**Naval Architecture and Marine Engineering 8722 (coorte 2016/2017)**- MATHEMATICAL ANALYSIS I 56590
- GEOMETRY 56718

## OVERVIEW

The course gives the essential elements for understanding of analysis and exploitation of the electromagnetic phenomena. In the first part of the course the instruments for static and quasi-static analysis by circuit methods are introduced. In the second part of the course the principal application aspects of exploitation of power electromagnetic phenomena are introduced: electrical motors, power electronics and power electrical systems.

## AIMS AND CONTENT

LEARNING OUTCOMES

The course is aimed to supply fundamental acquaintances and mathematical instruments for the study and the analysis of the electric circuits in direct current and alternating current domain; the electrical motors and the energy power systems.

TEACHING METHODS

The course mainly develops through frontal lessons with computer and audiovisual aids. Moreover sessions of exercises carried out in classroom are provided. The students who attend the course must record themselves to the site AulaWeb, enrolling themselves to the course. In such a way they will have access to didactic material of the course, will receive via email communications of the teacher and will have access to the results of the written tests.

For the development of the exercises in classroom, 1 hour weekly will be scheduled, in preparation of the practical tests, to leave, indicatively, from the third week of lessons.

SYLLABUS/CONTENT

*Circuits*

- Introduction – Electrical power transmission - Electrical generators, electrical users, Electrical lines.
- Electromagnetic phenomena: General approach to the solution of the electromagnetic problems - Electric charge - Electrical current - Conductors - Continuity Law - Measure of the electrical current: ammeter - Electric field – Electric Voltage - Measure of the electric voltage: voltmeter.
- Electrical Conduction: Ohm’s and Joule’s Laws - Electrical resistivity and conductivity - Conductors of generic form - Bipolar resistor - Characterization of a bipolar resistor.
- Electrical Generators: Introduction – Behaviors of generators in open circuit - Behavior of generators with loads - Energy balance of generators – Electrical generators types.
- Bipolar devices and energy balance: Introduction – Equations of bipolar devices – Special bipolar devices (short circuit and open circuit) – Rate of electrical energy - Measure of the electrical power: wattmeter.
- Electrical network Properties: Introduction - Regime of operation (stationary, variable, transitory) - Analysis of the electrical networks - Topology of the networks - Kirchhoff’s Laws – Network analysis methods.
- Steady state analysis: Introduction – Bipolar devices connected in series – Series connection of an ideal voltage generator and a resistor - Resistors in series: equivalent resistance – Bipolar devices connected in parallel - Parallel connection of an ideal current generator and a resistor - Resistors in parallel: equivalent conductance - Network of resistors: equivalence concept - Star-delta transform – Steady-state analysis Methods - Superposition method – Maxwell’s method - Network reduction - Substitution Theorem – Thevenin’s transform – Norton’s transform – Millmann’s Formula – Power matching - Maximum power transfer.
- Dielectric phenomena – Capacitor : Introduction – Gauss’s Law - Capacitor – Parallel-plate capacitor- Bipolar capacitor – Capacitor in steady-state regime - Capacitor in transient regime - electrostatic Energy - Series and parallel of capacitors - Displacement current.
- Magnetic phenomena - Inductor: Introduction - Magnetic materials - Ferromagnetic materials - magnetic Induction - Faraday-Neumann’s Law - Inductors – Inductor coils - Mutual inductors – Bipolar inductors and two port inductors - Inductors in steady-state regime - Inductors in transient regime - Magnetic energy - Series and parallel of inductors.
- Sinusoidal steady-state networks: Introduction – Sinusoidal quantities: Phasors and sinusoids – Phasors graphical operations - generalized Ohm’s Law - Impedance – Sinusoidal steady-state network analysis – Thevenin’s and Norton’s transforms - Power balance in steady-state sinusoidal regime (average power, reactive power, complex power) - Measuring instruments in a.c.
- Three-phase network analysis: Introduction - symmetrical three-phase voltages - Phase and line voltages – Three-phase balanced load – Currents in three-phase networks – Balanced load analysis – Single-phase equivalent - Powers in balanced three-phase systems.
- Magnetic circuits: Introduction - Reluctance – Ferromagnetic materials - Air gap - Magnetic circuit’s Laws - Network analysis of magnetic circuits.

*Electrical machines and Power Systems*

- Transformers: Single-phase transformers - Equivalent circuit of the transformer – No-load (open-circuit) and short circuit tests – Power transformer on load - Three-phase transformers - Equivalent circuit of the three-phase transformer.
- Induction machines: Basic principles of a three-phase induction machine – Action of a three-phase induction machine - Simplified equivalent circuit - Speed-torque Characteristics – Starting of induction motors - Induction machine acting as generator.
- Synchronous Machines: Constructional features – Basic principles – No-load characteristics of a synchronous machine - Synchronous machine on load - Equivalent circuit of the synchronous machine - Electromechanical behavior
- Power systems: Production – Transmission and Distribution – HVDC – Safety.
- Distribution and final users: Low voltage assemblies.

RECOMMENDED READING/BIBLIOGRAPHY

Written support are available on-line on AulaWb site. There are various folder, where:

in folder "appunti del corso" are available for download pdf copies of teaching slides.

in folder "esercitazioni" are available for download pdf copies of solved exercises.

in folder "risultati delle prove scritte" are available for download pdf copies of past written exams.

It is also useful consulting of following books available from school CBA:

M. Guarnieri, A. Stella: “Principi ed applicazioni di Elettrotecnica (volume primo)”, Edizioni Libreria Progetto Padova.

C. K. Alexander, M.N.O. Sadiku: “Circuiti elettrici”, McGraw-Hill, ISBN 88 386 0853-9.

C. A. Desoer, S. Kuh: “Fondamenti di teoria dei circuiti”, Franco Angeli Editore, Collana di Ingegneria Elettrica.

## TEACHERS AND EXAM BOARD

**Office hours:** Date due by e-mail or phone call to teacher:
Prof. Paolo Molfino Dept. DITEN
office: Via Opera Pia 11 (ex-CNR), 3^ piano
Phone: 010 3532713 e-mail: paolo.molfino@unige.it

Exam Board

PAOLO MOLFINO (President)

MANSUETO ROSSI (President)

MASSIMO BRIGNONE

GIORGIO MOLINARI

MARIO NERVI

## LESSONS

TEACHING METHODS

The course mainly develops through frontal lessons with computer and audiovisual aids. Moreover sessions of exercises carried out in classroom are provided. The students who attend the course must record themselves to the site AulaWeb, enrolling themselves to the course. In such a way they will have access to didactic material of the course, will receive via email communications of the teacher and will have access to the results of the written tests.

For the development of the exercises in classroom, 1 hour weekly will be scheduled, in preparation of the practical tests, to leave, indicatively, from the third week of lessons.

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

The exam requires positive evaluation on a written test followed by an oral examination.

Written test: two written tests will be scheduled during the period of lesson (compitini). Each test require the solution of an exercise (one hour). Moreover written tests will be scheduled during the periods of examinations (January-February and June-September). Each test requires the solution of two exercises (two hours).

The overcoming of written tests guarantees the admission to the oral tests until the first written test of the following academic year. Exceeded such term the written test must be newly old.

ASSESSMENT METHODS

Written tests: For every proposed exercise it must be answered to 3 questions, each of which it is worth a point, for a total on the two exercises of 6 points. Admission to oral test requires total score turns out to be ≥ 4 on 6. Regarding the intermediate written tests, students attending the course for the first time are admitted.

Oral test: talk of approximately 30 minutes on practical examples (exercises) and theoretical arguments. Oral test will be possible during the periods of interruption of the lessons, the registration to the examination sessions with a restricted number is carried out by means of the online procedure. The registrations is opened beginning from the week precedence to that of the session of examination chosen. In lessons periods oral tests are provided on appointment basis, only for students who have finished the triennial cycle (students who have already attended the third year courses).

Exam schedule

Date | Time | Location | Type | Notes |
---|---|---|---|---|

08/01/2018 | 09:00 | GENOVA | Scritto | |

10/01/2018 | 14:30 | GENOVA | Orale | |

17/01/2018 | 14:30 | GENOVA | Orale | |

24/01/2018 | 14:30 | GENOVA | Orale | |

31/01/2018 | 14:30 | GENOVA | Orale | |

05/02/2018 | 09:00 | GENOVA | Scritto | |

07/02/2018 | 14:30 | GENOVA | Orale | |

14/02/2018 | 14:30 | GENOVA | Orale | |

20/04/2018 | 15:00 | GENOVA | Scritto | |

30/05/2018 | 09:00 | GENOVA | Scritto | |

06/06/2018 | 14:30 | GENOVA | Orale | |

13/06/2018 | 14:30 | GENOVA | Orale | |

20/06/2018 | 14:30 | GENOVA | Orale | |

27/06/2018 | 14:30 | GENOVA | Orale | |

02/07/2018 | 09:00 | GENOVA | Scritto | |

04/07/2018 | 14:30 | GENOVA | Orale | |

11/07/2018 | 14:30 | GENOVA | Orale | |

18/07/2018 | 14:30 | GENOVA | Orale | |

31/08/2018 | 09:00 | GENOVA | Scritto | |

05/09/2018 | 14:30 | GENOVA | Orale | |

12/09/2018 | 14:30 | GENOVA | Orale | |

16/11/2018 | 15:00 | GENOVA | Scritto | La prova è riservata agli studenti fuori corso: studenti che hanno terminato di frequentare il terzo anno, ovvero studenti iscritti a tempo parziale. |