Providing the basic concepts of circuit theory in linear circuits. The methods are applied in the description of the three phase distribution systems.
Curriculum
scheda docente
materiale didattico
Analysis of networks without memory: general methods of nodes and meshes (loops), equivalent topological transformations and Thevenin's theorem. Maximum power transfer theorem. Ideal switches. Laplace transform for solving linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of fractional rational functions. Extension to the Laplace domain of the methods for solving circuits. Transient and permanent response. Free and forced answer. Stability in circuits. Analysis of permanent regimes. Continuous circuits. Sinusoidal regime. Phasor method. Impedance, admittance and network functions in the frequency domain. Three-phase systems. Active, reactive and complex power. Comparison between Laplace domain and frequency domain. Resonant circuits. Notes on the harmonic regime and Fourier series. Filtering properties of ideal passive and active circuits. Main representations of balanced and unbalanced two-doors. Two-port interconnection.
Programma
Basics of Electricity and Magnetism. Maxwell's equations. From fields to circuits: limits and validity of circuit representation. Kirkhhoff's laws. Topological characteristics of the circuits. Series and parallel connections, nodes and links. Introduction to graph theory. Fundamental cuts and meshes. Incidence matrices. Conventions for generators and users. Electric power and passivity. Tellegen's theorem. Reciprocity. Bipole, multipole, port and multiport. Linearity, time-invariance, memory. Constitutive laws of passive two-poles R L C and of ideal voltage and current generators. Duality. Controlled generators, Magnetic Circuits, Hopkinson's Law, mutual inductances, gyrator, ideal and null transformer.Analysis of networks without memory: general methods of nodes and meshes (loops), equivalent topological transformations and Thevenin's theorem. Maximum power transfer theorem. Ideal switches. Laplace transform for solving linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of fractional rational functions. Extension to the Laplace domain of the methods for solving circuits. Transient and permanent response. Free and forced answer. Stability in circuits. Analysis of permanent regimes. Continuous circuits. Sinusoidal regime. Phasor method. Impedance, admittance and network functions in the frequency domain. Three-phase systems. Active, reactive and complex power. Comparison between Laplace domain and frequency domain. Resonant circuits. Notes on the harmonic regime and Fourier series. Filtering properties of ideal passive and active circuits. Main representations of balanced and unbalanced two-doors. Two-port interconnection.
Testi Adottati
- BASIC CIRCUIT THEORY BY CHARLES A. DESOER- ERNEST S. KUHBibliografia Di Riferimento
- BASIC CIRCUIT THEORY BY CHARLES A. DESOER- ERNEST S. KUHModalità Erogazione
Written and oral test. Intermediate verification tests are foreseen.Modalità Frequenza
The intermediate tests are reserved for attending students. Passing the intermediate tests allows students to be exempt from taking the written exam relating to the topics covered in the intermediate tests.Modalità Valutazione
The exam consists of solving exercises and answering questions about the course programme. Trials are planned.
scheda docente
materiale didattico
Analysis of networks without memory: general methods of nodes and meshes (loops), equivalent topological transformations and Thevenin's theorem. Maximum power transfer theorem. Ideal switches. Laplace transform for solving linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of fractional rational functions. Extension to the Laplace domain of the methods for solving circuits. Transient and permanent response. Free and forced answer. Stability in circuits. Analysis of permanent regimes. Continuous circuits. Sinusoidal regime. Phasor method. Impedance, admittance and network functions in the frequency domain. Three-phase systems. Active, reactive and complex power. Comparison between Laplace domain and frequency domain. Resonant circuits. Notes on the harmonic regime and Fourier series. Filtering properties of ideal passive and active circuits. Main representations of balanced and unbalanced two-doors. Two-port interconnection.
Programma
Basics of Electricity and Magnetism. Maxwell's equations. From fields to circuits: limits and validity of circuit representation. Kirkhhoff's laws. Topological characteristics of the circuits. Series and parallel connections, nodes and links. Introduction to graph theory. Fundamental cuts and meshes. Incidence matrices. Conventions for generators and users. Electric power and passivity. Tellegen's theorem. Reciprocity. Bipole, multipole, port and multiport. Linearity, time-invariance, memory. Constitutive laws of passive two-poles R L C and of ideal voltage and current generators. Duality. Controlled generators, Magnetic Circuits, Hopkinson's Law, mutual inductances, gyrator, ideal and null transformer.Analysis of networks without memory: general methods of nodes and meshes (loops), equivalent topological transformations and Thevenin's theorem. Maximum power transfer theorem. Ideal switches. Laplace transform for solving linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of fractional rational functions. Extension to the Laplace domain of the methods for solving circuits. Transient and permanent response. Free and forced answer. Stability in circuits. Analysis of permanent regimes. Continuous circuits. Sinusoidal regime. Phasor method. Impedance, admittance and network functions in the frequency domain. Three-phase systems. Active, reactive and complex power. Comparison between Laplace domain and frequency domain. Resonant circuits. Notes on the harmonic regime and Fourier series. Filtering properties of ideal passive and active circuits. Main representations of balanced and unbalanced two-doors. Two-port interconnection.
Testi Adottati
- BASIC CIRCUIT THEORY BY CHARLES A. DESOER- ERNEST S. KUHBibliografia Di Riferimento
- BASIC CIRCUIT THEORY BY CHARLES A. DESOER- ERNEST S. KUHModalità Erogazione
Written and oral test. Intermediate verification tests are foreseen.Modalità Frequenza
The intermediate tests are reserved for attending students. Passing the intermediate tests allows students to be exempt from taking the written exam relating to the topics covered in the intermediate tests.Modalità Valutazione
The exam consists of solving exercises and answering questions about the course programme. Trials are planned.