Environmental Engineering Reference
In-Depth Information
This is the initial condition of the capacitor in phase
The current of
the capacitor in phase is given by
Following the same arguments as those for linear capacitors, to ensure
that
vanishes outside phase
the charge stored in the capacitor at
the end of phase
denoted by
must be
extracted from
The MNA formulation of the nonlinear capacitor is based on (2.14)
and (2.23) exclusively and is given in Fig.2.8.
2.6.2 Inductors
Inductors in mixed-mode switching circuits can be handled in a similar
manner as that for capacitors. The effect of the magnetic flux stored in
the inductors in phase on the behavior of circuits in the following
phase must be considered. Fig. 2.9 shows the matrix stamps of linear
and nonlinear inductors.
2.7 Formulation of Circuits with
Externally Clocked Switches
As stated earlier that to facilitate analysis, an externally clocked circuit
with input and an external clock of
K
clock phases can be con-
sidered as an assembly of
K
time-invariant sub-circuits interconnected
via their initial and final conditions of the elements of the circuit with
memory. Each sub-circuit must ensure that its network variables satisfy
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