A Mathematica™ based symbolic technique to apply linear methods to piecewise linear circuits

This paper is intended to show an approach to directly translate linear methods to PWL circuit problems. The basic idea is to hide the non-linearity to the linear method, so that the user can handle the PWL problem as if it was a linear one. So doing, writing equations for a PWL circuit can be extremely simple and fast, since the PWL formulation becomes a linear formulation. Moreover, it is possible to use common linear solvers as well. This approach is based first on symbolic formulation and calculations, then on rules application, which deliver to the symbolic processor the task to deal with the PWL aspects of the problem.