Ing Ind - Inf (Mag.)(ord. 270) - MI (471) BIOMEDICAL ENGINEERING - INGEGNERIA BIOMEDICA

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096532 - ADVANCED CIRCUIT THEORY

Ing Ind - Inf (Mag.)(ord. 270) - MI (475) ELECTRICAL ENGINEERING - INGEGNERIA ELETTRICA

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096532 - ADVANCED CIRCUIT THEORY

Ing Ind - Inf (Mag.)(ord. 270) - MI (476) ELECTRONICS ENGINEERING - INGEGNERIA ELETTRONICA

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096532 - ADVANCED CIRCUIT THEORY

Obiettivi dell'insegnamento

Goal of this course TheAdvanced Circuit Theory course is designed tocomplement the basicstudents' knowledgeon electrical circuitsobtained in the courseof the Junior Electrical Engineering degree, with more "in depth" or complementary topics that are typical of a rigourous and scientifical approach to the study of circuits. Inparticular, the analysis oflinear and non-linear circuits, purelyresistive ordynamic is formalised using general methodssuch as modified nodal analysisand state equations. The basic framework of circuit simulators is presented, along with explanations related to possible simulation failures.Finally,network functionsoflineardynamiccircuits are introduced in order to presentsome simple examplesof one-port synthesisandfilter design. Inallthe topics covered, specific attention is given to theapplicationofgeneral methods.

Risultati di apprendimento attesi

Dublin Descriptors

Expected learning outcomes

Knowledge and understanding

Students will learn:

+ the fundamental principles of graph theory applied to electrical circuits + the state space representation of nonlinear dynamic circuits, linearisation methods, energy based stability properties of circuits + the standard modified nodal analysis method for the solution of general circuits (nonlinear, dynamic etc.) + basic properties of linear passive one-ports and methods for their realization

Moreover, as a more general goal, a rigorous, math based approach to circuits.

Applying knowledge and understanding

Students will learn to:

+ write solving equations for general circuits and analysing their solutions both using numerical methods and using closed form solutions + write, using standard programming languages, the basic structure of a circuit simulator + synthesise a passive linear one port using Cauer or Foster methods

Making judgements

Students will learn to chose the most appropriate method for the solution of circuit related problems, basic knowledge of circuit simulation methods will lead them to a better undestanding of simulation problems that often occur in practice and find a solution to these problems

Communication

Students are required, in the “theory” part of the assessment, to describe using synthetic terms, complex theoretical concepts.

Lifelong learning skills

A solid knowledge of a theoretical approach to circuits. A good understanding of the connection of several topics typical of circuit theory with those of control theory.

Argomenti trattati

Topics (Syllabus):

1Fundamental lawsof electrical networks

Topological properties. Implicitandexplicit Kirchhoff's laws. Graph matrices and their relations. Power andenergy. Implicit andexplicitConstitutive formulations of one-portandtwo-port components.Unidirectionality, 'reciprocity', symmetryand other propertiesof lineartwo-ports. Special two-ports: transformer, gyratorandoperational amplifiers. Connection oftwo-ports.

2Analysisoflinear and nonlinearresistive networks.

Formulationofstate equationsin the time domain. Solutionof thestate equation oflineardynamic circuitsin the time domain: freeand forced components of the solution.Natural frequenciesand stability. Second-orderlinear circuits. Qualitative studyof simpledynamicnonlinear circuits: oscillatorsandbistable. MNA formulation for general circuits. Simple numerical methods for the solution of the MNA problem.

4Network Functions

Analysis of lineardynamic circuits in sinusoidal steady state. Network functions in thephasordomain. Frequency response.Analysis of lineardynamic circuits using the Laplace transform. State equationsandtheirsolutioninthe Laplace domain. Immittances and general network functionsH(s), poles and zeros.

5 Synthesis ofone-ports andpassivefilter design

Properties of immittance functions Z(s) and Y(s) of RLC passive one-ports. Propertiesand synthesis of one-ports withonly two elements(LC, RC, RL) according to the canonical formsofFosterandCauer. Design of alow pass filter.Sensitivity analysiswith respect to aparameterof the circuit andmethodfor that network.

Prerequisiti

Prerequisites All topics that are part of the basic courseof Electrical Engineering (Elettrotecnica) Laplace transforms. Electronic components (diodes, transistors, operational amplifiers, ...) Linearalgebraic equations. Eigenvalues andeigenvectorsof matrices. Ordinary differential equations.

Modalità di valutazione

The exam is composed of two parts, a first "practical" part, where the student is asked to find the solution to (usually three) simple problems, a second "theoretical" one where the student is required to answer in written form to a number of questions regarding all topics discussed in the course. It is possible, in some cases, to substitute the first part with a project (ask for details if interested)

On the Beep platform some lecture notes and exams with solution (in Italian) of the past italian version of this course (i.e. Teoria delle Reti Elettriche) are available. A set of new lecture notes (in english) specific for this course is in progress (and currently covers about 70% of the topics of the course)

Bibliografia

Leon O. Chua, Charles A. Desoer, Ernest S. Kuh, Linear and Nonlinear Circuits - International Edition, Editore: McGraw (but now in non defined international reprint), Anno edizione: 1987, ISBN: 9780070108981

Forme didattiche

Tipo Forma Didattica

Ore di attività svolte in aula

(hh:mm)

Ore di studio autonome

(hh:mm)

Lezione

30:00

45:00

Esercitazione

20:00

30:00

Laboratorio Informatico

0:00

0:00

Laboratorio Sperimentale

0:00

0:00

Laboratorio Di Progetto

0:00

0:00

Totale

50:00

75:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione

Insegnamento erogato in lingua
Inglese

Disponibilità di materiale didattico/slides in lingua inglese

Disponibilità di libri di testo/bibliografia in lingua inglese

Possibilità di sostenere l'esame in lingua inglese

Disponibilità di supporto didattico in lingua inglese