Portale di Ateneo - En.Unibs.it

Kirchhoff's model.
Circuit structure. Planar circuits. Notation. Variables of Kirchhoff model. Sequences, paths and loops. Connected circuits. Complete mesh sets. Kirchhoff's voltage law. Node-to-node voltage bases. Voltage local bases. Terminal-to-terminal voltage bases. Sections. Kirchhoff's current law. Current local bases. Current bases. KVL and KCL equations structure. Pairs of equivalent voltage/current local bases. Pairs of star and tree associated/ antiassociated bases. Tellegen theorem. Components processes and universum. Topological powers and works. Topological available work.

Basic components.
Behavior. General definitions on processes. Component classification. Resistive one-ports and two-ports. Ideal operational amplifiers. Inductive and capacitive one-ports and two-ports.

Composite components and equivalent components.
Composite components. Noteworthy structures of composite one- and two-ports. Noteworthy composite one- and two-ports. Equivalent components. Terminal inversion equivalent components. Equivalent one-ports of trivial, resistive, inductive and capacitive composite one-ports and two-ports, and of loaded ideal transformers. Equivalence between resistive Thévenin/Norton sources. Characterizazion of resistive composite one-ports. Annihilated component. Component restriction. Thévenin/Norton theorems for resistive composite one- and two-ports. Star/delta transforms. Characteristic of non-linear composite one-ports. Substitution theorems.

Circuits under DC operation.
Constant solution of a circuit. Node and mesh equations. Existence and superposition theorems. Network functions. One-port and two-port parameters and transfer functions. Available power and matching. Maximum power transfer from a real RST. Circuits with ideal diodes.

Circuits under AC operation.
Functions and complex envelopes. Constant complex envelopes. Phasor transform and its properties. Sinusoidal solution of a circuit. Phasor circuit model. Canonic one-ports and two-ports. Composite components. Equivalent components. Star/delta transforms. Substitution theorems. Node and mesh equations. Existence and superposition theorems. Network functions. Input/output resonance. Frequency sensitivity of network functions. Resonators. Periodic functions. Average, active, reactive power. Complex power. Immittances of passive canonic linear one-ports. Available power and matching. Maximum power transfer from a real ATS. Energy. Quality factors. Filters. Low-pass, high-pass, band-pass, and band-cut voltage and current elementary filters. Multi-frequency operations.

Circuits under dynamic operation.
RCJ circuit: free, (step and 0-causal sinusoid) forced, and complete responses; complements. Other first order circuits. RCLJ circuit: free, (step and 0-causal sinusoid) forced, and complete responses; complements. Other second order circuits. State approach. Input/output equation through the state. Natural modes and frequencies. Natural frequencies of reciprocal and passive RCLM circuits. Properties of the responses. Impulse response in the state description. Dirac delta function and higher-oder impulses. Distributional components. Formal techniques for the impulse response calculation. Impulse response in the input/output description. Impulse and forced responces (convolution). Circuits with switches (CS circuits). Phase portrait. First return map.