Environmental Engineering Reference
In-Depth Information
6. Discussion
In this section we examine factors that affect the efficiency and ac-
curacy of sampled-data simulation of periodically switched nonlinear
circuits.
6.1 Stability
The stability of the method can be examined from that of the inter-
polating Fourier series and that of the sampled-data simulation of linear
circuits. Interpolating Fourier series has superior numerical stability
over polynomial-based interpolation schemes, as demonstrated in [63].
It was shown in [18] that sampled-data analysis for linear circuits is an
A-stable numerical integration algorithm. For a stable linear circuit it
guarantees a stable numerical solution.
6.2 The Maximum Step Size
The upper bound of the step size is subject to the constraint set by
Nyquist theorem. Specifically, because the highest frequency of the input
signal of the Volterra circuits is the frequency of the highest-order term
of the interpolating Fourier series given by
the lower bound of the sampling frequency is therefore given by
from which the maximum step size is obtained
The actual step size is determined from both the simulation accuracy
and CPU time and is usually much smaller than
6.3 Accuracy
The accuracy of the method depends upon the following factors :
The order of Taylor series expansion in representation of the charac-
teristics of nonlinear elements.
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