A new representation of Dirac impulses in time-domain computer analysis of networks with ideal switches

A novel method for representing Dirac impulses in switched networks is presented. This method can be applied in the analysis and simulation of switched networks when the ideal switch model is used. The Dirac impulses in the time domain are not approximated by large values which can give problems with conditioning and overflows. A logical representation of impulsive quantities is introduced. This representation did prove to be reliable and efficient in handling impulses which can be present at some of the switching transitions. Influence of impulses on the state of switches in the network can be easily accessed. No prior knowledge of circuit operation is needed to find the correct circuit topology after switching. The use of a state space description of the switched network allows one to predict the possibly impulsive transitions. Therefore, the impulse analysis can be performed only for a limited number of transitions.