Sampled-Data Simulation of Circuits with Internally Controlled Switches

Summary

The analysis of circuits with internally controlled switches has been presented. The definition of the switching variable of internally controlled 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 circuits 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 determined.

The method presented in this chapter does not involve any approximation, 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 circuits 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 circuit 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.