# FUNDAMENTALS OF ELECTRICAL ENGINEERING + INTRODUCTION TO ELECTRONICS (UNIT 2)

## Learning outcomes of the course unit

1) Knowledge and understanding

This module aims at providing students with basic knowledge and

understanding of:

- analysis techniques for first- and second-order systems in the frequency

domain

- transfer functions and frequency response functions

- characteristics and behavior of feedback systems

- methods for evaluating the stability of linear systems

- circuits for analog signal processing based on operational amplifiers

2) Applying knowledge and understanding

Students will be able to:

- analyze the behavior of linear systems, and in particular of first- and

second-oder systems, by frequency domain analysis

- analyze behavior and stability of feedback systems

- analyze the operation of simple circuits based on operational amplifiers

1) Knowledge and understanding

This module aims at providing students with basic knowledge and

understanding of:

- analysis techniques for first- and second-order systems in the frequency

domain

- transfer functions and frequency response functions

- characteristics and behavior of feedback systems

- methods for evaluating the stability of linear systems

- circuits for analog signal processing based on operational amplifiers

2) Applying knowledge and understanding

Students will be able to:

- analyze the behavior of linear systems, and in particular of first- and

second-oder systems, by frequency domain analysis

- analyze behavior and stability of feedback systems

- analyze the operation of simple circuits based on operational amplifiers

## Prerequisites

Students must be familiar with the concepts and methods treated in the

mathematics and physics courses of the first two years of the degree

(Analisi matematica 1, Analisi matematica 2, Fisica generale 1, Fisica

generale 2).

Students must be familiar with the concepts and methods treated in the

mathematics and physics courses of the first two years of the degree

(Analisi matematica 1, Analisi matematica 2, Fisica generale 1, Fisica

generale 2).

## Course contents summary

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

2) Frequency domain analysis of linear systems

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

2) Frequency domain analysis of linear systems

3) Basic concepts and applications of operational amplifiers

## Course contents

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

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.

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

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

Fourier and 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.

## Recommended readings

Allan R. Hambley: Electrical Engineering Principles and Applications Prentice Hall

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 exercises solved by the instructor and by

students.

Classroom lectures and exercises solved by the instructor and by

students.

## Assessment methods and criteria

Oral exam. There is a single exam for the two modules making up the

integrated course. Students will have to demonstrate knowledge of the

techniques for the frequency-domain analysis of linear systems treated in

the lectures, and the ability to apply them. They are also expected to be

able to analyze the behavior of simple circuits based on operational

amplifiers. It is considered important that students be able to solve

simple quantitative exercises by hand calculation.

Oral exam. There is a single exam for the two modules making up the

integrated course. Students will have to demonstrate knowledge of the

techniques for the frequency-domain analysis of linear systems treated in

the lectures, and the ability to apply them. They are also expected to be

able to analyze the behavior of simple circuits based on operational

amplifiers. It is considered important that students be able to solve

simple quantitative exercises by hand calculation.