Model order reduction for strictly passive and causal distributed systems
This paper presents a class of algorithms suitable for model reduction of distributed systems. Distributed systems are not suitable for treatment by standard model-reduction algorithms such as PRIMA, PVL, and the Arnoldi schemes because they generate matrices that are dependent on frequency (or othe...
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| Vydáno v: | Annual ACM IEEE Design Automation Conference: Proceedings of the 39th conference on Design automation : New Orleans, Louisiana, USA; 10-14 June 2002 s. 46 - 51 |
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| Jazyk: | angličtina |
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New York, NY, USA
ACM
10.06.2002
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| Edice: | ACM Conferences |
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| ISBN: | 1581134614, 9781581134612 |
| ISSN: | 0738-100X |
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| Abstract | This paper presents a class of algorithms suitable for model reduction of distributed systems. Distributed systems are not suitable for treatment by standard model-reduction algorithms such as PRIMA, PVL, and the Arnoldi schemes because they generate matrices that are dependent on frequency (or other parameters) and cannot be put in a lumped or state-space form. Our algorithms build on well-known projection-based reduction techniques, and so require only matrix-vector product operations and are thus suitable for operation in conjunction with electromagnetic analysis codes that use iterative solution methods and fast-multipole acceleration techniques. Under the condition that the starting systems satisfy system-theoretic properties required of physical systems, the reduced systems can be guaranteed to be passive. For distributed systems, we argue that causality of the underlying representation is as important a consideration. |
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| AbstractList | This paper presents a class of algorithms suitable for model reduction of distributed systems. Distributed systems are not suitable for treatment by standard model-reduction algorithms such as PRIMA, PVL, and the Arnoldi schemes because they generate matrices that are dependent on frequency (or other parameters) and cannot be put in a lumped or state-space form. Our algorithms build on well-known projection-based reduction techniques, and so require only matrix-vector product operations and are thus suitable for operation in conjunction with electromagnetic analysis codes that use iterative solution methods and fast-multipole acceleration techniques. Under the condition that the starting systems satisfy system-theoretic properties required of physical systems, the reduced systems can be guaranteed to be passive. For distributed systems, we argue that causality of the underlying representation is as important a consideration. |
| Author | Daniel, Luca Phillips, Joel |
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| Keywords | distributed systems passive reduced order modeling |
| Language | English |
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| SubjectTerms | Applied sciences Computing methodologies -- Modeling and simulation Electronics Exact sciences and technology Hardware -- Hardware validation Hardware -- Hardware validation -- Functional verification -- Simulation and emulation Integrated circuits Integrated circuits by function (including memories and processors) Mathematics of computing -- Mathematical analysis -- Functional analysis -- Approximation Mathematics of computing -- Mathematical analysis -- Numerical analysis -- Interpolation Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices Theory of computation -- Design and analysis of algorithms -- Approximation algorithms analysis |
| Title | Model order reduction for strictly passive and causal distributed systems |
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