### Popis predmeta

#### Course Description

Magnetic field and MMF in the air-gap. Windings of AC machines. Types, main parts, basic construction and applications of brushless synchronous machines. Mathematical model, equivalent circuit and phasor diagram of synchronous permanent magnet machines and synchronous reluctance machines. Inverter-fed of brushless synchronous machines in constant torque and flux-weakening mode. Types, main parts, basic construction and applications of induction machines. Complex mathematical model, equivalent circuit and phasor diagram of induction machine. No-load, short circuit and load conditions. Inverter-fed operation of induction machine. Temporal and spatial harmonics in induction machines. Single phase induction machine. Generators for small hydropower and wind power applications.

#### Learning Outcomes

1. Describe the main parts of induction machines and brushless synchronous machines
2. Derive and explain equations describing basic physical models of induction machines and brushless synchronous machines
3. Apply physical models to analyze the inverter-fed induction machines and brushless synchronous machines
4. Apply theoretical knowledge in laboratory conditions

#### Forms of Teaching

Lectures

classical lectures using blackboard in combination with PowerPoint slides

Exercises

solving numerical examples related to the content of the lectures

Partial e-learning

posting study materials and communicating with students through the course website. Moodle quizzes for self-study.

Field work

a visit to factories which produce and test electrical machines

Laboratory

laboratory exercises using electrical machines, and accompanying power supply and measuring equipment for the purpose of practical demonstration and confirmation of the acquired theoretical knowledge

Continuous Assessment Exam
Laboratory Exercises 50 % 15 % 50 % 15 %
Mid Term Exam: Written 40 % 30 % 0 %
Final Exam: Written 40 % 30 %
Final Exam: Oral 25 %
Exam: Written 50 % 60 %
Exam: Oral 25 %

#### Week by Week Schedule

1. Energy balance in electromechanical systems.
2. Linear current density and MMF. AC and polyphase MMF.
3. Torque and induced voltage of an AC machine. Two-axis theory of electrical machines. Space vectors and coordinate transformation.
4. Basic principle of operation and construction of permanent magnet synchronous motors.
5. Phasor diagram for SPM and IPM motors.
6. Operating characteristics of permanent magnet synchronous motors.
7. Testing of permanent magnet synchronous motors. A machine with permanent magnets as a traction motor.
8. Midterm exam
9. Synchronous reluctance motor.
10. Generalized induction machine equivalent circuit for steady state.
11. Space and current harmonic effects in induction machines, synchronous and asynchronous harmonic torque components.
12. Effect of slot skew, radial forces, noise and vibration.
13. Induction generators (squirrel-cage, doubly-fed). Single-phase induction motors.
14. Induction machine production technology. Testing of induction motors. Influence of power converter.
15. Final exam

#### Study Programmes

Audio Technologies and Electroacoustics (profile)
Free Elective Courses (1. semester) (3. semester)
Communication and Space Technologies (profile)
Free Elective Courses (1. semester) (3. semester)
Computational Modelling in Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Science (profile)
Free Elective Courses (1. semester) (3. semester)
Control Systems and Robotics (profile)
Free Elective Courses (1. semester) (3. semester)
Data Science (profile)
Free Elective Courses (1. semester) (3. semester)
Electrical Power Engineering (profile)
Elective Courses of the Profile (1. semester) (3. semester)
Electric Machines, Drives and Automation (profile)
(1. semester)
Electronic and Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electronics (profile)
Free Elective Courses (1. semester) (3. semester)
Information and Communication Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Network Science (profile)
Free Elective Courses (1. semester) (3. semester)
Software Engineering and Information Systems (profile)
Free Elective Courses (1. semester) (3. semester)

#### Literature

Radenko Wolf (1995.), Osnove električnih strojeva, Školska knjiga, Zagreb
J. R. Hendershot, T.J. E. Miller (2010.), Design of Brushless Permanent-magnet Machines,
S. Umans, A. Fitzgerald, C. Kingsley (2014.), Electric Machinery, McGraw-Hill Companies
Ion Boldea, Syed A. Nasar (2001.), The Induction Machine Handbook, CRC Press

#### General

ID 222779
Winter semester
5 ECTS
L1 English Level
L1 e-Learning
45 Lectures
15 Exercises
13 Laboratory exercises

85 Excellent
70 Very Good
60 Good
50 Acceptable

#### Learning Outcomes

1. Describe the main parts of induction machines and brushless synchronous machines
2. Derive and explain equations describing basic physical models of induction machines and brushless synchronous machines
3. Apply physical models to analyze the inverter-fed induction machines and brushless synchronous machines
4. Apply theoretical knowledge in laboratory conditions

#### Forms of Teaching

Lectures

classical lectures using blackboard in combination with PowerPoint slides

Exercises

solving numerical examples related to the content of the lectures

Partial e-learning

posting study materials and communicating with students through the course website. Moodle quizzes for self-study.

Field work

a visit to factories which produce and test electrical machines

Laboratory

laboratory exercises using electrical machines, and accompanying power supply and measuring equipment for the purpose of practical demonstration and confirmation of the acquired theoretical knowledge

Continuous Assessment Exam
Laboratory Exercises 50 % 15 % 50 % 15 %
Mid Term Exam: Written 40 % 30 % 0 %
Final Exam: Written 40 % 30 %
Final Exam: Oral 25 %
Exam: Written 50 % 60 %
Exam: Oral 25 %

#### Week by Week Schedule

1. Energy balance in electromechanical systems.
2. Linear current density and MMF. AC and polyphase MMF.
3. Torque and induced voltage of an AC machine. Two-axis theory of electrical machines. Space vectors and coordinate transformation.
4. Basic principle of operation and construction of permanent magnet synchronous motors.
5. Phasor diagram for SPM and IPM motors.
6. Operating characteristics of permanent magnet synchronous motors.
7. Testing of permanent magnet synchronous motors. A machine with permanent magnets as a traction motor.
8. Midterm exam
9. Synchronous reluctance motor.
10. Generalized induction machine equivalent circuit for steady state.
11. Space and current harmonic effects in induction machines, synchronous and asynchronous harmonic torque components.
12. Effect of slot skew, radial forces, noise and vibration.
13. Induction generators (squirrel-cage, doubly-fed). Single-phase induction motors.
14. Induction machine production technology. Testing of induction motors. Influence of power converter.
15. Final exam

#### Study Programmes

Audio Technologies and Electroacoustics (profile)
Free Elective Courses (1. semester) (3. semester)
Communication and Space Technologies (profile)
Free Elective Courses (1. semester) (3. semester)
Computational Modelling in Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Science (profile)
Free Elective Courses (1. semester) (3. semester)
Control Systems and Robotics (profile)
Free Elective Courses (1. semester) (3. semester)
Data Science (profile)
Free Elective Courses (1. semester) (3. semester)
Electrical Power Engineering (profile)
Elective Courses of the Profile (1. semester) (3. semester)
Electric Machines, Drives and Automation (profile)
(1. semester)
Electronic and Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electronics (profile)
Free Elective Courses (1. semester) (3. semester)
Information and Communication Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Network Science (profile)
Free Elective Courses (1. semester) (3. semester)
Software Engineering and Information Systems (profile)
Free Elective Courses (1. semester) (3. semester)

#### Literature

Radenko Wolf (1995.), Osnove električnih strojeva, Školska knjiga, Zagreb
J. R. Hendershot, T.J. E. Miller (2010.), Design of Brushless Permanent-magnet Machines,
S. Umans, A. Fitzgerald, C. Kingsley (2014.), Electric Machinery, McGraw-Hill Companies
Ion Boldea, Syed A. Nasar (2001.), The Induction Machine Handbook, CRC Press

#### General

ID 222779
Winter semester
5 ECTS
L1 English Level
L1 e-Learning
45 Lectures
15 Exercises
13 Laboratory exercises