Learning objectives
The course will give students ability to:
* comprehend the symbolic description of electrical circuits;
* analyze the behavior of electrical networks in stationay, sinusoidal and transient conditions;
* find the mathematical relationships of an electric circuit for both analysis and design;
* know the limitations in electric energy transport;
* apply modeling of measuring instruments and loads to their area of interest.
Prerequisites
There are no compulsory prerequisites. The course will bring contents from:
* complex numers algebra;
* trigonometry;
* linear system solution;
* differential equation solution;
* Maxwell's equations.
Course unit content
The course aims to provide the students with the general criteria to analyze the behavior electrical circuits used for industrial applications.
Full programme
> Introduction to Electrical Circuits (2 hours)
* Electrical and Electronic Engineering
* Models, methods and representations
* Pros and cons for Mechanics and Informatics
* Logistics of the course
> DC networks - Introduction (2 hours)
* Fundamental quantities
- Charge and charge density
- Electric field, electric potential, voltage
- Current and current density
- Conductivity and resistivity
* Ohm's laws
- First Ohm's Law
- Second Ohm's Law
* Components modeling
- Generators
- Resistors
- Capacitors
- Inductors
- Conventions (load, generator)
> DC networks - Methods 1 (2 hours)
* From Maxwell to Kirchhoff
- Loops and nodes
- KVL and KCL
- Hints to the derivation from Maxwell's equations
* Analysis methods
- Nodal analysis
* Exercises
> DC networks - Methods 2 (2 hours)
* Analysis methods
- Loop analysis
* Exercises
> DC networks - Methods 3 (2 hours)
* Exercises
> Reti in continua - Methods 4 (2 hours)
* Exercises
> DC networks - Theorems 1 (2 hours)
* Network theorems
- Linearity
- Superposition principle
* Exercises
> DC networks - Theorems 2 (2 hours)
* Network theorems
- Thevenin's theorem
- Norton's theorem
* Exercises
> DC networks - Applications 1 (2 hours)
* Applications
- Resistors in parallel and in series
- Voltage and current dividers
* Exercises
> DC networks - Applications 2 (2 hours)
* Applications
- Millman's theorem
- Instruments
* Exercises
> AC networks - Phasors (2 hours)
* Phasors
* Impedance and admittance
* Exercises
> AC networks - Resonance (2 hours)
* Resonance and antiresonance
* Exercises
> AC networks - Power 1 (2 hours)
* Potenza
* Exercises
> AC networks - Power 2 (2 hours)
* Impedance matching
* Power factor correction
* Exercises
> AC networks - Poliphase systems (2 hours)
* Poliphase systems
* Power in three-phase systems
* Exercises
> Transients 1 (2 hours)
* First-order transients
* Autonomous and forced responses
* Exercises
> Transients 2 (2 hours)
* Second-order transients
* Autonomous and forced responses
* Exercises
> Electrical machines 1 (2 hours)
* Definition of magnetic quantities
- Magnetic field
- Flux density
- Magneto-motive force
- Flux and linked flux
- Inductance and reluctance
* Hopkinson's law
* Exercises
> Electrical machines 2 (2 hours)
* Magnetically-coupled circuits
* Transformers
* Exercises
> Electrical machines 3 (2 hours)
* Transformers
* Hints about motors and generators
> Practice on exercises (8 hours)
Bibliography
* C.K. Alexander, M.N.O. Sadiku, C. Gerardi, P. Gubian, "Circuiti elettrici", McGraw-Hill libri Italia, 2008
* G. Rizzoni, F. Vacca, S. Vergura, M. Travagnin, "Elettrotecnica. Principi e applicazioni", McGraw-Hill Education, 2018
* G. Fabricatore, "Elettrotecnica e applicazioni. Reti, macchine, misure, impianti", Liguori, 1994
Additional material is loaded on the Elly website.
Teaching methods
The course consists of 48 lecture hours. 70% of those are delivered as frontal classes, targeting the fundamentals of the subject. Remaining 30% hours are used as group solution of exercises, targeting applied problems in electric engineering.
Assessment methods and criteria
The contents of the first module of the course are verified with a written text, focusing on the topics presented in the classroom. The test is made up of both exercises about circuit solution and questions about theoretical elements explained during the course.
Other information
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2030 agenda goals for sustainable development
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