AIMS AND LEARNING OUTCOMES

It is expected that at the end of this subject the student will be able to analyze linear time-invariant resistive circuits and first-order and second-order dynamical circuits (transitory and steady-state analysis), by correctly writing topological equations and descriptive equations. During the lessons a set of tools are proposed; when dealing with a specific problem, the students have to decide what subset of tools can be (or has to be) used to solve it. This capacity of solving non-trivial problems is one of the main elements of the scientific cultural baggage of an engineer.

TEACHING METHODS

About 60 classroom hours, taken remotely, through Teams platform. During other practice lessons (with elective participation), further exercises and examples are proposed

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SYLLABUS/CONTENT

Fundamentals of circuit theory (circuit elements; models; elementary electrical variables; graphs and circuits; Kirchhoff's laws; Tellegen's theorem).

Two-terminal resistive elements and elementary circuits (significant two-terminal elements; Thévenin-Norton models; concept of electrical power; series and parallel connections).

Linear resistive two-ports and elementary circuits (six representations and properties; significant two-port elements; cascade, series and parallel connections).

General resistive circuits (Tableau analysis; superposition and substitution theorems; Thévenin-Norton theorems).

Elementary dynamical circuits (significant circuit elements; concept of state; transient and stationary steady-state solutions of first-order circuits with various sources: constant, piecewise-constant, impulsive; stability; generalizations to second- and higher-order circuits).

Sinusoidal steady-state analysis (phasors and sinusoidal solutions; phasor formulations of circuit equations; impedance and admittance of two-terminal elements; sinusoidal steady-state solutions; active, reactive and complex powers).

Periodical steady-state analysis (analysis of circuits with many sinusoidal inputs; periodical signals and Fourier series; mean value; RMS value theorem).

RECOMMENDED READING/BIBLIOGRAPHY

- M. Parodi, M. Storace, Linear and Nonlinear Circuits: Basic & Advanced Concepts, Vol. 1, Lecture Notes in Electrical Engineering, Springer, 2017, ISBN: 978-3-319-61234-8 (ebook) or 978-3-319-61233-1 (hardcover), doi: 10.1007/978-3-319-61234-8.

- M. Parodi, M. Storace, Linear and Nonlinear Circuits: Basic & Advanced Concepts, Vol. 2, Lecture Notes in Electrical Engineering, Springer, 2020, ISBN: 978-3-030-35044-4 (ebook) or 978-3-030-35043-7 (hardcover), doi: 10.1007/978-3-030-35044-4.

- L.O. Chua, C.A. Desoer, E.S. Kuh, Circuiti lineari e non lineari, Jackson, Milano, 1991.

- C.K. Alexander, M.N.O. Sadiku, Circuiti elettrici (3A edizione), MacGraw-Hill, Milano, 2008.

- M. de Magistris, G. Miano, Circuiti, Springer, Milano, 2007.

- G. Biorci, Fondamenti di elettrotecnica: circuiti, UTET, Torino, 1984.

- V. Daniele, A. Liberatore, S. Manetti, D. Graglia, Elettrotecnica, Monduzzi, Bologna, 1994.

- M. Repetto, S. Leva, Elettrotecnica, CittàStudi, Torino, 2014.