MEMS Heat Transfer Arnoldi-based Macromodels and the Study of Minimum Required Orders

10.6180/jase.2005.8.3.01

Yao-Joe Yang；Che-Chia Yu；K.-Y. Shen

MEMS ； Model Order Reduction ； Heat Transfer ； Arnoldi Algorithm ； Macromodel

淡江理工學刊

8卷3期（2005 / 09 / 01）

185 - 190

英文

In this work, a model order reduction (MOR) technique for heat-transfer system-level modeling is presented. A heat transfer solver using the finite difference method (FDM), which is appropriate for MEMS thermal analysis, is implemented. The numerical models generated by the FDM solver then were successfully reduced into low-order compact models by an Arnoldi-based model-order-reduction technique. The compact macromodels can be easily inserted into system-level or circuit simulators. We have demonstrated that the macromodel results for a thermal actuator are in good agreement with the experimental results. We also use the same technique on periodic surface heat flux problems to observe the relationship between frequency and minimum required order of the reduced model under specific error tolerance.