Parameterized Model Order Reduction of Electromagnetic Systems Using Multiorder Arnoldi

This paper presents an efficient algorithm to create parametric reduced order models of distributed electromagnetic systems that have arbitrary functions of frequency (due to material properties, boundary conditions, delay elements) and design parameters. The proposed method is based on a multiorder Arnoldi algorithm used to implicitly calculate the moments with respect to frequency and design parameters, as well as the cross-moments. This procedure generates parametric reduced order models that are valid over the desired parameter range without the need to redo the reduction when design parameters are changed. Numerical examples are provided to illustrate the validity of the proposed algorithm.