Electrical circuits 1 - winter semester 2008 - 2009

XE31EO1 Electrical circuits 1 Extent: 2+1
Academic year: 2008 - 2009      
Semester: winter      
Lecturer: P. Máša   Terminated: assessement, exam

Lectures:

  1. Introduction, electrical circuit, basic circuit quantities, circuit variables and their special values and integral parameters. Characteristic quantities.
  2. Examples. Passive and active circuit elements, independent and controlled sources.
  3. Kirchhoff’s laws, linear resistive circuits, elementary analysis. Thévenin's and Norton's theorem, equivalence of passive two-terminals, superposition theorem.
  4. Power, power matching, examples of elementary analysis of linear resistive circuits.
  5. General methods of analysis of the resistive circuits (basic concept, topology, independent circuit equations, loop analysis, nodal analysis, cut-set analysis).
  6. Examples of the resistive circuit analysis (matrix notation of circuit equations).
  7. Linear circuit containing energy storing elements. Circuit equations in the time domain.
  8. Sinusoidal steady state, computation with complex numbers, phasors, complex impedances and admittances.
  9. Elementary analysis of sinusoidal steady state, phasor diagrams.
  10. Independent circuit equations in sinusoidal steady state, matrix notation.
  11. Power and power matching in sinusoidal steady state.
  12. Resonant circuits.
  13. Multi-phase voltage systems, examples.

Seminars
week Agenda
2 Introduction, connection of circuit elements.
4 Electric circuit elements – resistors, capacitors and inductors, waveforms of voltages u(t) and currents i(t) if resistors, capacitors and inductors are supplied from voltage or current source of different waveforms
[2]: Laboratory exercises 2.4 differential note.
6 Linear resistive circuits – elementary analysis
8 General methods of analysis of the resistive circuits, power
10 Complex numbers – Cartesian, polar and exponential (phasor), mathematical operations ( +, -, *, / ), phasors, complex immitances.
12 Sinusoidal steady state analysis, transfer functions, phasor diagrams. Laboratory exercise - sinusoidal steady state (instructions). Computer demo - phasors, sinusoidal steady state - (Matlab ).
14 Power in sinusoidal steady state, resonant circuits. Assessment.

References:
[1] M. Mikulec, V. Havlíček: Basic circuit theory, Vydavatelství ČVUT Praha 2000
[2] V. Havlíček, R. Čmejla: Basic circuit theory I - exercises, Vydavatelství ČVUT Praha 2002

Notes:
Lectures take place in the room number T2:A3-414.
Seminars take place every other week (even weeks) in the room number 413 (4th floor, block A3), i.e. seminars proceeds from 2nd week!

In the case of education omission from the reason of holiday, rector's day (dean's day) or all-faculty education programe modifications the programe of lectures and seminars seminars will be modified.


Conditions of graduation
  1. Seminars are compulsory.
  2. Excused absence is not replaced, reasons appreciates instructor.
  3. Students are obliged to be prepared on each exercise on the extent of previous lectures.
  4. Examination run in regular examination period only.
  5. It is necessary to obtain assessment before the exam.
Examination requirements
Fundamental is the knowledge of basic principles of electrical circuits analysis and its use with specific circuits including numerical solution within the scope of lectures agenda. It covers following topics:
  1. Basic concepts of electrical circuits, electrical devices and their models. Classification of circuits, linear and non-linear circuits, circuits with lumped elements and circuits with distributed elements.
  2. Basic circuit quantities, voltage, current and power. Classification of time functions, average value and root mean square value of the periodic variables.
  3. Circuit elements. Basic passive elements: resistor, inductor, capacitor, coupled inductors. Basic active two-terminals: independent voltage source and current source, controlled sources. Equivalence of passive two terminals and active two-terminals, source replacement, Thévenin's theorem, Northon's theorem. Delta-star transformation.
  4. Kirchhoff’s laws. Elementary analysis of linear resistive circuits (voltage divider, current divider, step by step simplification method, superposition theorem). General methods of analysis of the resistive circuits (loop analysis, nodal analysis). Power, power matching.
  5. Sinusoidal steady state in linear circuits, phasors, complex immittance, transfer function.
  6. Elementary analysis in sinusoidal steady state (voltage divider, current divider, step by step simplification method, superposition theorem, phasor diagrams). General methods of analysis in sinusoidal steady state (loop analysis, nodal analysis). Calculation of immitances and transfer functions. Power in sinusoidal steady state.
  7. Resonance, resonant circuits.
  8. Three-phase circuits: basic connection, line voltages and phase voltages, three-phase circuit analysis, phasor diagrams, power.
Sections and awarding of the examination:
The exam consist of two parts – written part and oral one. Final evaluation is based on the result of the written part. The meaning of the oral part is to disclose students with paper revision and its correctness and they eventually could discuss its evaluation. Also, in the cases, when the result of written part is near boundary marks, it is possible to clarify final evaluation. The written paper consists of four problems and one theoretical question. Overall time on elaboration is 90 minutes. Two problems are related to resistive circuits analysis and another two problems are related to sinusoidal steady state analysis. Each problem and theoretical question is awarded by 4 marks, so student can achieve 20 marks at all.

Final evaluation results from marks obtained on the written paper according to the table below:

Exam evaluation:
Marks Evaluation according to ECTS Number evaluation
18 - 20 A 1 excellent
16 - 17,5 B 1,5 very good
14 - 15,5 C 2 good
12 - 13,5 D 2,5 satisfactory
10 - 11,5 E 3 sufficient
< 10 F 4 failed

Kinds of examination problems and theoretical questions



Handouts of the lectures

Downloads

Variables.pdf Mean value, root mean square and factors - definition and computation; supplement of the first laboratory exercise (PDF, 157 kB)
RLCe.pdf Differential note for first laboratory exercise (3th week) (PDF, 91 kB)
RC.pdf Instructions for second laboratory exercise (11th week) (PDF, 88 kB)

Last change: 26.9.2008