Environmental Engineering Reference
In-Depth Information
where
A
is the incidence matrix, and are the branch current
and voltage vectors, respectively, and is the nodal voltage vector.
Differentiating (11.51) with respect to a circuit element
gives
Eqs.(11.52) are the governing equations of a derived network whose
network variables are the derivatives of those of
N
with respect to
is called the sensitivity network of Clearly, the solution of
gives the sensitivity of
N
with respect to Note that by changing the
element to we obtain the sensitivity network of Continuing
this process, one can derive all sensitivity networks. Important to note
that these sensitivity networks have the same topology as that of
N
.
As an illustration, consider a capacitor
C.
Since to
derive the sensitivity network of the capacitor, we differentiate the above
expression with respect to
C
Search WWH ::
Custom Search