Course detail

Electrical Machines

FEKT-BPC-ELMAcad. year: 2023/2024

1) Seminar - introduction
2) Electromechanical energy conversion
3) Transformers - theory, equivalent circuit diagram
4) Transformers - transformer tests, working conditions
5) Induction machines - theory, princip of operation
6) Induction machines - equivalent circuit diagram
7) Induction machines - torque equations, working conditions
8) Synchronous machines - princip of operation, equivalent circuit diagram
9) Synchronous machines - working charakteristics, cooperation with grid
10) DC machines - principle of operation, basic equations
11) DC machines - equivalent circuit diagram, working conditions
12) Seminar
13) Seminar

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.

Entry knowledge

Student should have been able to:
-explain and define basic terms magnetic field, electric field, magnetic field, circuits with lumped and distributed parameters,
- solve DC, AC and magnetic circuits,
- solve three phase AC circuits,
- define the terms work and energy,
- describe and explain basic properties soft and hard magnetic materials.

Rules for evaluation and completion of the course

Independent activities - 18 points

Control test - 12 points

Oral exam - 70 points 



To acquaint the students with the principle of operation and performance of transformers, induction machines, DC machines and synchronous machines. The theoretical knowledge is verified in laboratory exercises
Subject graduate should have been able:
- describe main parts of electric machines,
- know classes of insulation and electrical machines costruction,
- describe construction of transformer,
- explain transformer losses,
- understand and explain single and multiphase transformer operation,
- calculate parameters of transformer equivalent circuit from no-load and short – circuit tests,
- draw and explain phasor diagrams of transformer at no load, at short circuit and generally loaded.
- transformer winding connection and phasor diagram for different hour angle,
- explain and calculate transformer voltage regulation,
- describe and explain construction and principle of operation of induction machine with wound rotor and with squirrel cage,
- describe revolving magnetic field generation,
- define basic kinds of AC machine windings,
- sketch curve of magnetic field of AC winding distributed in more slots,
- draw equivalent induction machine circuit diagram, derive torque equation and draw torque - speed characteristic ,
- describe connection of induction motor into public utility network and speed control,
- describe construction and principle of operation of single phase induction motor,
- describe principle operation and construction of nonsalient synchronous machine,
- draw simplified circuit diagram, derive torque equation and draw phasor diagram,
- explain synchronous generator operation with isolated load and with public utility network, use phasor diagram for explanation,
- explain synchronous compensator principle of operation,
- describe DC machine construction and principle of operation,
- describe basic types of DC machine windings,
- derive torque and induced voltage equations,
- explain properties of DC motors and generators,
- describe construction and explain principle of operation of AC single phase commutator machines.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Jacek F. Gieras. Electrical Machines : Fundamentals of Electromechanical Energy Conversion. CRC Press. 2020. ISBN13 9780367736941 Electrical Machines : Fundamentals of Electromechanical Energy Conversion. (EN)
Jan A. Melkebeek. Electrical Machines and Drives : Fundamentals and Advanced Modelling. Springer International Publishing AG. 2018. ISBN13 9783319892030 (EN)
FITZGERALD a KINGSLEY. Electric Machinery. McGraw-Hill, 2014. ISBN13: 9780073380469
O'KELLY. Performance and Control of Electrical Machines. McGraw-Hill, 1990. ISBN13‏: ‎9780077072384
MĚŘIČKA, HAMATA, VOŽENÍLEK. Elektrické stroje. Praha: ČVUT, 2000. ISBN: 80-01-02109-2

Recommended reading

Not applicable.


Classification of course in study plans

  • Programme BPC-APE Bachelor's, 2. year of study, summer semester, compulsory

  • Programme AJEI-H Bachelor's

    branch H-AEI , 2. year of study, summer semester, compulsory

Type of course unit



13 hours, optionally

Teacher / Lecturer


1. Introduction and familiarisation with the organisation of the course
2. Magnetism - repetition of the basic theory
3. Transformer - principle of operation
4. Transformer - construction and operating characteristics
5. Rotating magnetic field - principle of formation and importance in electrical machines
6. AC machine windings - design and basic concepts
7. Induction machine - principle of operation
8. Induction machine - design and operating characteristics
9. Synchronous machine - principle of operation of synchronous machine with wound rotor
10. Synchronous machine - design and operating characteristics
11. Synchronous machine - principle of operation of a permanent magnet synchronous machine
12. DC machine - principle of operation, construction and operating characteristics
13. Electric machines in the electrification of transport - an overview of modern trends. 


Fundamentals seminar

13 hours, compulsory

Teacher / Lecturer


1. Introduction and familiarisation with the organisation of the training exercise
2.  Presentation of individual activities 1 - Transformers
3.  Laboratory 1 - Transformers
4.  Presentation of independent activities 2 - Transformers
5.  Numerical exercise 1 - Magnetic circuits and transformers.
6.  Presentation of independent activities 3 - Asynchronous machines.
7.  Presentation of independent activities 4 - Asynchronous machines.
8.  Numerical exercise 2 - Asynchronous machines
9.   Laboratory 2 - Asynchronous and synchronous machines
10. Numerical exercise 3 - Synchronous machines
11. Presentation of independent activities 5 - Synchronous machines.
12. Presentation of independent activities 6 - Synchronous machines.
13. Control test