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Il corso si propone di esporre le leggi fondamentali che regolano il comportamento dei circuiti elettrici a parametri concentrati e di fornire metodi sistematici che consentano di analizzare il comportamento dei circuiti elettrici dinamici, lineari e a parametri concentrati, sia in regime generico che in regime sinusoidale. Esercitazioni e laboratori completano, da un punto di vista applicativo, gli argomenti teorici trattati nelle lezioni. The main objective of the course is to introduce students to the comprehension of the basic laws governing lumped electrical circuits, giving suitable and general methods for their analysis. In particular, the course provides fundamental tools to analyze high-order dynamic circuits in the time and in the frequency-domain. An introduction to automated circuit analysis via computer-based simulation is also provided. The theory is complemented by several in-class exercise sessions.

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Il corso si propone di esporre le leggi fondamentali che regolano il comportamento dei circuiti elettrici a parametri concentrati e di fornire metodi sistematici che consentano di analizzare il comportamento dei circuiti elettrici dinamici, lineari e a parametri concentrati, sia in regime generico che in regime sinusoidale.

Esercitazioni e laboratori completano, da un punto di vista applicativo, gli argomenti teorici trattati nelle lezioni. The main objective of the course is to introduce students to the comprehension of the basic laws governing lumped electrical circuits, giving suitable and general methods for their analysis. In particular, the course provides fundamental tools to analyze high-order dynamic circuits in the time and in the frequency-domain.

An introduction to automated circuit analysis via computer-based simulation is also provided. The theory is complemented by several in-class exercise sessions. Conoscenza delle leggi fondamentali che regolano i circuiti elettrici.

Knowledge of the basic laws governing electrical circuits. Knowledge of general analysis techniques for high order dynamic circuits. Ability to analyze electric circuits, choosing the most convenient techniques. Ability to use a modern computer program for Computer-aided Circuit Analysis Spice.

Conoscenze di fisica: potenza ed energia, elettromagnetismo di base. Conoscenze d'analisi matematica e geometria: algebra dei numeri complessi, calcolo matriciale, sistemi di equazioni algebriche lineari, equazioni differenziali ordinarie del primo ordine, trasformata di Laplace. Physics: power and energy, basic electromagnetics. Mathematics: algebra of complex numbers, linear algebra and matrix analysis, algebraic linear systems, first-order linear differential equations, Laplace transform.

Circuiti a parametri concentrati; tensione, corrente, potenza. Direzioni di riferimento. Leggi di Kirchhoff. Resistori lineari e non lineari; diodi; generatori indipendenti. Analisi di circuiti resistivi: metodo dei nodi e sue varianti; teoremi di sostituzione e di sovrapposizione, di Thevenin e di Norton. Analisi di circuiti con diodi ideali. Condensatori e induttori lineari. Circuiti RC e RL del primo ordine. Analisi elementare nel caso di segnali costanti a tratti.

Circuiti dinamici generali: circuiti del secondo ordine. Analisi di circuiti lineari mediante trasformata di Laplace. Funzioni di rete: impedenze, ammettenze e funzioni di trasferimento.

Legame tra il comportamento in frequenza e la risposta nel tempo. Estensione ai circuiti dinamici dei teoremi di sostituzione, di sovrapposizione, di Thevenin e di Norton. Curve di risposta in frequenza diagrammi di Bode. Potenza in regime sinusoidale. Circuiti risonanti. Induttori mutuamente accoppiati. Funzionamento del doppio bipolo sotto carico. Lumped circuits; voltage, current, power. Reference directions. Kirchhoff laws. Linear and nonlinear resistors; diodes; independent sources.

Series and parallel connection of resistive one-port elements. Two-port and multi-port elements: dependent sources, ideal transformer, ideal operational amplifier. Analysis of resistive circuits: nodal analysis and its variants. Network theorems: substitution, Thevenin, Norton, superposition. Analysis of circuits with ideal diodes. Linear inductors and capacitors; series and parallel connection of inductors and capacitors.

First order RC and RL circuits. Analysis by inspection under piecewise constant excitation. General dynamic circuits. Second order circuits. Transient analysis of high-order circuits using the Laplace transform. Network functions: impedance, admittance and transfer functions. Natural frequencies and stability. Connection between frequency-domain and time-domain responses.

Extension of network theorems to dynamic circuits. Circuit equations in sinusoidal steady state, symbolic analysis, phasors. Bode plots. Power in sinusoidal steady state.

Resonant circuits; power matching. Coupled inductors. Loaded two-port elements. In alcune esercitazioni gli studenti impareranno ad usare un moderno programma di simulazione circuitale Spice. In-class exercise sessions are aimed at practicing the general circuit analysis methods presented during the lectures. A few hours are dedicated to a basic introduction to computer-based circuit simulation programs Spice.

Testo di riferimento per il corso: V. Daniele, A. Liberatore, R. Graglia, S. Perfetti, Circuiti elettrici, Zanichelli, Bologna, Ulteriori testi per approfondimenti: C. Alexander, M. Charles A. Desoer and Ernest S. Kuh, Basic circuit theory. McGraw- Hill, M. In via sperimentale, sara' reso disponibile un servizio web per la generazione automatica di esercizi con risultato. Tale servizio e' disponibile all'indirizzo www. Reference textbook: V. Additional texts: C.

An exercise book is available for download from the course web site, as well additional material such as templates of final tests. The exercise book is the reference material for all exercise labs. Please refer to the course web site for the most updated material and for any official communication.

A web service will be made available for the automated generation of exercise problems with result. This service is available at the link www. Non verranno corretti fogli di brutta da non consegnare. Gli esercizi d'esame riguardano tutto il programma del corso, e sono divisi in due parti. E' possibile ritirarsi dopo 1 ora dall'inizio della prova, e fino a 15 minuti dalla fine.

In ogni caso, gli studenti potranno discutere lo scritto e chiedere chiarimenti al Docente sui propri errori prima della registrazione del voto. The final examination consists of a written test duration 2 hours , whose aim is to test the ability of students to analyze circuits by choosing the appropriate methods.

During the written test, it is possible to use a non-programmable scientific calculator; no texts, books and notes are admitted. Each student will receive the exam paper, which provides all necessary space to provide the answers, and which will have to be returned at the end of the test. The rough copy will not be corrected. The test includes problems covering the entire course program, divided in two parts.

Part 1 includes 8 elementary problems 2 points each, total 16 points , for which the student is required to provide only the final answer no derivations. Part 2 includes two more complex circuits 16 points total , for which the student is required to report all detailed steps of the solution. If the score from Part 1 is less than 7, the exam is failed, and Part 2 will not be corrected. The students can cancel the test after 1 hour from its start, until 15 minutes from the end.

The full solution of the exam problems will be published on the official course web site soon after the written test. The students will then have two days to notify the Teacher by Email in case they want to cancel the test, leaving no track. After two days, all exam papers will be graded and the exam will be registered officially, without any possibility of rejecting the marks. In any case, before registration the students will have the possibility to review their test and ask clarifications on their mistakes.

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Silvia Strada was born in Milano, Italy, in She received the M. Thesis in During her Ph. Her main current research interests include robust control methods, intelligent mechatronic systems in various application domains, data analytics, modelling and identification in particular in the insurance telematics and wearable technologies contexts. The investigation of a control-oriented, feedback system within a distributed IoT scenario including a blockchain-inspired validation mechanism is one of her younger research fields.

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