FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS CONTAINING SOPHISTICATED TRANSISTOR MODELS

An efficient algorithm is presented for finding all solutions of piecewise-linear resistive circuits containing sophisticated transistor models such as the Gummel-Poon model or the Shichman-Hodges model. When a circuit contains these nonseparable models, the hybrid equation describing the circuit takes a special structure termed pairwise-separability (or tuplewise-separability). This structure is effectively exploited in the new algorithm. A numerical example is given, and it is shown that all solutions are computed very rapidly.