Stable reduced order modeling of piezoelectric energy harvesting modules using implicit Schur complement

摘要

In this work, we present an improved technique for reduced order modeling of a micro-machined piezoelectric energy harvester, presented in Kudryavtsev et al. (2015), and a novel frequency-tunable piezoelectric energy harvester with segmented electrodes for improved power generation. A computationally efficient implicit Schur complement is developed for better conditioning of the numerical models. In combination with Krylov subspace based model order reduction methods, it offers an efficient way to generate guaranteed stable reduced order models of multi-physical device models. We demonstrate an excellent match between the full-scale and the reduced order models of the harvester devices, and establish a new methodology for system-level simulation based on these reduced order numerical models.