Course detail

Theory of Electrical Machines

FEKT-MPA-TESAcad. year: 2021/2022

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

English

Number of ECTS credits

6

Mode of study

Not applicable.

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.

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

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.

Work placements

Not applicable.

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.

Recommended optional programme components

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

 

Lecture

39 hours, optionally

Teacher / Lecturer

Syllabus

Basic laws of electromechanical energy conversion. Laws of conservation of energy.
Energy and coenergy as state function. Systems with one and/or more excitation coils.
Dynamic equations of an electromechanical system.
Lagrange equations, Hamiltons principle of motion.
General electric machine and its equations.
DC machine as a general electric machine.
Transformation of coordinates. General view.
Synchronous machine. Mathematical expression of self and mutual inductances.
Transformation of coordinates: a,b,c to d,q,0; reverse transformation.
Dynamic equations of synchronous machine in transformed coordinates. Transients in the system electrical machine and mains.
Transformation of coordinates of an induction machine. Mathematical model in arbitrary rotating q,d,0 coordinates.
Modelling in steady state and in transient regime.
Mathematical model and simulation of transformer.

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer

Syllabus

Simulation software DYNAST. Basic instruction. Principle of electric circuit solutions.
Computer programme for differential equation solution. Simulation of DC motor transients.
Simulation of DC shunt motor transients. Nonlinearity of magnetic circuit influence.
Dynamic equation of electromagnet. Electromagnet supplied from DC and/or AC source. Electromagnet supplied from rectifier.
Individual project.
Individual project.
Dynamic simulation of synchronous machine.
Dynamic simulation of a system synchronous machine and transmission line.
Individual project.
Dynamic simulation of induction machine in real coordinates a,b,c.
Dynamic simulation of induction machine in d,q,0 coordinates.
Individual project.
Evaluation