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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