Physical Field in Energy Use

Lecturer:

Tutor:

Supervisor:

Department of Electroenergetics

Synopsis:

The aim is to achieve basic knowledge of the physical fields related to the consumption of electrical energy. A student will first acquire a complete survey of the mathematical tools in the physics of continuum. This knowledge is then applied to the theory of the electromagnetic, temperature, luminous, velocity and displacement fields and in the introduction to the coupled tasks. The end of the course is dedicated to the methods of solution of considered fields and information about the existing SW.

Requirements:

Syllabus of lectures:

1. Characteristics of the 3D space, co-ordinate systems and their transformations, concept of the physical field, scalar and vector quantities

2. Differential operators and their physical significance with illustrative examples. Scalar and vector potentials and their association with the field quantities

3. Integral vector identities (the Gauss and Stokes theorems) and their utilisation for determination of the physical field characteristics. The laws of flow

4. Balance relations in an elementary volume, problems of physical phenomena in regions with stable and varying boundaries and their illustrative applications

5. The variation principle and its utilisation for the description of the physical processes. The Lagrange equations of the second kind

6. The electromagnetic field and its parameters, basic relations, equations, boundary conditions

7. The temperature and luminous fields, basic relations, equations, boundary conditions

8. The field of mechanical forces and problems of building the movement equations. The mathematical models of selected electromechanical systems

9. The field of the mechanical displacements, basic relations, equations, boundary conditions

10. Interaction of several physical fields, coupled problems typical for power applications

11. Methods of solution of the physical fields. Utilisation of the analytical methods and various transforms

12. Summarisation and principal attributes of the numerical methods for the solution of the physical fields I - differential methods

13. Summarisation and principal attributes of the numerical methods for the solution of the physical fields II - integral methods

14. Information about existing SW, its possibilities and perspectives.

Syllabus of tutorials:

1. 3D problems in SW Mathematica, visualisation of the scalar and vector fields

2. Analytical and numerical calculation of the expressions with differential operators in 3D, package Calculus in SW Mathematica

3. Use of integral vector identities for determination of the fields and their significance in balancing

4. The derivation of the general equation of conservation in continuum by means of balances in a volume element and integral vector identities, equivalence of both approaches

5. The mathematical models of simple electromechanical systems

6. Forces acting in electromagnetic systems

7. Boundary-value problems of the Fourier-Kirchhoff equation, differences between the luminous and thermal quantities

8. Limits of solvability of the Navier-Stokes equation, presentations of its elementary solutions, concept of the boundary layer

9. The thermoelastic displacements at the induction heating

10. Building of equations of the electromagnetic launcher and indication of their solution

11. Operation parameters and characteristics of an n-phase power cable (with its temperature rise and ageing of its insulation)

12. The system matrix in the Finite Element Method and discussion of its properties

13. The system matrix in the Boundary Element Method and discussion of its properties

14. Presentation of electromagnetic fields solved by means of codes OPERA PC and OPERA 3D

Study Objective:

Study materials:

1. Bird, Steward, Lightfoot: Transport Phenomena, John Wiley & Sons, New York 1965.

2. Feynman, Leighton, Sands: The Feynman lectures on physics.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Heavy-current Engineering - Electrical Engineering Applications- structured studies (compulsory course)