Global DC-Analysis with the Aid of Standard Network Analysis Programs

摘要

We present applications of homotopy methods, which make it possible to compute multiple dc-operating points of transistor circuits with standard network analysis programs. It is possible to capture all dc-operating points at least of smaller transistor networks with the help of one- and two-parametric homotopies. Uniqueness criteria of network theory can help to find a parameterization of the homotopy path. As an example for appropriate uniqueness criteria a well known theorem of Nielsen and Willson is applied. Bounds for the parameter space can be found by the no-gain property of transistor circuits.