Environmental Engineering Reference
In-Depth Information
change in the state of the switch. At the switching instant, the following
equation holds [14, 15]
The switching time is obtained by solving (8.12) using iterative algo-
rithms, such as Newton-Raphson [14].
3. Inconsistent Initial Conditions
It was shown in Chapter 5 that when a switching occurs at
the value of network variables immediately after the switching can be
written as
where denotes the consistent initial condition and denotes
the inconsistent initial condition. Note both and are finite and
can be stored. Also, only makes its appearance at the switching
instant. If no impulsive network variables will exist in the
circuit. Otherwise, inconsistent initial conditions will be encountered.
together with are used to test each internally controlled
switch at switching instants to determine whether a violation of the
switching condition occurs. Because the switching of one internally con-
trolled switch may trigger the switching of other internally controlled
switches, either due to or the evaluation of the switching
condition of all internally controlled switches must continue until there
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