Course detail

# Electrical Engineering 2

The course deals with the basics of electrical engineering and extends the knowledge obtained in the course BPC-EL1. At the beginning of the course are discussed universal and special methods of analysis of linear circuits in harmonic steady state, including the polyphase circuits. In the next section, students learn about the characteristics of RC, RL and RLC circuits. The following part explain classical and operator method of transient solution in linear circuits, students will learn how to determine the response of the circuit to the standard and arbitrary signals. The last part of the course is theory of homogeneous transmission lines.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Learning outcomes of the course unit

After completing the course student will be able to:
- define the terms in the field of circuit analysis in HUS as a phasor, complexor, impedance, admittance, etc., and to analyze linear electrical circuits in harmonic steady state;
- list the primary and secondary line parameters and explain the propagation of waves on transmission lines in the steady state and the transient;
- explain the behavior of RLC circuits, meaning of resonance response of the circuit;
- discuss the importance of three-phase distribution systems and distinguish the concepts associated with it;
- apply the Laplace transform to solve transients in linear circuits;
- calculate the response of a linear circuit on the basic input signals.

Prerequisites

Student must for successful completion of the course manage the content of the course Electrical Engineering 1 and be able to:
- define the concepts of electrical resistance, capacitance and inductance;
- express in their own words the basic laws of electrical circuits and be able to explain the relationship between voltage and current at the fundamental elements R, L and C;
- use appropriate methods to analyze linear circuits;
- calculate the basic parameters of the time-varying signals;
- apply the methods of mathematical analysis calculations for systems of equations using matrix methods;
- use mathematics in the field of complex numbers;
- manage general calculate derivatives and integrals simple basic functions;
- calculate linear ordinary differential equations.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teachning methods include lectures, computer laboratories and practical laboratories. Course is taking advantage of e-learning (Moodle) system. Student works out lab reports.

Assesment methods and criteria linked to learning outcomes

Total number of points is 100, including 25 points in written tests in exercises, 5 points for laboratory course test and 70 points for final exam. All laboratory measurements are obligatory - to obtain examination it is necessary to measure all of laboratory exercises and to obtain 15 points from maximum 30. Requirements for completion of a course are: to gain examination and to perform a written final test. Minimal necessary achieved total mark to pass this course is 50 points.

Course curriculum

1. Harmonic variables in electric ciruits, phasors, impedances and admitances.
2. Symbolic method of linear circuit analysis in harmonic steady-state, power in harmonic steady state.
3. Method of source substitution, current loops method, node voltages method.
4. Properties of passive linear circuits of 1. order (RC, RL).
5. Properties of passive linear circuits of 2. order (RCL).
6. Three-phase circuits.
7. Power in three-phase circuits.
8. Transient processes in linear circuits of 1. and 2. order.
9. Analysis of transient processes based on Laplace transform.
10. Transient processes with non-zero initial conditions, transient and impulse response of linear circuits.
11. Transmission lines and its primary and secondary parameters.
12. Harmonic steady state on transmission lines, waves, impedance, transient processes on transmission lines.

Work placements

Not applicable.

Aims

The course develops the knowledge gained in Electrical Engineering 1 and prepares the students for following courses of specializations in electrical engineering.

Specification of controlled education, way of implementation and compensation for absences

Attendance at laboratory classes is mandatory. Properly excused absences can be substituted, usually in the last week of the semester.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

SEDLÁČEK, J.; MURINA, M.; STEINBAUER, M.; KROUTILOVÁ, E. Elektrotechnika 2 - laboratorní a počítačová cvičení. BRNO, Ing. Zdeněk Novotný, CSc., Ondráčkova 105, 628 00 Brno. 2008. p. 1 - 160. ISBN 978-80-214-3575-9. (CS)
KALÁB, P.; STEINBAUER, M.; VESELÝ, M. Bezpečnost v elektrotechnice. Brno: Ing. Zdeněk Novotný, CSc, Ondráčkova 105, 628 00 Brno, 2009. s. 1-68. ISBN: 978-80-214-3952- 8. (CS)

MIKULEC, M., HAVLÍČEK, V.:Základy teorie elektrických obvodů, ČVUT Praha 2003 (CS)

Classification of course in study plans

• Programme BPC-TLI Bachelor's 1 year of study, summer semester, compulsory
• Programme BPC-ECT Bachelor's 1 year of study, summer semester, compulsory
• Programme BPC-MET Bachelor's 1 year of study, summer semester, compulsory
• Programme BPC-AMT Bachelor's 1 year of study, summer semester, compulsory
• Programme BPC-SEE Bachelor's 1 year of study, summer semester, compulsory

• Programme BPC-AUD Bachelor's

specialization AUDB-TECH , 1 year of study, summer semester, compulsory

• Programme EEKR-CZV lifelong learning

branch EE-FLE , 1 year of study, summer semester, compulsory

#### Type of course unit

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

Harmonic quantities in electrical networks. Phasors.
Symbolic method for simulation of linear networks in harmonic steady state.
Properties of basic linear passive RC, RL networks.
Characteristics of resonance circuits LCR.
Three-phase systems.
Power in three-phase systems.
Transients in simple linear RC and RL networks.
Transients in 2nd-order networks.
Operator method for solution of transients in linear networks.
Step and impulse responses of a linear network.
Transmission lines, primary and secondary parameters.
Waves on transmission lines.
Harmonic steady state. Impedances, standing waves. Transient phenomena in transmission lines.

Computer-assisted exercise

19 hod., compulsory

Teacher / Lecturer

Syllabus

Harmonic quantities in electrical networks. Phasors.
Analysis of linear circuits using phasors.
RC, RL and RLC resonant circuits.
Power in one and three-phase systems.
Transients in simple linear RC and RL networks.
Transients in 2nd-order networks.
Operator method for solution of transients in linear networks.
Step- and impulse responses of a linear network.
Transmission lines. Primary and secondary parameters.
Examination to obtain qualification level "competent worker".

Laboratory exercise

20 hod., compulsory

Teacher / Lecturer

Syllabus

Impedances
Analysis of linear circuits in harmonic steady state
Basic properties of RC two-port
Basic properties of CR two-port
Serial resonant circuit
Parallel resonant circuit
Power in one-phase systems
Phasor diagrams
Transients in simple linear RC and RL networks
Transmission line in harmonic steady state
Transmission line in transient state
Simulation of transmission line
Simulation of electrical circuits

E-learning texts

Sedláček, J., Steinbauer, M.: Elektrotechnika 2 - pracovní sešit k přednáškám
EL2 komplet 2023.pdf 14.1 MB
Sedláček, J., Steinbauer, M.: Elektrotechnika 2 - návody k laboratorním cvičením
BPC-EL2_2022 návody k LC.pdf 2.03 MB