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. Voltage local and global bases. Sections. Kirchhoff's current law. Current local and global bases. KVL and KCL equations structure. Equivalent local voltage/current bases. Star and tree associated bases. Tellegen theorem. Components trajectories and universum. Topological powers and works. Topological available work.

Basic components.
Behavior. General definitions on trajectories. Component classification. Component restriction. 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 Thévenin/Norton sources. Characterizazion of resistive composite one-ports. Annihilated component. Representatons and Thévenin/Norton equivalents of resistive composite one- and two-ports. 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. Circuits with ideal diodes.

Circuits under AC operation.
Functions and complex envelopes. Constant complex envelopes. Sinusoids and phasors. Sinusoidal solution of a circuit. Phasorial circuit model. Canonic one-ports and two-ports. Composite components. Equivalent components. 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. 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 and RLCJ circuits: free, (step and 0-causal sinusoid) forced, and complete responses; other first and second order circuits. State approach. Input/output equation for II order circuits through the state. Properties of the responses. Natural frequencies. 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. Circuits with switches. Phase portrait. First return map.