Model reduction of linear networks with nonlinear elements

In this paper a method for the reduction of linear networks with a large number of nonlinear elements is presented. In the standard approach the nonlinear elements are extracted from the linear part and the linear part is reduced. A large number of nonlinear elements leads to a large number of ports for the interconnection of linear and nonlinear network parts which is a strong limitation for the reduction. A method for the reduction of the number of ports of the linear part which enables a more efficient model order reduction with standard projection techniques is presented. The method is based on decomposition of the equations of the nonlinear elements which are explicitly described by one current or voltage function. By reducing an example model the method is illustrated and validated.