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Scheda Riassuntiva
Anno Accademico 2018/2019
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 096532 - ADVANCED CIRCUIT THEORY
Docente Storti Gajani Giancarlo
Cfu 5.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - MI (471) BIOMEDICAL ENGINEERING - INGEGNERIA BIOMEDICA*AZZZZ096532 - ADVANCED CIRCUIT THEORY
Ing Ind - Inf (Mag.)(ord. 270) - MI (475) ELECTRICAL ENGINEERING - INGEGNERIA ELETTRICA*AZZZZ096532 - ADVANCED CIRCUIT THEORY
Ing Ind - Inf (Mag.)(ord. 270) - MI (476) ELECTRONICS ENGINEERING - INGEGNERIA ELETTRONICA*AZZZZ096532 - ADVANCED CIRCUIT THEORY

Obiettivi dell'insegnamento

Goal of this course
The Advanced Circuit Theory course is designed to complement the basic students' knowledge on electrical circuits obtained in the course of 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. 
In particular, the analysis of linear and non-linear circuits, purely resistive or dynamic is formalised using general methods such as modified nodal analysis  and state equations. The basic framework of circuit simulators is presented, along with explanations related to possible simulation failures. Finally, network functions of linear dynamic circuits are introduced in order to present some simple examples of one-port synthesis and filter design. In all the topics covered, specific attention is given to  the application of general 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):

1 Fundamental laws of electrical networks

Topological properties.
Implicit and explicit Kirchhoff's laws. Graph matrices and their relations. Power and energy. Implicit and explicit Constitutive formulations of one-port and two-port components. Unidirectionality, 'reciprocity', symmetry and other properties of linear two-ports. Special two-ports: transformer, gyrator and operational amplifiers. Connection of two-ports.

2 Analysis of linear and nonlinear resistive networks.

General methods of analysis. Nodal analysis (NA) and Modified Nodal Analysis (MNA). Numerical methods for solving linear algebraic systems. Sparsity. Characterization of nonlinear elements and their linearization. Examples: diode, BJT and MOS transistors, OP-AMP. Small-signal analysis. Graphical and numerical methods for solving systems of nonlinear algebraic circuit and their interpretation. Properties of circuits composed of  strictly passive
non-linear and strictly monotonous non-linear bipoles.

3  Dynamic circuit a
nalysis

Formulation of state equations in the time domain. Solution of the state equation of linear dynamic circuits in the time domain: free and forced components of the solution. Natural frequencies and stability. Second-order linear circuits. Qualitative study of simple dynamic nonlinear circuits: oscillators and bistable. MNA formulation for general circuits. Simple numerical methods for the solution of the MNA problem.
 

4 Network Functions

Analysis of linear dynamic circuits in sinusoidal steady state. Network functions in the phasor domain. Frequency response. Analysis of linear dynamic circuits using the Laplace transform. State equations and their solution in the Laplace domain. Immittances and general network functions H(s), poles and zeros.

5 Synthesis of one-ports and passive filter design

Properties of immittance functions Z(s) and Y(s) of RLC passive one-ports. Properties and synthesis of one-ports with only two elements (LC, RC, RL) according to the canonical forms of Foster and Cauer. Design of a low pass filter. Sensitivity analysis with respect to a parameter of the circuit and method for that network.

 


Prerequisiti

Prerequisites
All topics that are part of the basic course of Electrical Engineering (Elettrotecnica)
Laplace transforms.
Electronic components (diodes, transistors, operational amplifiers, ...)
Linear algebraic equations.
Eigenvalues ​​and eigenvectors of 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
Risorsa bibliografica obbligatoriaLeon 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
schedaincarico v. 1.6.1 / 1.6.1
Area Servizi ICT
20/11/2019