An Iterative-decomposed Piecewise-linear Representation

In this paper a new model description for the representation of one-dimensional piecewise-linear (PWL) characteristics is presented. The description can be efficiently applied to model both, uni-valued and multivalued PWL characteristics, and it has the advantage of obtaining the model parameters directly from the graphic coordinates. The description is denoted as an Iterative and Decomposed (ID) model. It is described as a decomposed one, because the independent and dependent variables in the mathematical formulation, that describes an arbitrary PWL characteristic, are treated separately. It is also called iterative, because the particular representation of each PWL segment depends only on the value of one parameter included in the mathematical formulation. An example is presented and it illustrates the potential application of this description in the modeling and analysis of nonlinear circuits.