Course detail

# Theory of Electrical Machines

FEKT-MPC-TESAcad. year: 2020/2021

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.

Supervisor

Learning outcomes of the course unit

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.

Prerequisites

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.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

HERBERT H. WOODSON a JAMES R. MELCHER., 1968. Electromechanical dynamics. New York: Wiley. ISBN 04-719-5985-5. (EN)

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)

PAUL KRAUSE, Oleg Wasynczuk, 2012. Analysis of electric machinery and drive systems. 3. ed. Hoboken, N.J: Wiley. ISBN 11-180-2429-X. (EN)

PATOČKA, Miroslav, 2011. Magnetické jevy a obvody ve výkonové elektronice, měřicí technice a silnoproudé elektrotechnice. V Brně: VUTIUM, 564 s. ISBN 978-80-214-4003-6. (CS)

SUDHOFF, Scott D. Power magnetic devices: a multi-objective design approach. Hoboken, New Jersey: John Wiley & Sons, [2014]. ISBN 9781118489994. (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Requirements for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every. Evaluated are control tests and oral exam with writen preliminary

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

Lectures:

1. Introduction to electromagnetic circuits.

2. A static set of two or more coils, a mathematical model of a transformer.

3. Equivalent circuits of the transformer and their transformations. Identification of electrical parameters.

4. Generation of force and torque in electromagnetic circuits, a mathematical model of an electromagnet.

5. Moving set of two or more coils, a mathematical model of a resolver.

6. A mathematical model of a DC machine.

7. A mathematical model of an induction machine in natural coordinates.

8. Transformation of coordinates.

9. A mathematical model of an induction machine in general rotating coordinates.

10. Analysis of the steady-state and dynamic operation of the induction machine.

11. A mathematical model of a synchronous induction

12. Analysis of the steady-state and dynamic operation of the synchronous machine.

13. A mathematical model of a reluctant machine.

Numerical and computer exercises

1. Calculations of electromagnetic circuits.

2. Measurement and simulation of the transformer.

3. Calculation and simulation of the electromagnet.

4. Simulation of the resolver.

5. Simulation of the induction machine.

6. Simulation of the synchronous machine.

7. Simulation of the reluctant machine.

Aims

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.

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.

#### Type of course unit

eLearning

**eLearning:** currently opened course