The subject describes fundamental methods of electrical circuit analysis. The aim is to unify different level of knowledge of students coming from schools of different categories and form the basis of knowledge necessary for next subjects. It presents the difference among physical circuit and its models, and then it presents the behavior of basic ideal circuit elements in DC circuits and in sinusoidal steady state as well as transients, caused by changes in the circuit. Acquired knowledge should, among other things, also be used for critical assessment of the results of the analysis and simulation of electrical circuits by means of software tools.
1. Electrical devices and its models. Basic quantities (electrical charge, voltage, current, power), special values. Basic ideal passive and active circuit elements, Ohms' law.
2. Basic laws and theorems (Kirchhoff's circuit laws, Thévenin's and Norton's theorem, superposition theorem).
3. Elementary analysis of linear resistive circuits. Circuits excited by one and several independent sources.
4. Power and power matching in resistive circuits. Working states of electrical circuits (transients, steady state). DC steady state.
5. General methods of resistive circuit analysis - circuit topology, circuit equations.
6. Sinusoidal steady state, representation of a sine wave as a phasor. Methods of the AC analysis.
7. Phasor diagrams. Power and power matching in the AC circuits. Resonant circuits.
8. Three-phase systems, methods of AC analysis of a three-phase circuits. AC power in three-phase circuits, phasor diagrams.
9. Frequency dependence of network functions (impedance, admittance, transfer function). Frequency response.
10. Circuit equations in time domain for linear circuits with an energy storage circuit elements. 1st order circuit transients.
11. Transients in the 2nd order circuit - aperiodic and quasiperiodic case, oscillating RLC circuits.
12. Transient analysis using Laplace transform. Excitation by single pulses, transfer characteristics (the unit impulse and unit step response).
13. Relationship among description and behavior of circuits in time and frequency domain. Circuits excited by a periodic non-sinusoidal voltage or current (periodic steady state), Fourier series.
14. Summary of knowledge and comparison of methods for analyzing electric circuits. Some other problems of circuit analysis.
1. An introduction. Electric circuit, electrical voltage and current, sources of electrical energy, loads, electric circuit and its physical analogies.
2. Circuit variables and its basic quantities. Ideal passive and active circuit elements, Ohm's law, electric circuit.
3. Kirchhoff's laws. Series and parallel connection of resistors (common voltage or common current), voltage divider and current divider. Connection of ideal independent sources.
4. Thévenin's and Norton's theorems, substitution of sources, loaded dividers. Superposition theorem. Elementary analysis of linear resistive circuits.
5. Series and parallel connection of practical electric sources. Power supplied by the source, power absorbed by the resistor, power matching.
6. General methods of resistive circuit analysis - circuit equations (circuit topology, loop analysis, nodal analysis). Input and output resistance of the circuit (including circuits with controlled sources).
7. Sinusoidal steady state, representation of a sine wave as a phasor, impedance and admittance. Elementary AC analysis, circuit equations.
8. Phasor diagrams. Power (active, reactive and apparent), power factor and and power matching in AC circuits. Resonant circuits.
9. Three-phase circuits. Powers in multiphase circuits, phasor diagrams.
10. Frequency response, its graphical representation, asymptotic approximation (Bode?s plot).
11. 1st order transients.
12. Transients in the 2nd order circuit excited by DC source - aperiodic and quasiperiodic case, oscillating RLC circuits.
13. Transient analyses using Laplace transform. Excitation by single pulses, unit impulse and unit step response.
14. Recapitulation, assessment.
1. Irwin, J. D., Nelms R. M.: Basic engineering circuit analysis: / 9th ed., Wiley, 2008, ISBN 0470128690.
2. Alexander Ch. K., Sadiku M., N. O.: Fundamentals of Electric Circuits, 3rd ed., Mc Graw Hill, ISBN: 978-0-07-297718-9.