment

7. Nonstationary field. The complete Maxwell,s equations, material relations

8. The Faraday,s law. Energy and forces in electromagnetic field

9. Analitical and numerical methods of electromagnetic field solution

10. Fields solution on computers. Finite difference method

11. Methods of finite elements, boundary elements and Monte Carlo. Numerical solution

12. The Poynting,s theorem. Power absorbed by the matter. Electromagnetic wave.

13. Plane harmonic wave. Field and waves in conductors, skin effect

14. Guided waves. TEM waves on two-conductor and co-axial transmission lines

Syllabus of tutorials:

1. Necessary mathematical operations. Introduction to electrostatics - vector of electric field, potential.

2. Basic methods of electrostatic field solution in both homogeneous and nonhomogeneous environments - the Gauss,law, the method of superposition, the method of images, calculation of the capacitance. Synthesis of transmission lines - dielectric strength.

3. Analytical and numerical methods of the Poisson,s and Laplace,s equations solution.

4. Practice with computers - the finite elements method - numerical solution of the Laplace,s equation.

5.Project - computation of the potential distribution by the finite elements method.

6.Stationary current - synthesis of grounding electrodes.

7. Basic methods of stationary magnetic field solution - the Amper,s law, the method of superposition, the Biot-Savart law.

8. Magnetic field potentials, calculation of the self and mutual inductances.

9.Practice with computers - magnetic circuits, stationary magnetic field - numerical solution.

10.Nonstationary electromagnetic field - the Faraday,s law, transmitted power, power balance, harmonically varying fields.

11.Solution of the wave equation, plane electromagnetic wave.

12. Plane electromagnetic wave, computation of the voltage received by an antenna.

13.Laboratory - experiments.

14.Skin effect in both Cartesian and circular coordinates. Credit.

Study Objective:

Study materials:

[1] R.E.Collin: Field Theory of Guided Waves. 2nd Edit., IEEE Press, New York 1991

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: