01NLDJM

A.A. 2018/19

Course Language

Inglese

Course degree

Course structure

Teaching | Hours |
---|---|

Lezioni | 39,5 |

Esercitazioni in aula | 10,5 |

Teachers

Teacher | Status | SSD | h.Les | h.Ex | h.Lab | h.Tut | Years teaching |
---|

Teaching assistant

Context

SSD | CFU | Activities | Area context |
---|---|---|---|

2018/19

The course, divided into two parts, aims to provide:
- The main concepts about analysis of electrical and magnetic circuit with particular attention to aspects of DC and low frequency;
- Methodological bases for understanding the operating principles and key operational concepts of electromechanical equipment and in general a rational, proper and safe use of electrical equipment;
- The operating principles and tools to evaluate the performance of the main electrical machinery, in view of their application in industrial processes

The course, divided into two parts, aims to provide:
- The main concepts about analysis of electrical and magnetic circuit with particular attention to aspects of DC and low frequency;
- Methodological bases for understanding the operating principles and key operational concepts of electromechanical equipment and in general a rational, proper and safe use of electrical equipment;
- The operating principles and tools to evaluate the performance of the main electrical machinery, in view of their application in industrial processes

Knowledge of methods to perform circuit analysis in electrical engineering.
Knowledge of the principles of main electro-mechanical equipment and electrical machinery used in industrial
Knowledge of criteria for use and application fields of the electrical machinery.
Ability to analyze electrical circuits operating under steady currents
Ability to analyze and evaluate the performance of electric machines
Ability to make the choice of the appropriate electrical equipment to be included in mechanical systems.

Knowledge of methods to perform circuit analysis in electrical engineering.
Knowledge of the principles of main electro-mechanical equipment and electrical machinery used in industrial
Knowledge of criteria for use and application fields of the electrical machinery.
Ability to analyze electrical circuits operating under steady currents
Ability to analyze and evaluate the performance of electric machines
Ability to make the choice of the appropriate electrical equipment to be included in mechanical systems.

Knowledge of ordinary differential equations, complex numbers and basic concepts of electromagnetism

Knowledge of ordinary differential equations, complex numbers and basic concepts of electromagnetism

Introduction to Electrical Engineering
Lectures
PART I: PRELIMINARIES (6h)
Basic definitions (2h)
models
electrical engineering and lumped circuit models: hypotheses
electrical components and terminals, two-terminal components
current e ammeter
voltage and voltmeter
passive and active sign convention
electrical power (wattmeter) and energy, passivity
Topology (1h)
operative definitions: node, branch, loop, mesh, graph
Kirchhoffs current law (surface, node)
Kirchhoffs voltage law (closed path, mesh)
Two-terminal components and constitutive equations (2h)
constitutive equations
classifications: control type, linearity, time invariance
passive elements
1. resistor (resistance, conductance), short circuit, open circuit, ideal switch
2. electric energy and capacitor
3. magnetic energy and inductor
active elements
1. voltage generator
2. current generator
Solution of the fundamental problem of circuit theory (1h)
definition
linearly independent equations: KCL, KVL constitutive equations
method of sparse tableau
adynamic networks (algebraic equations), dynamic (differential equations), order of a network
PART II: ADYNAMIC CIRCUITS (8h)
Special methods for the solution of electrical circuits (8h)
equivalence principle
series and parallel connection
1. definitions
2. series of resistors and voltage division
3. parallel of resistors and current division
4. examples
5. series of generators
6. parallel of generators
star and delta connection
superposition principle (proof)
Millmans theorem (proof)
Thevenins equivalent circuit (proof)
Nortons equivalent circuit (proof)
Tellegens theorem
Maximum power transfer
PARTE III: DYNAMIC CIRCUITS (16h)
Transient analysis (4h)
constitutive equations of capacitor and inductor
series and parallel connection of capacitors and inductors
solutions of differential equations with constant coefficients: outline
1. associated homogeneous equations
2. particular solution
3. initial conditions
first order differential equations
1. free and forced evolution
2. transient and permanent evolution
RC circuit
RL circuit
Solution of first order circuits with constant inputs (Thevenin, Norton)
switches
Sinusoidal steady state (8h)
(summary of complex number algebra)
sinusoidal waveforms
phasor of a sinusoidal waveform
properties of phasors
topological and constitutive equations in phasor domain
impedance, admittance and generalized Ohms law
generalization of principles and theorems in phasor domain
maximum power transfer in AC
phasor diagram
frequency response
power in sinusoidal steady state
1. instantaneous power
2. real and reactive power
3. complex and apparent power
Boucherots law
power factor correction of inductive single-phase loads
non sinusoidal periodic regime
Three-phase circuits (4h)
origin
definition: balanced and unbalanced three phase circuits, line (line-to-line) phase (line-to-neutral) voltages
star and delta connected loads
series and parallel connection of loads
single phase equivalent circuit
power
power factor correction: star and delta connection of capacitors
connection of single-phase loads to three-phase circuits
suitability of three-phase systems
1. cost effectiveness
2. constant instantaneous power
Practice lessons
Practice # 1
KVL and KCL
Constitutive equations
General solution of electric circuits
Practice # 2
Evaluation of equivalent resistances
Solution of circuits by using voltage and current division
Practice # 3
Use of superposition principle
Thevenin and Norton equivalent circuits
Millmans theorem
Practice # 4
Transient analysis
Practice # 5
Sinusoidal steady state analysis of circuits in phasor domain
Practice # 6
Sinusoidal steady state: method of power balance
Practice # 7
Analysis of three-phase circuits
Electrical Machines
Lectures
Introduction (1 h)
Ampere law. Magnetic flux. Lenz and Lorentz laws. Fundamental laws.
Materials (3 h)
Soft and hard magnetic materials. Iron losses.
Conductors and insulators.
Magnetic circuits (3 h)
Electromagnet. Magnetic reluctance.
Permanent magnets.
Circuits with permanent magnets.
Thermal aspects (2 h)
Simplified thermal model. Thermal transients.
Types of services.
Transformer (9 h)
Realization aspects. Ideal transformer: working principle.
Real transformer.
Equivalent circuit
Equivalent circuit under sinusoidal supply. Vector diagram.
Equivalent circuit parameters: no load and short circuit tests
Voltage drop. Efficiency
Parallel.
Three phase transformer
Asynchronous machine (8 h)
Rotating magnetic field
Realization aspects. Wounded rotor and cage rotor
Working principle. Comparison with transformer
Energetic balance.
Mechanical characteristic.
Determination of parameters.
Losses and efficiency
Speed regulation
DC machine (8 h)
Realization aspects. Rotor
Working principle. Torque and emf generation
Machine equations
Equivalent circuit
Separately excited machine. Mechanical characteristic
Speed regulation
Series excited machine. Mechanical characteristic. Commutation.
Practice lessons
Magnetic circuits (2 h)
Numeric examples
Thermal aspects (2 h)
Numerical evaluation of the temperature in the machines.
Transformer (5 h)
Determination of parameters of the equivalent circuit
Operation with load connected
Three phase transformer
Asyncronous machine (6 h)
Determination of parameters.
Determination of parameters and working conditions
DC machine (4 h)
Evaluation of torque and power in separately excited machines
Evaluation of torque and power in series excited machines

Introduction to Electrical Engineering
Lectures
PART I: PRELIMINARIES (6h)
Basic definitions (2h)
models
electrical engineering and lumped circuit models: hypotheses
electrical components and terminals, two-terminal components
current e ammeter
voltage and voltmeter
passive and active sign convention
electrical power (wattmeter) and energy, passivity
Topology (1h)
operative definitions: node, branch, loop, mesh, graph
Kirchhoffs current law (surface, node)
Kirchhoffs voltage law (closed path, mesh)
Two-terminal components and constitutive equations (2h)
constitutive equations
classifications: control type, linearity, time invariance
passive elements
1. resistor (resistance, conductance), short circuit, open circuit, ideal switch
2. electric energy and capacitor
3. magnetic energy and inductor
active elements
1. voltage generator
2. current generator
Solution of the fundamental problem of circuit theory (1h)
definition
linearly independent equations: KCL, KVL constitutive equations
method of sparse tableau
adynamic networks (algebraic equations), dynamic (differential equations), order of a network
PART II: ADYNAMIC CIRCUITS (8h)
Special methods for the solution of electrical circuits (8h)
equivalence principle
series and parallel connection
1. definitions
2. series of resistors and voltage division
3. parallel of resistors and current division
4. examples
5. series of generators
6. parallel of generators
star and delta connection
superposition principle (proof)
Millmans theorem (proof)
Thevenins equivalent circuit (proof)
Nortons equivalent circuit (proof)
Tellegens theorem
Maximum power transfer
PARTE III: DYNAMIC CIRCUITS (16h)
Transient analysis (4h)
constitutive equations of capacitor and inductor
series and parallel connection of capacitors and inductors
solutions of differential equations with constant coefficients: outline
1. associated homogeneous equations
2. particular solution
3. initial conditions
first order differential equations
1. free and forced evolution
2. transient and permanent evolution
RC circuit
RL circuit
Solution of first order circuits with constant inputs (Thevenin, Norton)
switches
Sinusoidal steady state (8h)
(summary of complex number algebra)
sinusoidal waveforms
phasor of a sinusoidal waveform
properties of phasors
topological and constitutive equations in phasor domain
impedance, admittance and generalized Ohms law
generalization of principles and theorems in phasor domain
maximum power transfer in AC
phasor diagram
frequency response
power in sinusoidal steady state
1. instantaneous power
2. real and reactive power
3. complex and apparent power
Boucherots law
power factor correction of inductive single-phase loads
non sinusoidal periodic regime
Three-phase circuits (4h)
origin
definition: balanced and unbalanced three phase circuits, line (line-to-line) phase (line-to-neutral) voltages
star and delta connected loads
series and parallel connection of loads
single phase equivalent circuit
power
power factor correction: star and delta connection of capacitors
connection of single-phase loads to three-phase circuits
suitability of three-phase systems
1. cost effectiveness
2. constant instantaneous power
Practice lessons
Practice # 1
KVL and KCL
Constitutive equations
General solution of electric circuits
Practice # 2
Evaluation of equivalent resistances
Solution of circuits by using voltage and current division
Practice # 3
Use of superposition principle
Thevenin and Norton equivalent circuits
Millmans theorem
Practice # 4
Transient analysis
Practice # 5
Sinusoidal steady state analysis of circuits in phasor domain
Practice # 6
Sinusoidal steady state: method of power balance
Practice # 7
Analysis of three-phase circuits
Electrical Machines
Lectures
Introduction (1 h)
Ampere law. Magnetic flux. Lenz and Lorentz laws. Fundamental laws.
Materials (3 h)
Soft and hard magnetic materials. Iron losses.
Conductors and insulators.
Magnetic circuits (3 h)
Electromagnet. Magnetic reluctance.
Permanent magnets.
Circuits with permanent magnets.
Thermal aspects (2 h)
Simplified thermal model. Thermal transients.
Types of services.
Transformer (9 h)
Realization aspects. Ideal transformer: working principle.
Real transformer.
Equivalent circuit
Equivalent circuit under sinusoidal supply. Vector diagram.
Equivalent circuit parameters: no load and short circuit tests
Voltage drop. Efficiency
Parallel.
Three phase transformer
Asynchronous machine (8 h)
Rotating magnetic field
Realization aspects. Wounded rotor and cage rotor
Working principle. Comparison with transformer
Energetic balance.
Mechanical characteristic.
Determination of parameters.
Losses and efficiency
Speed regulation
DC machine (8 h)
Realization aspects. Rotor
Working principle. Torque and emf generation
Machine equations
Equivalent circuit
Separately excited machine. Mechanical characteristic
Speed regulation
Series excited machine. Mechanical characteristic. Commutation.
Practice lessons
Magnetic circuits (2 h)
Numeric examples
Thermal aspects (2 h)
Numerical evaluation of the temperature in the machines.
Transformer (5 h)
Determination of parameters of the equivalent circuit
Operation with load connected
Three phase transformer
Asyncronous machine (6 h)
Determination of parameters.
Determination of parameters and working conditions
DC machine (4 h)
Evaluation of torque and power in separately excited machines
Evaluation of torque and power in series excited machines

Introduction to Electrical Engineering
The lectures are given in the traditional mode by using the blackboard. Practice lessons consist in the numerical solution of exercises proposed by the lecturer.
Electrical machines
The lectures will be held with the use of powerpoint slides previously transferred to the students.
Practice lessons will consist in the solution of numerical exercises.

Introduction to Electrical Engineering
The lectures are given in the traditional mode by using the blackboard. Practice lessons consist in the numerical solution of exercises proposed by the lecturer.
Electrical machines
The lectures will be held with the use of powerpoint slides previously transferred to the students.
Practice lessons will consist in the solution of numerical exercises.

Introduction to Electrical Engineering
Canova, Gruosso, "Introduction to Electrical Circuits", Progetto Leonardo, 2008
Giorgio Rizzoni, "Principles and Applications of Electrical Engineering", 5/e, McGraw-Hill, 2007
Additional resources: slides of prof. Repetto course, available on the official website.
Note: I recommend to take your own notes during class hours and metabolize the subject using the textbooks and slides as learning aids.
Electrical machines
Ned Mohan, "Electric machines and drives: a first course", Wiley, 2012
Slides of the course, available on the Portale della Didattica website.
Exercises to be solved in the classroom.

Introduction to Electrical Engineering
Canova, Gruosso, "Introduction to Electrical Circuits", Progetto Leonardo, 2008
Giorgio Rizzoni, "Principles and Applications of Electrical Engineering", 5/e, McGraw-Hill, 2007
Additional resources: slides of prof. Repetto course, available on the official website.
Note: I recommend to take your own notes during class hours and metabolize the subject using the textbooks and slides as learning aids.
Electrical machines
Ned Mohan, "Electric machines and drives: a first course", Wiley, 2012
Slides of the course, available on the Portale della Didattica website.
Exercises to be solved in the classroom.

...
The two modules have a common exam made of two parts. The written exam consists in the solution of four exercises, two each module, in approximately two hours.
Topics of the exercises are: analysis of circuits in steady state (DC and AC), transients, single and three phase circuits, magnetic circuits, evaluation of the working conditions of transformers, asynchronous and DC machines.
It is possible to use a scientific calculator and the official formula sheet uploaded on the course website. Candidates with positive scores (≥ 18/30, with a minimum of 8 in each of the 2 subjects) have access to the mandatory oral examination, consisting in the discussion of the exercises, and in theoretical questions on the main subjects of the course. A collection of past exams with solutions is available on the course website.

Gli studenti e le studentesse con disabilitΰ o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unitΰ Special Needs, al fine di permettere al/la docente la declinazione piω idonea in riferimento alla specifica tipologia di esame.

The two modules have a common exam made of two parts. The written exam consists in the solution of four exercises, two each module, in approximately two hours.
Topics of the exercises are: analysis of circuits in steady state (DC and AC), transients, single and three phase circuits, magnetic circuits, evaluation of the working conditions of transformers, asynchronous and DC machines.
It is possible to use a scientific calculator and the official formula sheet uploaded on the course website. Candidates with positive scores (≥ 18/30, with a minimum of 8 in each of the 2 subjects) have access to the mandatory oral examination, consisting in the discussion of the exercises, and in theoretical questions on the main subjects of the course. A collection of past exams with solutions is available on the course website.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.

© Politecnico di Torino

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY