8.4. Operating Regimes#
Steady, DC
Transient dynamics.
Periodic, AC
8.4.1. Steady-State Regime - Direct Current#
The operating regime of a circuit in direct current involves the value of the electric current and the system variables being constant—in real life, “sufficiently constant.”
In this operating regime, capacitors behave like open circuits, since \(i = C \frac{dv}{dt} = 0\); inductors behave like short circuits, \(v = L \frac{d i}{d t} = 0\).
8.4.2. Transient Regime#
Typical transient problems between two steady-state conditions include the dynamics of charging/discharging a capacitor following the closing/opening of a switch.
RLC Circuit. todo
8.4.3. Periodic Regime - Alternating Current#
The harmonic periodic regime is characteristic of the operation of electromagnetic circuits in alternating current, which is present in many modern electrical networks, from production (through generators) to transformation to high voltage for efficient long-distance transmission, to transformation to medium and then low voltage for distribution and use.
Using the formalism of phasors to represent harmonic periodic quantities at a constant frequency \(f = \frac{\Omega}{2 \pi}\), one can write:
with \(V \in \mathbb{C}\). todo
Circuit Analysis.
Power Analysis.