Passivity-Preserving Parameterized Model Order Reduction Using Singular Values and Matrix Interpolation
| Autor: | Tom Dhaene, Elizabeth Rita Samuel, Luc Knockaert, Francesco Ferranti |
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| Přispěvatelé: | Applied Physics and Photonics |
| Rok vydání: | 2013 |
| Předmět: |
parameterized model order reduction (MOR)
Technology and Engineering singular values MathematicsofComputing_NUMERICALANALYSIS Parameterized complexity LYAPUNOV EQUATIONS Industrial and Manufacturing Engineering Projection (linear algebra) Matrix (mathematics) SYSTEMS ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Applied mathematics passivity Electrical and Electronic Engineering projection matrix Mathematics Model order reduction Discrete mathematics ALGORITHMS Grammians Krylov subspace Linear subspace interpolation NETWORKS Electronic Optical and Magnetic Materials Singular value IBCN Interpolation |
| Zdroj: | IEEE TRANSACTIONS ON COMPONENTS PACKAGING AND MANUFACTURING TECHNOLOGY |
| ISSN: | 2156-3985 2156-3950 |
| DOI: | 10.1109/tcpmt.2013.2248196 |
| Popis: | We present a parameterized model order reduction method based on singular values and matrix interpolation. First, a fast technique using grammians is utilized to estimate the reduced order, and then common projection matrices are used to build parameterized reduced order models (ROMs). The design space is divided into cells, and a Krylov subspace is computed for each cell vertex model. The truncation of the singular values of the merged Krylov subspaces from the models located at the vertices of each cell yields a common projection matrix per design space cell. Finally, the reduced system matrices are interpolated using positive interpolation schemes to obtain a guaranteed passive parameterized ROM. Pertinent numerical results validate the proposed technique. |
| Databáze: | OpenAIRE |
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