Course detail

# Electrical Engineering 1

The course deals with the basics of electrical engineering and in particular the theory of electrical circuits. At the beginning of the course universal and special methods of analysis of linear circuits in steady state are discussed. Next, students are introduced to the description and classification of time-varying quantities. The following part is an introduction to the analysis of nonlinear circuits using graphical and numerical methods. Another part of the course is dedicated to magnetic circuits, their description and basic methods of solutions, including circuits with permanent magnets. Important part of the course is laboratory exercises and computer exercises in which students will practice in the application of theoretical knowledge.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Learning outcomes of the course unit

After completing the course student will be able to:
- describe the characteristics of electrical circuit elements and their models,
- apply basic circuit laws in the analysis of electrical circuits,
- analyze linear and nonlinear nonconservative electric circuits,
- interpret the quantities in electriccircuits,
- interpret the quantities in magnetic circuits,
- calculate the characteristic values of the time-varying voltage and current waveforms.

Prerequisites

The subject knowledge on the secondary school level is required. In the range of the used mathematical tools students should be able to:
- editing mathematical expressions;
- explain the procedure of mathematical function examination in order to find extremes;
- calculate the solution of simple linear equations ;
- apply the basics of matrix calculus;
- calculate the derivative, definite and indefinite integrals of simple linear functions of one variable and basic trigonometric functions.

Work in the laboratory is subject to a valid "instructed person" qualification, which students must obtain before starting the course. Information on this qualification is provided in the Dean's Guideline on Student Familiarity with Safety Regulations.

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 in the workbook (available in print and electronic form).

Assesment methods and criteria linked to learning outcomes

Total number of points is 100, including 25 points in two written tests in exercises, 5 points in laboratory tasks test and 70 points in final exam. All laboratory measurements are obligatory - to obtain examination it is necessary to measure all of laboratory exercises and to obtain 15 from maximum 30 points. Requirements for completion of a course are: to gain examination and to perform a final written test. Minimal necessary achieved total mark to pass this course is 50 points. If two or more examples are evaluated at 0 points in the final exam, the overall point result of the exam is zero.

Course curriculum

1. Introduction to electrical engineering.
2. Maxwell equations, laws of electric circuits.
3. Passive and active circuit elements, models.
4. Special methods of analyze of electric circuits (simplification method, superposition, transfiguration, method of source substitution), work and power of electric energy, power matching.
5. Universal methods of analyze of electric circuits (Kirchhoff’s laws, current loops method).
6. Node voltages method, modified node voltages method.
7. Method of source substitution (Thèvenin and Norton theorems).
8. Time variables (classification, characteristic values: maximal, average, rms).
9. Nonlinear circuits - approximation of characteristics of components.
10. Analysis of nonlinear circuits - analytic, graphical, and numerical solution.
11. Magnetic circuits (basic variables and laws, analogy between magnetic and electric circuit, induction, analysis and synthesis of magnetic circuits with coil).
12. Circuits with permanent magnet, force of electromagnet, transformers.

Work placements

Not applicable.

Aims

The aim of the course is to provide basic knowledge of electrical circuit theory required as a broader basis for further study. The course prepares students for the following courses in electrical engineering specializations.

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

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

BRANČÍK, L. Elektrotechnika 1. Elektrotechnika 1. Brno: FEKT VUT v Brně, 2004. s. 1 ( s.)ISBN: 80-214-2607- 1. (CS)
STEINBAUER, M.; KALÁB, P. Bezpečnost v elektrotechnice - pracovní sešit. Brno: CERM Brno, 2007. s. 1-41. (CS)
SEDLÁČEK, J.; STEINBAUER, M.; MURINA, M. Elektrotechnika 1 (BEL1) - laboratorní a počítačová cvičení. Brno: Ing. Zdeněk Novotný, CSc., Ondráčkova 105, 628 00 Brno, 2008. s. 1 ( s.)ISBN: 978-80-214-3706- 7. (CS)
SEDLÁČEK, J.; STEINBAUER, M. Elektrotechnika 1 (BEL1) - pracovní sešit. Brno: akademické nakladatelství CERM, s.r.o. Brno, 2008. s. 1 ( s.)ISBN: 978-80-214-3707- 4. (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)

VALSA, J., SEDLÁČEK, J.: Teoretická elektrotechnika I. Skriptum VUT v Brně, 1997. (CS)
MIKULEC, M., HAVLÍČEK, V.: Základy teorie elektrických obvodů. Skriptum ČVUT v Praze, 1997. (CS)
WALECKA, J. D. Introduction to Electricity and Magnetism. World Scientific, 2018. (CS)
NAGSARKAR, T. J., SUKHIJA, M. S. Basic Electrical Engineering. 2nd edition. Oxford University Press, 2011.
EGUL, O. Introduction to Electrical Circuit Analysis. Wiley, 2017.
JILES, D.Introduction to magnetism and magnetic materials. CRC press. 2015.

Elearning

Classification of course in study plans

• Programme BPC-AUD Bachelor's

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

• Programme BPC-ECT Bachelor's 1 year of study, winter semester, compulsory
• Programme BPC-IBE Bachelor's 3 year of study, winter semester, compulsory-optional
• Programme BPC-MET Bachelor's 1 year of study, winter semester, compulsory
• Programme BPC-SEE Bachelor's 1 year of study, winter semester, compulsory
• Programme BPC-TLI Bachelor's 1 year of study, winter semester, compulsory
• Programme BPC-AMT Bachelor's 1 year of study, winter semester, compulsory

#### Type of course unit

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

Qualification in electrical engineering, service and work on electrical devices, instructions for movable supplies and flex lines
Safety instructions for service and work on electrical devices, protection against electrical current injury
Basic quantities and laws in electrical circuits
Basic circuit elements and their models
Power in electrical circuit, power matching
Superposition theorem, simplification method, method of proportional quantities, transfiguration
Direct application of Kirchhoff's laws
Loop current analysis
Nodal voltage analysis
Thévenin and Norton theorems, utilization of circuit duality and reciprocity
Magnetic circuits - basic quantities and laws
Magnetic circuits under alternating magnetization, transformers
Introduction to time-varying currents

Laboratory exercise

13 hod., compulsory

Teacher / Lecturer

Syllabus

Basic concepts and terminology for electrical devices.
Wires and clamps marking, types of distribute mains, the first help at electrical current injury.
Test from safety instructions according to the notice No. 50/1978.
REAL SOURCE PARAMETERS MEASUREMENT.
KIRCHHOFF'S LAWS IN ELECTRICAL CIRCUITS AND PROPORTIONAL QUANTITIES METHOD.
METHOD OF SUBSTITUTIONAL SOURCE.
NODE VOLTAGES METHOD.
LOOP CURRENTS METHOD.
PRINCIPLE OF SUPERPOSITION.
POWER TRANSMISSION AND POWER MATCHING.
MAGNETIC FIELD IN AIR GAPE.

Computer-assisted exercise

13 hod., compulsory

Teacher / Lecturer

Syllabus

Basic concepts and terminology for electrical devices.
Wires and clamps marking, types of distribute mains, the first help at electrical current injury.
Test from safety instructions according to the notice No. 50/1978.
Basic circuit elements and their models.
Average and root-mean-square values of alternating current.
Power and power matching.
Superposition theorem, circuit duality and reciprocity.
Simplification method, method of proportional quantities.
Application of Kirchhoff's laws in electrical circuits.
Loop analysis method, nodal analysis method.
Thévenin and Norton theorems.
Basic quantities and units of magnetic circuits.
Methods of analysis of magnetic circuits.

E-learning texts

Sedláček, J., Steinbauer, M.: Elektrotechnika 1 - návody k laboratorním cvičením
BPC-EL1_LC_2024.pdf 0.95 MB
Sedláček, J., Steinbauer, M.: Elektrotechnika 1 - sbírka příkladů