Learning objectives
The aim of the course is to show the main techniques for linear circuit analysis
Prerequisites
Students must be familiar with the concepts and methods treated in the courses of the first year of the degree.
Course unit content
Current and voltage
Direct current circuits analysis: resistances, voltage and current independent sources, power, efficency. Mesh analysis, node analysis. Thevenin's theorem, Norton's theorem.
Stationary magnet field: magnetic circuits. Inductance coefficient.
Quasi-stationary electromagnetic field:assumptions' validity.
δB/δt and δD/δt effects.
Stray inductance and capacitance.
Electric circuits transient analysis in time domain.
Sinusoidal alternating waveforms. Phasors, active and reactive power.
Resonant circuits. Filters. Bode plot.
Introduction to polyphase systems.
Mesh analysis and node analysis of electric circuit with voltage and current dependent source.
Thevenin's theorem and Norton's theorem.
Two-port systems: impedance, admittance and hybrid parameters, voltage and current gains. Different connections.
Electric circuits transient analysis in Laplace domain and state variables' domain.
Magnetic coupled circuits: equations, reflected impedance.
Full programme
a) Steady state electrodynamics
Voltage and currents. Resistances. Voltage and current independent generators. Current controlled generators and voltage controlled generators. Power and efficiency.
b) Direct current circuits analysis
Kirchhoff principles. Mesh analysis, node analysis. Superposition principle. Thevenin's theorem, Norton's theorem.
c) Steady state electric and magnetic fields
Electric capacity. Dielectrics and electrical insulation. Magnetic circuits and permanent magnets.
d)Quasi stationary electromagnetic field
Validity assumptions. δB/δt and δD/δt effects.
Stray inductance and stray capacitance. Capacitor and inductor and their energetic behavior. Self and mutual inductances. Two ports electric network theory. Impedance, admittance and hybrid parameters matrices, voltage and current gains. Two ports connections.
e) Electric circuits with sinusoidal supply
Phasors, active and reactive power. Resonant circuits. Filters.
Introduction to polyphase systems. Three phase systems. Wye and delta connections.
f) Frequency domain electric circuits analysis
Fourier and Laplace transforms. Transfer functions. Series and parallel resonance. Filters. Bode diagrams.
g) Electric circuits in dynamic conditions
Analysys of electric circuits in time domain and Laplace transform domain. State variables introduction.
Bibliography
Appunti del docente.
C. K. Alexander, M. N. O. Sadiku, ”Circuiti elettrici”, McGraw-Hill.
I.D. Mayergoyz, W. Lawson, “Elementi di teoria dei circuiti”, UTET.
R.C. Dorf, J.A. Svoboda, “Circuiti elettrici”, Apogeo, Milano.
Teaching methods
Lectures and numerical exercices
Assessment methods and criteria
Written and oral examination
Other information
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