SUUUpoRT Programme - Theory of Electrical Circuits with Distributed Parameters in Steady State

The Theory of Electrical Circuits with Distributed Parameters in Steady State course is aimed at undergraduate students in Electrical Engineering or similar majors.

In this course, you will learn an interesting story about the laying of a transatlantic cable that ended up not working the way it was supposed to. This is what forced scientists to study electrical circuits with distributed parameters.

You will learn about the main differences between these electrical circuits and known lumped circuits.

We begin our discussion of distributed-parameter circuits with their primary parameters. Based on the knowledge of the primary parameters, we will obtain an equivalent circuit for an infinitely small section of the line, which will allow us to obtain the basic equations of lines with distributed parameters - the so-called "telegraph equations".

We will solve telegraph equations and learn about the existence of two independent wave processes in lines with distributed parameters. We calculate the phase velocity of propagation of oscillations in the line and learn with surprise that it can be greater than the speed of light.

We will consider in detail the various modes of operation of lines with distributed parameters: the mode of operation without distortion, the mode of matched load and the mode of operation without loss. The study of these modes helped in due time to find out the causes of the incorrect operation of the transatlantic cable and eliminate these causes. By the way, that's why you can read this text now!

We will consider the standing wave regime and very interesting features of the line input impedance.

All this and much more - see our lectures!

Recommended Prior Knowledge:

• Linear system resolution
• Complex numbers
• Differential and integral calculation
• Electric and magnetic magnitudes
• Direct current and alternating current
• Ohm and Kirchhoff law enforcement

Lecture topics:

1. Basic concepts of lines with distributed parameters. The history of development
2. Primary parameters and distinctive features of lines with distributed parameters
3. Basic equations of lines with distributed parameters. general case
4. Basic equations of lines with distributed parameters in the sinusoidal signal mode
5. Solution of the basic equations for known currents and voltages at the beginning of the line. Secondary Options
6. Solution of the basic equations for known currents and voltages at the end of the line
7. Direct and reverse waves in lines with distributed parameters
8. Phase and group velocity of wave propagation. The physical meaning of wave resistance
9. Line without distortion. Main idea and relations
10. History of telegraph cable. Continuation
11. The problem of a long cable in a frequency-controlled electric drive and its solution
12. Operation of the line with distributed parameters in the mode of matched load
13. Line operation with distributed parameters in the absence of losses
14. Input impedance of a lossless line and its features
15. Standing waves and their features

Lecturer:

Doctor of Technical Sciences, Professor Dmitry Maevsky, Head of the Department of Electromechanical Engineering, National University "Odesa Polytechnic", Odesa, Ukraine.

He has been teaching the Theory of Electrical Engineering since 1978.