Model Order Reduction for Parameter Dependent Substructured Systems using Krylov Subspaces

During the development of technical products, different components are usually designed and modelled in different departments leading to a modular setup of technical systems and simulation models. Therefore, it is desirable to perform model order reduction on component level and to assemble the reduced systems. In this context, moment matching methods have shown to be advantageous, since moments matched on component level are still matched in the assembled system. In this contribution these moment matching properties of systems within a modular setup are extended to parametric systems with a modular setup. It will be shown that parametric moment matching on component level delivers an assembled parametric system in which the transfer function and its gradient are matched at desired parameter samples. The theoretical results are illustrated with a numerical example.