Environmental Engineering Reference
In-Depth Information
It is seen that the two-step algorithm yields very accuracy result with
the relative difference
The preceding example reveals an important characteristic of mixed-
mode switching circuits at switching instants, that is the ex-
pression of network variables used in the forward step may differ from
that used in the backward step. The reasons for this are as follows :
i)
The input of circuits immediately before switching may differ from
that immediately after switching. This is particularly true if the input
contains impulses at switching instants and step functions with the
step transition at switching instants.
ii)
Impulsive network variables may exist at switching instants. Dirac
impulses make their appearance in the forward step only and die out
at the end of the forward step.
iii)
The initial condition of circuit elements with memory at the onset of
the backward step may differ from that of these element at the onset
of the forward step.
3. Backward Euler Based Algorithms
The preceding numerical Laplace inversion based two-step algorithm
is most effective for linear circuits, and can not be applied to nonlinear
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