Electric Circuit Theory

Lecturers:

Second teaching year. Semesters III and IV, each containing 14 weeks.
Two-hour lectures and two-hour excercises per week for Electronics Division.
Two-hour lectures in III and three-hour lectures in IV semester, and two-hour excercises per week for Power Engineering Division.

Partial exams (colloquiums) at the end of each semester, and the final exam after finishing the whole course.

Part one: Time-domain analysis

Basic principles and definitions. Physical circuits and networks and their modelling. Circuit elements. Power, energy and passivity. Network graphs. Basic circuit teorems. Circuit elements. One-port resistive, inductive and capacitive elements. Independent sources. Two-port resistive elements. Two- and multiport inductive transformers. Time-domain analysis. Two standard forms of circuit equations: one differential equation and state equations. Zero-input response. Zero-state response: step response, impulse response. Complete response. Response to an arbitrary input: superposition and convolution integrals. State-space approach.

Part two: Frequency-domain analysis

Steady-state response. Sinusoidal steady-state response. Phasor diagrams. Network functions. Coupled circuits. Power and energy in the sinusoidal steady state. Pseudoperiodic steady-state response. Network functions in the pseudoperiodic steady state. Bode plots and stability analysis. Periodic steady-state analysis.

Fourier transform. Definition and basic properties. Continuous and discrete Fourier transform. Signal and circuit analysis using Fourier transform.

Laplace transform. Definition and basic properties. Circuit analysis using the Laplace transform. Relations between time and frequency analysis.

General circuit analysis. Tableau analysis (TA). Cut-set analysis, mesh and loop analysis. Node and modified node analysis (NA and MNA). Automated computer-aided symbolic analysis.

Part three: Network analysis

Lumped networks. Two-port network analysis. Chain networks: image impedances and transfer functions. Symmetrical two-ports. Ladder networks. Electrical filters. Fundamentals of the network synthesis.

Distributed networks. Currents and voltages in long lines. Steady-state response in a uniform line. Input impedance of a uniform line. Open-circuit, short-circuit and loaded termination of a uniform line. Reflection. Lossless lines and standing waves. The use of a transmission lines. Transient analysis of distributed-parameter networks.

Three-phase circuits (only for Power Engineering)

Polyphase sources and polyphase circuits. Analysis of a balanced (symmetrical) three-phase circuits. Unsymmetrical circuits and their analysis. Power measurement in three-phase circuits. Symmetrical components. The use of symmetrical components in the unsymmetrical three-phase circuit analysis: particularly in different short-circuit and open-circuit unbalanced faults. The rotating magnetic field.

This page is maintained by Prof. Dejan V. Tosic.
Please send comments to tosic@galeb.etf.bg.ac.yu.

Last updated 1998/10/27 16:00.