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Title
Teoria delle reti elettriche ed
Elettrotecnica
Circuit Theory and
Electrotechnics
Degree
Corso di Laurea in Ingegneria Elettronica
(DM 270/04)
Teacher: Fabrizio Bellina
Year
2
Teaching
Period
1
Credits
12
Academic year: 2014/2015
Objectives:
Mancano obiettivi formativi
Acquired skills:
- The student should be able to analyse simple electromagnetic field configurations in quasi steady-state regime.
- The student should be able to obtain lumped network models of some simple field configurations.
- The student should be able to analyse qualitatively and quantitatively simple electrical circuits in steady-state, periodical
and quasi steady-state regime.
- His knowledge about circuit theory will be fundamental for the analysis of electronic circuits and for the electromagnetic
field propagation analysis.
Lectures and exercises
Topics
hours
Specific contents
Electric charges and current density Free charges, charge density. Current and current density, charge balance
field
law.
3
Electrical forces and voltages
Electrical forces and fields. Electrical work, voltage. Scalar potential,
equipotential surfaces. Specific electrical work and power.
4
Resistive phenomena
Ohm's and Joule's laws. Electrical resistance. Material electrical
conductivity. Constitutive law. General expressions for the electrical
resistance.
4
Electrical generators
No-load behaviour, electromotive forces. Behaviour under load. Power
balance. Voltage measurements in the generators. Types of generators.
3
Steady-state network analysis
From the electromagnetic fields to the electrical circuits. Electric power and
work. Amperometer, voltmeter, wattmeter. Kirchhoff's laws. Affine dipoles.
Circuits topology. Node potentials and loop currents methods. Theorems
about dipoles circuits. Passive affine double dipoles. Synthesis of double
dipoles. Driven generators.
20
Electrostatic field
Electrostatic potential. Faraday’s experience, electric induction. Conductive
bodies. Polarisation, constitutive laws for dielectric materials. Laplace and
Poisson equations. Boundary conditions. Capacitor, partial capacitances.
Electrostatic energy and specific energy.
12
Magnetostatic field and magnetic
circuits
Faraday-Neumann’s and Lenz laws. Magnetic induction, magnetic vector
potential. Magnetic field vector, Ampére's law. Displacement current
density. Maxwell equations. Laplace and Poisson equations. Boundary
conditions. Magnetisation, constitutive laws. Magnetic hysteresis. Self and
mutual inductance and inertance coefficients. Magnetisation work and
energy. Scalar magnetic potential, reluctance and permeance, Hopkinson's
law. Ferromagnetic nuclei, Kirchhoff's laws for magnetic circuits. Circuits
with permanent magnets, inductors with ferromagnetic nuclei.
17
Circuit behaviour of capacitors and
inductors
Response to the main types of input waveforms. Charge and discharge,
time constant. Capacitors and inductors in series and in parallel, equivalent
circuits.
5
Periodical and sinusoidal quantities
Periodical quantities. Description in the time and in the complex domains.
Phasors. Operations with sinusoidal and phasorial quantities
3
Networks in sinusoidal regime
Kirchhoff's laws. Impedance, admittance. Synthesis of impedances
/admittances. Power. Theorems for the circuits in sinusoidal regime.
Analysis in the frequency domain, resonance. Inductive double dipoles.
19
Three phases-systems
Delta and Y connections for loads and generators. Balanced loads. Power,
measures
2
Networks in periodical
non-sinusoidal regime
Representation as Fourier's series. Power. Generators. Components.
Circuit analysis methods.
5
1
Network analysis in variable regime
Overview. Initial conditions. Analysis in the time domain. Homogeneous
differential equation solution, free evolution. Particular solutions. Use of
Laplace transform.
9
Total hours for lectures and exercises
106
for exercises only
30
Further educational activities
hours
Labs
Tutorials / Seminars
Workshops
Guided tours
Total hours for further educational activities
0
Total hours
106
Type of exam:
References:
- Lectures notes
- M. Guarnieri: Elementi di elettrotecnica circuitale, Ed. Progetto, Padova, 2010.
- E. Tonti, E. Nuzzo: Gradiente, rotore, divergenza, Ed. Pitagora, Bologna, 2007.
- M. Guarnieri, G. Malesani: Elementi di Elettrotecnica: Reti Elettriche, Ed. Progetto, Padova, 1998.
- F. Bellina, P. Bettini, A. Stella, F. Trevisan: Esercizi di elettrotecnica, Ed. Progetto, Padova, 2005.
- M. Bagatin, G. Chitarin, D. Desideri, F. Dughiero et al.: Esercizi di Elettrotecnica - Reti Elettriche, Esculapio, Bologna,
2004.
- L.O. Chua, C.A. Desoer, E.S. Kuh: Circuiti lineari e non lineari, Ed. Jackson, Milano, 1991.
- G. Biorci: Fondamenti di elettrotecnica. Circuiti (2), Ed. UTET, Torino, 1984.
- Barozzi F., Gasparini F.: Fondamenti di Elettromagnetismo ed Elettrotecnica, Ed. UTET, Torino, 1989
Additional material or information on line http://web.diegm.uniud.it/elettrotecnica
2