Stable compact modeling of piezoelectric energy harvester devices

Chengdong Yuan ^[1] ; Siyang Hu ^[1] ; Tamara Bechtold ^[1]
1. [1] University of Rostock
  
  University of Rostock
  
  Kreisfreie Stadt Rostock, Alemania
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 39, Nº 2, 2020, págs. 467-480
Idioma: inglés
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Resumen
- Based on the framework of Krylov subspace-based model order reduction (MOR), compact models of the piezoelectric energy harvester devices can be generated. However, the stability of reduced piezoelectric model often cannot be preserved. In previous research studies, “MOR after Schur,” “Schur after MOR” and “multiphysics structure preserving MOR” methods have proven successful in obtaining stable reduced piezoelectric energy harvester models. Though the stability preservation of “MOR after Schur” and “Schur after MOR” methods has already been mathematically proven, the “multiphysics structure preserving MOR” method was not. This paper aims to provide the missing mathematical proof of“multiphysics structure preserving MOR.”