Abstract
We discuss methods for model order reduction (MOR) of linear systems with many input and output variables, arising in the modeling of linear (sub) circuits with a huge number of nodes and a large number of terminals, like power grids. Our work is based on the approaches SVDMOR and ESVDMOR proposed in recent publications (1; 2; 3; 4; 5). In particular, we discuss efficient numerical algorithms for their implementation. Only by using efficient tools from numerical linear algebra, these methods become applicable for truly large-scale problems.
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Keywords
- Singular Value Decomposition
- Model Order Reduction
- Very Large Scale Integration
- Krylov Subspace Method
- Singular Value Decomposition Method
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Benner, P., Schneider, A. (2010). Model Order and Terminal Reduction Approaches via Matrix Decomposition and Low Rank Approximation. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_64
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DOI: https://doi.org/10.1007/978-3-642-12294-1_64
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