Electrical Engineering

Magnetic circuits in linear media Fundamental quantities: magnetic induction vector flux, magnetic voltage, magnetomotive force, flux sources, reluctance, permeance. Fundamental laws: topological bonds, constitutive bonds (Hopkinson-Rowland law). Similarities and differences with respect to electrical circuits. Limits of the circuit model. Steady-state analysis methods. Extension to the sinusoidal periodic regime. Notes on magnetic circuits in non-linear media. Lumped parameter electric circuits in a sinusoidal periodic regime Representations of linear passive two-port networks: forward and reverse transmission matrices, admittance and impedance matrices, matrices with hybrid parameters, scattering parameters. Representation of passive or active n-port linear circuits. Network analysis methods in the presence of controlled generators, linear n-gate networks, mutually coupled linear inductors and short-circuits: ring, mesh, nodal potential, tableau methods. Models and analysis methods of circuits with distributed parameters Parameters per unit length of lines: internal impedance for the skin effect in cylindrical conductors, partial, apparent, oblique and service inductances in polyphase lines. Analysis of multiconductor lines using modal analysis in sinusoidal periodic regime. Time-domain analysis of lossless distributed parameter circuits using traveling waves. Progressive and regressive waves: reflections and refractions at resistive, inductive or capacitive terminations. Trellis diagram. Behavior in the presence of small power losses. Fortescue's symmetric component method for three-phase systems Analysis of lumped parameter circuits in periodic regime Fourier transform: properties and theorems. Discrete transformation. Definitions of powers according to international regulations. Non-ideal behavior of real components. Analysis of second order R-L-C filters: transfer functions and Bode diagram of low-pass, high-pass, band-pass, band-elimination filters. Effect of load and equivalent source resistance on filter performance. Notes on higher order filters. Methods of analysis of linear networks with lumped constants, in the time domain Laplace transform: properties and theorems. Zero-state response, free evolution. Multiple poles, pole-zero cancellation. Anti-transformation of rational functions between proper and improper ones. Notes on nonlinear circuits and analysis methods State variable method in non-degenerate networks. Notes on special materials Electromagnetic field in sinusoidal regime Eddy currents in massive conductors of circular or "thin" rectangular section affected by periodic magnetic induction in the direction normal to the sections. Current distortion in a saturable reactor powered by sinusoidal voltage. Notes on the electromagnetic wave equation and plane waves.

Knowledge of the methods of analysis of circuits and electric and magnetic fields is necessary, acquired in a basic university course in the Electrotechnics discipline.

S. Celozzi, G. Lovat Lezioni di Elettrotecnica II, ed. Esculapio, 2016 M. D’Amore Elettrotecnica, vol. II, ed. Siderea

Attendance is strongly recommended.

The exam consists of a written test and an oral test: the written test requires the numerical solution of 3 exercises, the oral includes three theory questions. You are admitted to the oral exam with a mark greater than or equal to 18. In writing, one exercise deals with transients, two exercises focus on circuits in periodic regime. In both written and oral exams, the weight of the individual exercises or questions is the same (10 points per exercise or question).

Lessons and exercises are carried out in the classroom in a traditional way, on the blackboard.

Magnetic circuits in linear media Fundamental quantities: magnetic induction vector flux, magnetic voltage, magnetomotive force, flux sources, reluctance, permeance. Fundamental laws: topological bonds, constitutive bonds (Hopkinson-Rowland law). Similarities and differences with respect to electrical circuits. Limits of the circuit model. Steady-state analysis methods. Extension to the sinusoidal periodic regime. Notes on magnetic circuits in non-linear media. Lumped parameter electric circuits in a sinusoidal periodic regime Representations of linear passive two-port networks: forward and reverse transmission matrices, admittance and impedance matrices, matrices with hybrid parameters, scattering parameters. Representation of passive or active n-port linear circuits. Network analysis methods in the presence of controlled generators, linear n-gate networks, mutually coupled linear inductors and short-circuits: ring, mesh, nodal potential, tableau methods. Models and analysis methods of circuits with distributed parameters Parameters per unit length of lines: internal impedance for the skin effect in cylindrical conductors, partial, apparent, oblique and service inductances in polyphase lines. Analysis of multiconductor lines using modal analysis in sinusoidal periodic regime. Time-domain analysis of lossless distributed parameter circuits using traveling waves. Progressive and regressive waves: reflections and refractions at resistive, inductive or capacitive terminations. Trellis diagram. Behavior in the presence of small power losses. Fortescue's symmetric component method for three-phase systems Analysis of lumped parameter circuits in periodic regime Fourier transform: properties and theorems. Discrete transformation. Definitions of powers according to international regulations. Non-ideal behavior of real components. Analysis of second order R-L-C filters: transfer functions and Bode diagram of low-pass, high-pass, band-pass, band-elimination filters. Effect of load and equivalent source resistance on filter performance. Notes on higher order filters. Methods of analysis of linear networks with lumped constants, in the time domain Laplace transform: properties and theorems. Zero-state response, free evolution. Multiple poles, pole-zero cancellation. Anti-transformation of rational functions between proper and improper ones. Notes on nonlinear circuits and analysis methods State variable method in non-degenerate networks. Notes on special materials Electromagnetic field in sinusoidal regime Eddy currents in massive conductors of circular or "thin" rectangular section affected by periodic magnetic induction in the direction normal to the sections. Current distortion in a saturable reactor powered by sinusoidal voltage. Notes on the electromagnetic wave equation and plane waves.

Knowledge of the methods of analysis of circuits and electric and magnetic fields is necessary, acquired in a basic university course in the Electrotechnics discipline.

S. Celozzi, G. Lovat Lezioni di Elettrotecnica II, ed. Esculapio, 2016 M. D’Amore Elettrotecnica, vol. II, ed. Siderea

Attendance is strongly recommended.

The exam consists of a written test and an oral test: the written test requires the numerical solution of 3 exercises, the oral includes three theory questions. You are admitted to the oral exam with a mark greater than or equal to 18. In writing, one exercise deals with transients, two exercises focus on circuits in periodic regime. In both written and oral exams, the weight of the individual exercises or questions is the same (10 points per exercise or question).

Lessons and exercises are carried out in the classroom in a traditional way, on the blackboard.