Vishnyakov S.
Electrical engineering
(lectures- 32 h, laboratory- 48 h, home work-48h)
To Bachelor 3-4 semester
Basics of electrical engineering. DC analysis, AC analysis, time-domain analysis.
Advanced methods of circuit analysis.
Textbooks:
1. Clayton R. Paul Analysis of linear circuits -NY.: McGraw-Hill, 1989, 794 p.
2. Electrical engineering. Lecture notes, S. Vishnyakov (available at efis.mpei.ru).
3. Electrical engineering. Laboratory works 1-24, S. Vishnyakov at al (available at
efis.mpei.ru).
Goals:
This course introduces the basics of electrical engineering: terms, laws, principles,
theorems. Basic analysis procedures are introduced: nodal analysis, mesh analysis,
phasor circuits, time-domain and s-domain analysis. Laboratory works support course
with experiments and modeling.
Course Objectives:
1. Ability to use basic laws, principles, theorems and methods for DC and AC analysis
of linear electrical circuits.
2. Ability to analyze dynamics of electrical circuits using time-domain or s-domain
methods.
3. Ability to use oscilloscope, voltmeter, generator in order to examine the schematic
functions and the performance of electrical circuits.
Prerequisites by topic:
1. Math (differential and integral analysis).
Course Outline
Lecture Topic:
1. Electrical engineering – basics, 2 h.
2. Electrical elements and Kirchhoff ’s laws, 2 h.
3. DC analysis, matrix formulation, 2 h.
4. Nodal analysis, mesh analysis. Superposition principle. Reciprocity, 2 h.
5. Real source, its equivalent schemes. Linearity. Power balance, 2 h.
6. AC analysis. Phasor currents. Impedance and admittance, 2 h.
7. Average power. Complex power. RMS current. AC power balance, 2 h.
8. Mutual inductance. Transformer. Ideal transformer, 2 h.
9. Two-ports systems. Two-ports parameters, 2 h.
10. Controlled sources. Equivalents of two-ports systems. Operational amplifier, 2 h.
11. Resonance. Frequency response. Transfer function, 2 h.
12. Fourier series. Harmonic analysis. Fourier transform, 2 h.
13. Transient analysis. First order ODE. Forced and natural solutions, 2 h.
14. Transient analysis. Second order ODE. Types of natural solutions. State-spce
model, 2 h.
15. Advanced methods of transient analysis. s-domain analysis. Convolution, 2 h.
16. Introduction in non-linear circuits, 2 h.
Course laboratories:
1. Electric elements, serial & parallel connections, 2 h.
2. Ohm’s law, current-voltage relations, 2 h.
3. Kirchhoff’s laws, nodal analysis, 2 h.
4. Real source of electric energy, 2 h.
5. DC analysis, input resistance, 2 h.
6. Thevenin’s theorem, Norton’s theorem, 2 h.
7. Sinusoidal current, complex algebra, phasors, 2 h.
8. Phasor circuits, impedance & admittance, 2 h.
9. Phasor circuits, measurements, 2 h.
10. Phasor circuits, resonance, 2 h.
11. Magnetic coupling, 2 h.
12. Mutual inductance, transformers, 2 h.
13. Two-ports systems, 2 h.
14. Two-ports system parameters measurement, 2 h.
15. Transfer function – first order, 2 h.
16. Transfer function – second order (part 1), 2 h.
17. Transfer function – second order (part 2), 2 h.
18. Transfer function – active circuits, 2 h.
19. Steady-state analysis. Fourier series, 2 h.
20. Transient analysis – first order, 2 h.
21. Transient analysis – second order, 2 h.
22. Advanced analysis techniques – Laplace transform, s-domain analysis, 2 h.
23. Advanced analysis techniques –convolution, Duhamel’s integral, 2 h.
24. Advanced analysis techniques – state-space model, 2 h.