# Electrical Machine Modelling

## Course description

The fundamental electromagnetic laws used in electrical machines. Energy in a magnetic fields, force and torque. The electromagnetic properties of materials used in electrical machines.

The analogy between magnetic circuits and electrical circuits.

Electromagnetic principles and definition of transformers circuit models, commutator machines models, synchronous machines models, electronically commutated machines models and induction machines models based on the analogy between magnetic circuits and electrical circuits. Steady state operation analysis of electric machine by means of circuit models.

Unified theory of electrical machinery and principles of models transformation.

Transformation of synchronous machine, electronically commutated machine and induction machine models in to the models developed on the basis of the unified theory of electrical machines. Addressing the steady state and transient conditions of analyzed electrical machines described within the unified theory of electrical machines.

Control principles of synchronous machines, electronically commutated machines and induction machines.

## Objectives and competences

The aim of this course is to gain an in-depth theoretical and functional understanding of electric machines operation. To qualify the student for independent synthesis and analysis of electrical machines circuit models and to address stationary and transient electromagnetic states of electric machines. Ability to determine the values ​​of the elements of circuit models based on electromechanical testing of electrical machines. Conquered depth knowledge of the theory of electrical machines will enable the design of electrical machines, electrical machines integration in the control systems and the use of electrical machines in mechatronic systems and electric energy conversion.

## Learning and teaching methods

Lectures and laboratory work. As an option it is possible to include the students in the projects carried out in the Laboratory of electrical machines.

The course consists of 45 hours of lectures and 30 hours of laboratory exercises with heightened risk.

## Intended learning outcomes

After successful completion of the course, students should be able to:

– describe the basic principles of operation of electrical machines,

– treat electrical machines in the form of model circuits,

– calculate parameters of model circuits of electrical machines,

-analyze the stationary and transient electromechanical states of the electric machine.

-calculate the performance of electrical machines based on electro-mechanical tests,

-propose the circuit model of the analysed electrical machines.

## Reference nosilca

1. VUKOTIĆ, Mario, MILJAVEC, Damijan. Design of a permanent-magnet flux-modulated machine with a high torque density and high power factor. IET electric power applications, ISSN 1751-8660, 2016, vol. 10, iss. 1, str. 36-44.

2. VIDMAR, Gregor, MILJAVEC, Damijan. A universal high-frequency three-phase electric-motor model suitable for the delta and star winding connections. IEEE transactions on power electronics, ISSN 0885-8993, Aug. 2015, vol. 30, no. 8, str. 4365-4376.

3. VIDMAR, Gregor, MILJAVEC, Damijan, AGREŽ, Dušan. Measurement and evaluation of EDM bearing currents by the normalized Joule integral. Measurement science & technology, ISSN 0957-0233, 2014, vol. 25, no. 7, str. 1-10.

4. GOTOVAC, Gorazd, LAMPIČ, Gorazd, MILJAVEC, Damijan. Analytical model of permeance variation losses in permanent magnets of the multipole synchronous machine. IEEE transactions on magnetics, ISSN 0018-9464, Feb. 2013, vol. 49, no. 2, str. 921-928.

5. JEREB, Peter, MILJAVEC, Damijan. Vezna teorija električnih strojev. 1. izd. Ljubljana: Fakulteta za elektrotehniko, 2009.

## Study materials

1. JEREB, Peter, MILJAVEC, Damijan. Vezna teorija električnih strojev. 1. izd. Ljubljana: Fakulteta za elektrotehniko, 2009.

2. Jacek F. Gieras, Advancements in Electric Machines, Springer, 2009.

3. Ion Boldea, Lucian Nicolae Tutelea, Electric Machines: Steady State, Transients, and Design with MATLAB, CRC Press, 2009.

4. P. S. Bimbhra: Generalized Theory of Electric Machinery, Khanna Publishers, Delhi, 2004.

5. Damijan Miljavec, Peter Jereb: Električni stroji – temeljna znanja, Ljubljana, 2009.

## Bodi na tekočem

Univerza v Ljubljani, Fakulteta za elektrotehniko, Tržaška cesta 25, 1000 Ljubljana