Study Guide

Objectives

The student knows:
• When Fourier series expansion is needed in circuit modeling

The student can:
• Model circuit switching phenomena and understand their essential differences compared to steady-state circuit modeling
• Model circuit resonance situations and master the analysis of basic passive filters
• Model symmetrical three-phase systems using phasor calculation methods
• Analyze electrical circuits using Fourier analysis, where source voltages and currents are any periodic functions

Content

Resonance in Electrical Circuits: What resonance means and how it manifests in electrical circuits. How resonance situations in electrical circuits are modeled.

Passive Filter Circuits: How low-pass, high-pass, band-pass, and band-stop filters are implemented using resistors, inductors, and capacitors. How these filter circuits are modeled using the transfer function of voltage gain.

Switching Phenomena: How switching phenomena and other transient situations in electrical circuits can be modeled. Modeling switching phenomena inevitably leads to differential equations, which are solved in the course both in the time domain and using the Laplace transform.

Structure and Connections of Symmetrical Three-Phase Systems: Different loading situations and the effect of the neutral conductor on the system's operation, three-phase system powers, single-phase equivalent circuit.

Fault Situations in Symmetrical Three-Phase Systems: Analysis of their steady-state using phasor calculation methods.

Fourier Series Expansion in Representing Periodic Functions: Frequency response and its role in system modeling, calculating the system output using Fourier series and frequency response.

Assessment criteria, satisfactory (1-2)

Successful completion of the course requires knowledge of the basics of switching phenomena, resonance circuits, basic passive filters, symmetrical three-phase systems, and Fourier analysis.

Assessment criteria, good (3-4)

Achieving a good grade in the course requires, in addition to the basics, a strong mastery of three-phase system analysis and the application of Fourier analysis to more complex situations. The student is able to solve applied problems related to resonance, filter circuits, and circuit switching situations.

Assessment criteria, excellent (5)

Achieving an excellent grade in the course requires flawless mastery of the course content. Careless mistakes may not necessarily prevent an excellent grade, but the understanding of the content must be nearly perfect for both three-phase systems and Fourier analysis. The student is able to solve resonance situations in electrical circuits and understands the differences in the effects of series and parallel resonance. The student can design various filter circuits and understands the behavior of voltage gain as a function of frequency. The student understands the background of circuit switching phenomena and can solve various circuit switching situations both in the time domain and using the Laplace transform.