A two level transient analysis of a circuit containing transmission lines modeled by segments of lumped elements

This paper presents a practical implementation of traditional numerical methods for computing the transient response of any arbitrary electronic circuit with particular emphasis on handling transmission lines, each of which is modeled as RLGC segments. This technique subdivided the transient analysis into 2 levels. The first level deals with a normal circuit analysis in which each transmission line is replaced by a simple lumped 2 port companion model having only 3 resistors and 2 current sources. However, the N-segmented model of transmission line must be separately analysed for preparing and updating the transmission line lumped companion model. The analysis at this second level can be made computationally efficient by bypassing repeated matrix calculation. A simulation result of this technique is presented and compared with results obtained by using the lumped approximation with 25 and 100 segments