Tamara Bechtold et al 2005 J. Micromech. Microeng. 15 430 doi:10.1088/0960-1317/15/3/002
Tamara Bechtold, Evgenii B Rudnyi and Jan G Korvink
Show affiliationsIn this paper, we present three heuristic error indicators for the iterative model order reduction of electro-thermal MEMS models via the Arnoldi algorithm. Such error indicators help a designer to choose an optimal order of the reduced model, required to achieve a desired accuracy, and hence allow a completely automatic extraction of heat-transfer macromodels for MEMS. We first suggest a convergence criterion between two successive reduced models of order r and r + 1. We further propose to use a solution of the Lyapunov equations for reduced-order systems in each iteration, and alternatively to employ sequential model order reduction, which is based on consecutively applying Arnoldi and control-theory methods.
85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices
85.80.Fi Thermoelectric devices
Issue 3 (March 2005)
Received 14 June 2004, in final form 15 October 2004
Published 16 December 2004
Tamara Bechtold et al 2005 J. Micromech. Microeng. 15 430
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