Electrical Circuits 2B

The course cannot be taken simultaneously with:

Electrical Circuits 2 (X31EO2)

The course is a substitute for:

Electrical Circuits 2 (X31EO2)

Lecturer:

Tutor:

Supervisor:

Department of Circuit Theory

Synopsis:

The X31EO2B subject is the extended version of the X31EO2 one. The „classical“ contents of the (X31EO2) lectures is completed with the basic discrete system theory.

Requirements:

The exam can be passed with credit only. It is necessary to attend 50 %

of exercises at least.

Syllabus of lectures:

1. Signal transformations in circuit theory, sinusoidal steady state -

recapitulation, phasor as a transformation product, time and frequency

domain, periodic non-sinusoidal signals transformation, Fourier series,

discrete frequency spectrum.

2. Fourier transform, continuous frequency spectra, two-terminal frequency

characteristics.

3. Laplace transform, examples, two-terminal operational characteristics,

relationship between Fourier and Laplace transform.

4. Periodic non-sinusoidal steady state analysis in linear circuits, RMS

value, distortion factor, power of non-sinusoidal current.

5. Time domain and operational circuit equations.

6. Transients, time domain transient analysis.

7. 1st order transients.

8. Higher order transients.

9. Operational transient analysis.

10. Unit impulse response, unit step response, stability.

11. Frequency responses

12. Circuits with distributed parameters, lossless transmission line.

13. Finit length transmission line, wave reflections, standing waves,

examples.

14. Discrete signals and systems. Signal sampling and reconstruction, Shanon theorem, Z-transform, Fourier transform (DTFT, DFT), LTI discrete systems, discrete systems design, digital filtering

Syllabus of tutorials:

1. Repetition - stationary steady state circuit analysis.

2. Repetition - sinusoidal steady state circuit analysis,

phasors as one-point frequency spectra.

3. Measurement on simple resistive and RC circuits - laboratory exercise.

4. Fourier series of periodic voltages and currentsů, discrete frequency

spectra.

5. Periodic non-sinusoidal steady state circuit analysis.

6. Fourier transform, continuous frequency spectra, two-terminal frequency

characteristics.

7. Laplace transform, two-terminal operational characteristics,

time domain and operational circuit equations.

8. 1st order transients.

9. 2nd order transients.

10. Transients in RL a RLC circuits - laboratory exercise.

11. Operational transient analysis. Unit impulse and unit step response.

12. Frequency responses - Bode's approximation.

13. Transients on lossless transmission line - laboratory exercise,

computer simulation.

14. Discrete signals, discrete systems, credit.

Study Objective:

Study materials:

1. Mikulec M., Havlíček V.: Basic Circuit Theory

2. Havlíček V., Čmejla R.: Basic Circuit Theory I - exercises

3. Havlíček V., Čmejla R., Zemánek I.: Basic Circuit Theory II - exercises

4. Havlíček V., Pokorný M., Zemánek I.: Elektrické obvody 1

5. Havlíček V., Zemánek I.: Elektrické obvody 2

6. Čmejla R., Havlíček V., Zemánek I.: Základy teorie elektrických obvodů 1

- cvičení

7. Čmejla R., Havlíček V., Zemánek I.: Základy teorie elektrických obvodů 2

- cvičení

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Common plan- structured studies (compulsory course)
• Computer Technology- structured studies (compulsory course)
• Electronics and Communication Technology - structured studies (compulsory course)
• Cybernetics and Measurements- structured studies (compulsory course)
• Heavy-current Engineering- structured studies (compulsory course)