## Application of Model Order Reduction Techniques to the Simulation of Complex Interconnect Systems

Interconnects in modern electronic systems constitute very dense and complex structures that demand highly efficient methodologies for their modeling and design. Even with semi-analytical or hybrid simulation approaches, the analysis of this type of systems often implies very large models and long execution times. This project, which is developed in collaboration with the Instituto Tecnológico de Costa Rica (ITCR), deals with the exploration of numerical techniques to facilitate the handling and processing of such complex models.

Different macromodeling techniques, such as vector fitting algorithms and matrix state representations, are being explored as an additional resource that can assist the handling, concatenation, and processing of interconnect models. Stochastic frequency-domain macromodels, combining the descriptor form representation for a dynamical system with the Polynomial Chaos Expansion technique, are also being analyzed. This will allow to include the variability analysis of the system for any frequency over a desired frequency range. To reduce the number of required samples, techniques for the analytical concatenation of macromodels in descriptor form will be adapted. Together with the use of semi-analytical techniques for the sample construction, this process should guarantee the accurate representation of complex multiport systems with different random input variables, within a short time. To evaluate the performance of these techniques, the comparison with purely numerical techniques will be addressed with realistic modeling scenarios.

**Funding:** Instituto Tecnologico de Costa Rica (ITCR)

**Contact:** Luis Ernesto Carrera Retana, M. Sc., Prof. Renato Rimolo-Donadio