Environmental Engineering Reference
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and
Once is available, can be solved from (11.21). An no-
table advantage of this approach is that no approximation is made in
the derivation of the method. The method is therefore exact. It yields
accurate results provided that M , P and their derivatives are computed
to high precision. The main drawback is that one analysis of the net-
work only yields the sensitivity to one element. If the sensitivities of the
response with respect to a large number of elements are needed, the cost
of computation becomes excessive.
2.2 Sensitivity Analysis Using Adjoint Network
Sensitivity analysis of ideal switched capacitor networks using adjoint
network offers superior computational efficiency as it yields the sensi-
tivities to all circuit parameters in one network analysis of the original
network and one network analysis of the corresponding adjoint network
[7, 79, 84, 85]. The adjoint network approach for ideal switched capacitor
networks can be applied to sensitivity analysis of periodically switched
linear circuits directly when the clock frequency of these circuits is much
higher than the signal frequency. We detail this in the followings.
It was shown in the preceding section that when the clock frequency
is much higher than the signal frequency, the frequency response
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