Knowledge and comprehension ability. To understand the fundamentals of electric machine operation, with special regard to transformers, motors and generators. To know the procedures for the mathematical modeling and numerical simulation of electric machines. To know the basics of electric machine construction and applications.
Applied knowledge and comprehension abilities. To be able to model and simulate electric machine operation in static and dynamic conditions. To be able to understand technical documentation related to electric machines.
Autonomy of judgement. To be able to apply the learnt knowledge and competences to critically the models used for electric machine mathematical representation.
Communication skills. To learn the basic vocabulary to describe electric machines and their models.
Learning skills. To be able to evaluate the data and information needed for electric machine modeling.

Basic concepts of electromagnetics.

1. BASICS OF ELECTROMAGNETIC THEORY
Ohm laws. Ampere circuit theorem. Faraday-Lenz law. Hopkinson law. Self and mutual inductance. Magnetic energy. Electrodynamic forces. Electromagnetic torque.
2. BASICS
Conductors. Dielectrics. Ferromagnetic materials. Permanent magnets. Ferromagnetic laminated cores. Magnetic saturation. Magnetic hysteresis. Core losses.
Single-layer and dual-layer distributed windings. Single-layer and dual-layer concentrated windings. Coils, turns, parallel paths.
3. TRANSFORMERS
3.1. Construction and ratings
3.2. Single-phase transformer mathematical model
3.3. Three-phase trasformer mathemcatical model
3.4. No-load and short-circuit operation. Parameter measurement.
3.5. On load operation, losses and efficiency.
3.6. Transformers in power systems.
4. DC MACHINES
4.1. Construction and ratings
4.2. Armature, field, compensating windings and auxiliary poles
4.3. No-load and on-load magnetic fields
4.4. Commutation transients
4.5. Dynamic equations
4.6. Static equations
4.7. Characteristic curves
5. ROTATING FIELD EQUATIONS
5.1. Magnetic fields generated by a three-phase winding
5.2. Flux linkages and electromotive forces
5.3. Clark transformation
5.4. Park transformation
6. INDUCTION MACHINES
6.1. Construction and operating principle. Ratings
6.2. Dynamic equations in phase variables
6.3. Dynamic equations in transformed variables and equivalent circuit
6.4. Models for dynamic simulations
6.5. Static equations and steady-state equivalent circuit
6.6. Characteristic curves at steady state
7. WOUND-FIELD SYNCHRONOUS MACHINES
7.1. Construction and operating principle. Ratings.
7.2. Dynamic equations in phase variables
7.3. Dynamic equations in transformed variables and equivalent circuit
7.4. Dynamic simulation models
7.5. Static equations and phasor diagrams
7.6. Steady-state operating characteristics
8 PERMANENT MAGNET MACHINES
8.1. Construction and operating principle. Ratings.
8.2. No-load magnetic field. Inductances
8.3. Dynamic equations in phase variables
8.4. Dynamic equations in transformed variables and equivalent circuit
8.5. Dynamic simulation models
9. RELUCTANCE MACHINES
9.1. Construction and operating principle. Ratings
9.2. Inductances. Permanent-magnet assisted reluctance machines
9.3. Dynamic equations in phase variables
9.4. Dynamic equations in transformed variables and equivalent circuit
9.5. Dynamic simulation model
10. SPECIAL ELECTRIC MACHINES
10.1. Stepper motors
10.2. Switched reluctance machines
10.3. Doubly-fed machines
10.4. Linear machines
10.5. Electric actuators

Slides shown during lessons are made available to the students individually before classes. Slides are designed in the form of text-book suitable for individual study.

1. BASICS OF ELECTROMAGNETIC THEORY
Ohm laws. Ampere circuit theorem. Faraday-Lenz law. Hopkinson law. Self and mutual inductance. Magnetic energy. Electrodynamic forces. Electromagnetic torque.
2. BASICS
Conductors. Dielectrics. Ferromagnetic materials. Permanent magnets. Ferromagnetic laminated cores. Magnetic saturation. Magnetic hysteresis. Core losses.
Single-layer and dual-layer distributed windings. Single-layer and dual-layer concentrated windings. Coils, turns, parallel paths.
3. TRANSFORMERS
3.1. Construction and ratings
3.2. Single-phase transformer mathematical model
3.3. Three-phase trasformer mathemcatical model
3.4. No-load and short-circuit operation. Parameter measurement.
3.5. On load operation, losses and efficiency.
3.6. Transformers in power systems.
4. DC MACHINES
4.1. Construction and ratings
4.2. Armature, field, compensating windings and auxiliary poles
4.3. No-load and on-load magnetic fields
4.4. Commutation transients
4.5. Dynamic equations
4.6. Static equations
4.7. Characteristic curves
5. ROTATING FIELD EQUATIONS
5.1. Magnetic fields generated by a three-phase winding
5.2. Flux linkages and electromotive forces
5.3. Clark transformation
5.4. Park transformation
6. INDUCTION MACHINES
6.1. Construction and operating principle. Ratings
6.2. Dynamic equations in phase variables
6.3. Dynamic equations in transformed variables and equivalent circuit
6.4. Models for dynamic simulations
6.5. Static equations and steady-state equivalent circuit
6.6. Characteristic curves at steady state
7. WOUND-FIELD SYNCHRONOUS MACHINES
7.1. Construction and operating principle. Ratings.
7.2. Dynamic equations in phase variables
7.3. Dynamic equations in transformed variables and equivalent circuit
7.4. Dynamic simulation models
7.5. Static equations and phasor diagrams
7.6. Steady-state operating characteristics
8 PERMANENT MAGNET MACHINES
8.1. Construction and operating principle. Ratings.
8.2. No-load magnetic field. Inductances
8.3. Dynamic equations in phase variables
8.4. Dynamic equations in transformed variables and equivalent circuit
8.5. Dynamic simulation models
9. RELUCTANCE MACHINES
9.1. Construction and operating principle. Ratings
9.2. Inductances. Permanent-magnet assisted reluctance machines
9.3. Dynamic equations in phase variables
9.4. Dynamic equations in transformed variables and equivalent circuit
9.5. Dynamic simulation model
10. SPECIAL ELECTRIC MACHINES
10.1. Stepper motors
10.2. Switched reluctance machines
10.3. Doubly-fed machines
10.4. Linear machines
10.5. Electric actuators

Theory classes
Finite element calculation classes
Use of software for electric machine simulation
Seminaries held by expert professinals and design engineers

The examination is oral and aims to assess students' ability to master the basic concepts and theory of electric machine modeling and operation. The communicationand comprehension skills will be assessed regarding the basic concepts and operation of electric machines.

Industria, innovazione e infrastrutture