Environmental Engineering Reference
In-Depth Information
Eq.(10.21) indicates that the capacitor in N maps to a capacitor of the
same capacitance in the adjoint network.
In a very like manner as that for capacitors, one can show that an
inductor in periodically switched linear circuits is also an inductor of
the same inductance in the adjoint network and is characterized by
3.4
Controlled Sources
The derivation of the adjoint network of controlled sources is illus-
trated using a voltage-controlled voltage source with the voltage of the
controlling branch be denoted by and that of the controlled branch
be denoted by where A is the voltage gain. Note the
current of the controlling branch is zero whereas that of the con-
trolled branch is determined by the circuit in which the controlled
branch resides. Writing (10.14) for the controlled source
To have the above expression hold for arbitrary
and
we impose
Clearly the element governed by (10.24) is a current-controlled current
source. Note the magnitude of the current gain is the same as the voltage
gain. The controlling and controlled branches are interchanged. The
adjoint network of other controlled sources can be derived in a similar
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