Course detail

Dynamics of Electric Machines

FSI-RDMAcad. year: 2025/2026

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 transformer, asynchronous machine, and synchronous machine.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Radoslav Cipín, Ph.D.

Department

Department of Power Electrical and Electronic Engineering (UVEE)

Entry knowledge

Student by měl být schopen:
- vysvětlit základní zákony elektromagnetismu, řešit stejnosměrné a střídavé obvody se soustředěnými parametry a obvody magnetické,
- derivovat funkce jedné a více proměnných včetně derivací parciálních,
- integrovat funkce jedné,
- řešit přechodné děje v lineárních a nelineárních obvodech v programu MATLAB Simulink,
- vysvětlit princip činnosti a vlastnosti elektromagnetu, transformátoru, asynchronního stroje, synchronního stroje a stejnosměrného stroje.

Rules for evaluation and completion of the course

Three written tests of five points each.
Five mini projects of one point each.

Credit is conditional on achieving at least seven points from written tests and submission of five mini-projects.

The written final exam is for eighty points.

In total, it is possible to achieve one hundred points.

To pass the exam, the student must have been awarded a credit and have a total of at least fifty points.


Attendance at lectures is obligatory.
Attendance at practical training is obligatory.

Aims

Dát studentům základní znalosti z elektromechanické přeměny energie, naučit je sestavit pohybové rovnice elektromechanických soustav a ukázat možnosti jejich řešení. Seznámit studenty s problematikou matematického popisu elektrických strojů a porozumění jejich funkčnímu principu.

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

Chee-Mun Ong: Dynamic Simulation of Electric Machinery
Majmudar, H.:Elektromechanical Enargy Conversion,England Allynana Bacon
Měřička, Zoubek:Obecná teorie elektrického stroje,SNTL Praha

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N-MET-P Master's 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Radoslav Cipín, Ph.D.

Syllabus

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

26 hod., optionally

Teacher / Lecturer

doc. Ing. Radoslav Cipín, Ph.D.

Syllabus

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.