Applied Power Engineering 1

Lecturer:

Tutor:

Supervisor:

Department of Electroenergetics

Synopsis:

The aim of the subject is acquiring basic knowledge of the methodology of solving wide spectrum of tasks in power engineering. The course starts with the survey of various mathematical tools and particular methods necessary for determining the circuit parameters of power structures and their behaviour under various operation conditions. An adequate attention is paid to the earth return and grounding systems. The cycle is finished by basic information about the influence of higher frequencies on power equipment.

Requirements:

Syllabus of lectures:

1. Mathematical tools necessary for solution of problems in power engineering I (co-ordinate systems, vector and matrix calculus, differential operators and selected applications).

2. Mathematical tools necessary for solution of problems of power engineering II (ordinary and partial differential equations, variational calculus and selected applications).

3. Numerical methods for solution of problems of power engineering I (the most used algorithms for solution of the ordinary differential equations, boundary conditions, numerical approximation of the continuous dependencies).

4. Numerical methods for solution of problems of power engineering II (transmission equations and their solution: Heaviside's decomposition, Wendroff's approximation formulae etc.).

5. Numerical methods for solution of problems of power engineering III (basic differential methods for solution of electromagnetic fields).

6. Numerical methods for solution of problems of power engineering IV (integral, hybrid and special methods for solution of electromagnetic fields).

7. Basic characteristics and parameters of electromagnetic fields and methods of their determination (energy, forces, inductances, capacitances), influence of non-linearity and anisotropy.

8. Continuous, discrete and circuit models in the power engineering structures (basic attributes, limits of applicability, advantages, drawbacks).

9. Modelling of the earth return (presentation of the basic continuous and discrete models).

10. Circuit parameters of the power engineering structures I (long overhead and cable lines).

11. Circuit parameters of the power engineering structures II (transformers, coils).

12. Circuit parameters of the power engineering structures III (synchronous and asynchronous machines).

13. Grounders and grounding systems (distribution of voltages and currents, total resistances).

14. Higher frequencies in power engineering (current of higher frequencies in grounding systems, influence of semiconductor inverters on situation in electrical networks etc.).

Syllabus of tutorials:

1. Time-dependent distribution of the electric field near the overhead line without grounding wires

2. Differential equations describing the situation along a general line with n-conductors and its discussion

3. Numerical modelling of the magnetisation characteristics of a power transformer by means of cubic splines, equation of its inrush current and the way of its solution

4. Voltage and current along an overhead line with various conditions at its beginning and end

5. 2D magnetic field analysis in the window of a power transformer (a user program versus professional code OPERA)

6. Situation in a three-phase power cable (distribution of the potential, electric field strength, temperature)

7. Forces acting in a system of busbars of circular or rectangular cross-section loaded by harmonic currents

8. 1D transfer of energy in a lossy medium

9. Earth return and distribution of the current density in the earth

10. Inductances and capacitances in various kinds of overhead and cable lines

11. Self-inductance of an air-core coil and forces acting on its winding

12. Determination of reactances of various types of synchronous machines

13. Distribution of voltages and currents in simple grounding systems

14. Common and differential mode currents in power circuits with semiconductor voltage inverters

Study Objective:

Study materials:

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 - Electroenergetics- structured studies (compulsory course)