English

Reduction of large-scale RLCk models via low-rank balanced truncation

Numerical Analysis 2023-11-16 v1 Hardware Architecture Computational Engineering, Finance, and Science Numerical Analysis

Abstract

Model order reduction (MOR) is an important step in the design process of integrated circuits. Specifically, the electromagnetic models extracted from modern complex designs result in a large number of passive elements that introduce limitations in the simulation process. MOR techniques based on balanced truncation (BT) can overcome these limitations by producing compact reduced-order models (ROMs) that approximate the behavior of the original models at the input/output ports. In this paper, we present a low-rank BT method that exploits the extended Krylov subspace and efficient implementation techniques for the reduction of large-scale models. Experimental evaluation on a diverse set of analog and mixed-signal circuits with millions of elements indicates that up to x5.5 smaller ROMs can be produced with similar accuracy to ANSYS RaptorX ROMs.

Keywords

Cite

@article{arxiv.2311.08478,
  title  = {Reduction of large-scale RLCk models via low-rank balanced truncation},
  author = {Christos Giamouzis and Dimitrios Garyfallou and Anastasis Vagenas and Nestor Evmorfopoulos},
  journal= {arXiv preprint arXiv:2311.08478},
  year   = {2023}
}