Automated reduced model order selection

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Abstract

This letter proposes to automate generation of reduced-order models used for accelerated S-parameter computation by applying a posteriori model error estimators. So far, a posteriori error estimators were used in Reduced Basis Method (RBM) and Proper Orthogonal Decomposition (POD) to select frequency points at which basis vectors are generated. This letter shows how a posteriori error estimators can be applied to automatically select the order of the reduced model in second-order Model Order Reduction (MOR) methods. Three different error estimators are investigated and compared in order to arrive at a new MOR scheme that is fast, reliable, and fully automated. The effectiveness of the proposed approach is verified by very high accuracy of the computed scattering parameters (S-parameters) for an example of a waveguide filter over a prescribed frequency band.

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Rewienski, M., Fotyga, G., Lamecki, A., & Mrozowski, M. (2015). Automated reduced model order selection. IEEE Antennas and Wireless Propagation Letters, 14, 382–385. https://doi.org/10.1109/LAWP.2014.2364849

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