# FUNDAMENTALS OF ELECTRICAL ENGINEERING + INTRODUCTION TO ELECTRONICS

## Learning outcomes of the course unit

Industrial Application of Electric Systems

This course aims at providing to non-electrical student basic knowledge of electric circuits, electromechanical systems and of their applications, in order to enhance the core technical background of a future engineer.

Elements of Electronics

The aim of this module is to provide students with basic knowledge of the methods for frequency domain analyis of electrical and electronic linear circuits, and of the basic components and circuits for analog signal processing, with specific focus on operational amplifiers.

## Prerequisites

The students are expected to be familiar with the notions of mathematics and physics taught in the 1st and 2nd year of the Laurea in Mechanical Engineering.

## Course contents summary

INDUSTRIAL ELECTRICAL SYSTEMS:

Basic of electric linear circuit theory.

Analysis of DC electric circuits

From Maxwell field theory to lumped parameters circuits. Fields, charge and current.

Kirchhoff’s current and voltage laws.

Parallel and series connections for linear circuits. Wye-Delta transformation.

Node and loop analysis.

Network theorems. Thevenin’s and Norton’s theorem. Maximum power transfer theorem.

Transient analysis of electric circuits

Inductors, Capacitors and duality.

First order RL and RC circuits.

Second order circuits. Series and parallel RLC circuits.

Analysis of AC electric circuits

Phasor representatives of sinusoidal signals.

Steady-state circuit analysis using phasors.

Sinuosoidal steady-state power calculations.

Analysis of Three-Phase circuits.

Economical aspects of electric power transmission.

Frequency Response of linear circuits.

1. Linear system models

Building blocks of electro-mechanical systems. Linearity and linearization. Dynamic response of 1st and 2nd order systems.

2. Transfer functions

The Laplace transform. Transfer functions of 1st and 2nd order systems. Series-connected systems. Systems with feedback loops. Stability.

3. Frequency response

Phasors. Frequency response. Bode plots and Bode’s stability criterion.

4. Operational amplifiers

5. Basics of closed-loop controls.

## Course contents

APPLICAZIONI INDUSTRIALI ELETTRICHE

a) Electric circuits in steady state conditions.

Basic of electric linear circuit theory.

Analysis of DC electric circuits

From Maxwell field theory to lumped parameters circuits. Fields, charge and current.

Kirchhoff’s current and voltage laws.

Parallel and series connections for linear circuits. Wye-Delta transformation.

Node and loop analysis.

Network theorems. Thevenin’s and Norton’s theorem. Maximum power transfer theorem.

b) Electric circuits in quasi steady state conditions.

Second order circuits. Series and parallel RLC circuits. Analysis of AC electric circuits

Phasor representatives of sinusoidal signals. Steady-state circuit analysis using phasors. Sinuosoidal steady-state power calculations. Analysis of Three-Phase circuits.

Economical aspects of electric power transmission. Frequency Response of linear circuits.

c) Electric circuits dynamic behavior.

Transient analysis of electric circuits Inductors, Capacitors and duality. First order RL and RC circuits. Fourier series and Fourier transform.

d) Magnetic circuits

Magnetic circuit definition and magnetic materials behavior. The analysis of the magnetic circuit

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ELEMENTI DI ELETTRONICA

￼1) Mathematical models of mechanical, electrical, and electro-mechanical linear systems

Examples of mathematical models of mechanical, electrical, and electro- mechanical

Examples of mathematical models of mechanical, electrical, and electro- mechanical linear systems. Linearity and linearization. Dynamic response of 1st and 2nd order systems. Under-damped 2nd order systems: parameters of the step response.

2) Frequency domain analysis of linear systems

Laplace transform: examples and rules. Transfer functions. Step response of 1st and 2nd order systems. Series-connected systems. Feedback loops. Stability and the poles of the transfer function. Periodic regime: phasors and frequency response function. Bode plots. Bode stability criterion.

3) Basic concepts and applications of operational amplifiers

Amplifiers and network functions. Differential amplifiers. Ideal operational amplifiers. Applications of operational amplifiers: non-inverting and inverting voltage amplifiers; follower; summing amplifier; differential amplifier; integrating amplifier; low-pass filter. Non idealities of operationa amplifiers: offset voltage; common-mode rejection ratio (CMRR).

￼

## Recommended readings

• G. Rizzoni “Elettrotecnica principi e applicazioni” McGraw-Hill

• G.Fabricatore, “Elettrotecnica ed applicazioni”, Ed. Liguori.

W. Bolton, "Mechatronics - electronic control systems in mechanical and electrical engineering", 4th ed., Pearson Educational, ISBN 978-0-13-240763-2

## Teaching methods

Classroom lectures and excercises.

## Assessment methods and criteria

Verbal test, including some exercise or written report on a specific theme.