Course detail

Theory of Electrical Machines

FEKT-MPA-TESAcad. year: 2023/2024

Basic concepts of electromechanical energy conversion. Electromechanical systems with multiple exciting coils, with linear and rotary motion, dynamic equations of the electromechanical system. The mathematical models of asynchronous machine, synchronous machine, and reluctant machine.

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.

Entry knowledge

Student should have been able to:
- explain electromagnetic basic principles, solve DC, AC electric circuits with lumped parameters and magnetic circuits,
- differentiate functions of one and more variables,
- integrate functions of one and more variables,
- solve transients in linear and nonlinear circuits using Matlab Similink,
- explain principle of operation and properties of electromagnets, transformers, induction, synchronous and DC machines.

Rules for evaluation and completion of the course

Evaluated are control tests and oral exam with writen preliminary
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.


The students will get the basic knowledge of electromechanical energy conversion, the knowledge of how to set dynamic equations of electromechanical systems and how to solve these equations on PC. The students will be acquainted with the general theory of electrical machines.
Subject graduate should have been able:
- explain principle of electromechanical energy conversion
- derive expression of force and torque in linear and nonlinear system with linear and rotary movement and solve simple exaples,
- form dynamic equations of any electromagnetic system,
- form dynamic equations of an induction and a synchronolus machine
- describe and explain general theory of electric machines and form dynamic equations,
- explain transformation of coordinates,
- form dynamic equations of induction, synchronous and DC machines and solve electric machines transients using Matlab Simulink.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

HERBERT H. WOODSON a JAMES R. MELCHER., 1968. Electromechanical dynamics. New York: Wiley. ISBN 04-719-5985-5. (EN)
Krause Paul, Wasynczuk Oleg, Analysis of Electric Machinery and Drive Systems, Third Edition, ISBN 9781118024294 (EN)
John Chiasson, Modeling and High Performance Control of Electric Machines, ISBN 9780471684497 (EN)
Scott D. Sudhoff, Power Magnetic Devices: A Multi-Objective Design Approach, ISBN 978-1-118-48999-4 (EN)
Hrabovcová,Rafajdus,Franko,Hudák, Meranie a modelovanie elektrických strojov, ISBN 978-80-554-0852 (EN)

Recommended reading

ONG, Chee-Mun., 1998. Dynamic simulation of electric machinery: using MATLAB/SIMULINK. 1. Upper Saddle River, N.J.: Prentice Hall PTR. ISBN 01-372-3785-5. (EN)

Classification of course in study plans

  • Programme MPA-EEN Master's, 2. year of study, winter semester, compulsory-optional

Type of course unit



39 hours, optionally

Teacher / Lecturer


1. Introduction to electromagnetic circuits.
2. Static system of two and more coils, mathematical model of transformer.
3. Equivalent circuits of the transformer and their transformations. Identification of electrical parameters.
4. Three-phase transformer.
5. Coordinate transformation.
6. Formation of force and moment in electromagnetic circuits, mathematical model of electromagnet.
7. Moving system of two or more coils, mathematical model of resolver.
8. Mathematical model of a rotary transformer.
9. Mathematical model of a DC machine.
10. Mathematical model of asynchronous machine in natural coordinates.
11. Mathematical model of an asynchronous machine in general rotating coordinates.
12. Mathematical model of a synchronous machine.
13. Analysis of steady and dynamic machine operation. 

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer


1. Calculations and simulations of electromagnetic circuits.
2. Calculations and simulations of electromagnetic circuits.
3. Calculations and simulations of electromagnetic circuits.
4. Transformer simulation.
5. Simulation of a three-phase transformer.
6. Coordinate transformation.
7. Calculations and simulation of electromagnet.
8. Simulation of rotary transformer.
9. Simulation of resolver.
10. DC machine simulation.
11. Simulation of asynchronous machine.
12. Simulation of asynchronous machine.
13. Synchronous machine simulation.