CODE 98175 2024/2025 6 cfu anno 2 INGEGNERIA GESTIONALE 10716 (L-9) - GENOVA ING-IND/31 Italian GENOVA 2° Semester Questo insegnamento è un modulo di: AULAWEB

## OVERVIEW

This subject aims to provide basic elements of electrical circuit theory (resistive elements and networks, transient and steady-state analysis of elementary first-order and second-order linear circuits, analysis of some circuit properties in periodical steady-state conditions) and to apply them to examples. To this end, concepts coming from Mathematics, Physics and Geometry are applied to circuits and some basic mathematical and scientific principles are introduced.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The course provides the basic knowldge to analyze linear time-invariant circuits (transitory and steady-state analysis), by using the fundamental tools of the circuit theory. Moreover, the course provides knowledge to use the tools of mathematics, physics, and geometry indispensable in the analysis of circuits.

### AIMS AND LEARNING OUTCOMES

It is expected that at the end of this subject the student will be able to analyze linear time-invariant resistive circuits and first-order and second-order dynamical circuits (transitory and steady-state analysis), by correctly writing topological equations and descriptive equations. During the lessons a set of tools are proposed; when dealing with a specific problem, the students have to decide what subset of tools can be (or has to be) used to solve it. This capacity of solving non-trivial problems is one of the main elements of the scientific cultural baggage of an engineer.

### PREREQUISITES

Basic concepts of mathematics and physics: derivatives and integrals of real functions; elementary linear differential equations; vectors, matrices, systems of algebraic equations; complex numbers; power and energy.

### TEACHING METHODS

About 60 classroom hours. During other practice lessons (with elective participation), further exercises and examples are proposed to reinforce learning.

### SYLLABUS/CONTENT

Fundamentals of circuit theory (circuit elements; models; elementary electrical variables; graphs and circuits; Kirchhoff's laws; Tellegen's theorem).

Two-terminal resistive elements and elementary circuits (significant two-terminal elements; Thévenin-Norton models; concept of electrical power; series and parallel connections).

Linear resistive two-ports and elementary circuits (six representations and properties; significant two-port elements; cascade, series and parallel connections).

General resistive circuits (Tableau analysis; superposition and substitution theorems; Thévenin-Norton theorems).

Elementary dynamical circuits (significant circuit elements; concept of state; transient and stationary steady-state solutions of first-order circuits with various sources: constant, piecewise-constant, impulsive; stability; generalizations to second- and higher-order circuits).

Sinusoidal steady-state analysis (phasors and sinusoidal solutions; phasor formulations of circuit equations; impedance and admittance of two-terminal elements; sinusoidal steady-state solutions; active, reactive and complex powers).

Periodical steady-state analysis (analysis of circuits with many sinusoidal inputs; periodical signals and Fourier series; mean value; RMS value theorem).

-           M. Parodi, M. Storace, Linear and Nonlinear Circuits: Basic & Advanced Concepts, Vol. 1, Lecture Notes in Electrical Engineering, Springer, 2017, ISBN: 978-3-319-61234-8 (ebook) or 978-3-319-61233-1 (hardcover), doi: 10.1007/978-3-319-61234-8.

-           L.O. Chua, C.A. Desoer, E.S. Kuh, Circuiti lineari e non lineari, Jackson, Milano, 1991.

-           C.K. Alexander, M.N.O. Sadiku, Circuiti elettrici (3A edizione), MacGraw-Hill, Milano, 2008.

-           M. de Magistris, G. Miano, Circuiti, Springer, Milano, 2007.

-           G. Biorci, Fondamenti di elettrotecnica: circuiti, UTET, Torino, 1984.

-           V. Daniele, A. Liberatore, S. Manetti, D. Graglia, Elettrotecnica, Monduzzi, Bologna, 1994.

-           M. Repetto, S. Leva, Elettrotecnica, CittàStudi, Torino, 2014.

## LESSONS

### LESSONS START

Regular (see the calendar at the website https://www.politecnica.unige.it/index.php/didattica-e-studenti/orario-e-calendario-delle-lezioni)

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

Written + oral.

Threshold score of the written exam: 6 (out of 20). The oral exam is a discussion of the written exam, in which the candidate must demonstrate a mastery of the subject matter. No proofs are requested in this phase. The oral exam can increase (up to +10) or decrease the score of the written exam.

If the overall score is sufficient (>= 18) and satisfactory for the candidate, it can be the final score of this subject. Otherwise, a further oral examination (max. score 30, proofs are requested in this phase) will contribute to the final assessment, by averaging written score and oral score.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

### ASSESSMENT METHODS

During the lessons, many exercises are proposed to the students for self-examination and later solved during the optional practice lessons. The learning results are assessed through the exams, as described in the above section. The learning outcomes are reached as far as the student demonstrates his/her ability to properly use the conceptual tools proposed during the lessons, in order to analyze different kinds of circuits working under different operating conditions (see Section "Aims and learning outcomes").