Error Indicators for Fully Automatic Extraction of Heat-Transfer Macromodels for MEMS
نویسندگان
چکیده
In 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 heattransfer macromodels for MEMS. We first suggest a convergence criterion between two successive reduced models of order and . 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. key words: error estimates, model order reduction, Arnoldi process, heat-transfer macromodel
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