TLM Model Order Reduction

Abstract

The Finite-Difference Time-Domain (FDTD) method, Finite-Integration Technique (FIT) and the Transmission Line Matrix (TLM) method provide for discrete approximations of electromagnetic boundary value problems cast in state-space forms. The dimension of the generated state-space models is usually very large. Applications of the Reduced Order Modeling (ROM) to the FDTD, FIT and TLM methods yield considerable reduction in the computational effort necessary for the solution of the discrete models; furthermore, they can be used to generate compact discrete models of the original electromagnetic systems. While techniques for Model Order Reduction (MOR) based on moment matching have been studied extensively in the case of FDTD and FIT, they have not yet been considered in detail in the context of TLM approximations of electromagnetic systems.