SAMPLED-DATA SIMULATION OF CIRCUITS WITH INTERNALLY CONTROLLED SWITCHES - Computer Methods for Analysis of Mixed-Mode Switching Circuits - page 187

Step 5 Re-evaluate the switching variable vector with the newly obtained

initial condition. If experiences a sign change from the time step
immediately before switching and

go to Step 4 . Otherwise,

go to Step 6 .

Sampled-data simulation proceeds.

Step 6

5. Summary
The analysis of circuits with internally controlled switches has been
presented. The definition of the switching variable of internally con-
trolled switches typically encountered in mixed-mode switching circuits
has been presented. We have shown that the switching variable of each
internally controlled switch must be evaluated in each step of simulation
in order to determine the state of the switch. We have also shown that
impulses generated at switching instants may lead to the violation of
switching conditions of other internally controlled switches in the cir-
cuits and trigger the switching of these switches. This process continues
until there are no more violations of the switching condition of internally
controlled switches. The final topology of the circuit at the switching
instant can then be determined and the consistent initial can be deter-
mined.
The method presented in this chapter does not involve any approxi-
mation, nor does it require the storage of the numerical value of Dirac
impulse function. The sampled-data simulation algorithms, together
with the methods of this chapter can be integrated to analyze linear cir-
cuits with both internally controlled and externally clocked switches. For
nonlinear circuits with both internally controlled and externally clocked
switches, the method allows us to determine the topology of the circuit
at switching instants and the consistent initial conditions of the new cir-
cuit so that algorithms for nonlinear circuits, such as Newton-Raphson
and the method presented in Chapter 7, can be employed to analyze
these circuits effectively.