Course detail
Theory of Electrical Machines
FEKT-MPC-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
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
- 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
- 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
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
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 final exam is for eighty points, the written part for twenty, and the oral part for fifty 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.
Course curriculum
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
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
T. A. Lipo, Analysis of Synchronous Machines, ISBN 9781138073074 (EN)
Valéria Hrabovcová. Pavol Rafajdus, Pavol Makyš, Analýza elektrických strojov, ISBN 978-80-554-1323-5 (SK)
Recommended reading
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)
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
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
Teacher / Lecturer
Syllabus
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
Elearning