Abstract
In this paper, reduced order models are generated using the technique of proper orthogonal decomposition (POD), also known as Karhunen-Loève decomposition (KLD) for the simulations of interconnect problems. Model order reduction is achieved by projecting the state-space of the original problems onto a subspace spanned by a few numbers of proper orthogonal modes (POMs) extracted by the POD procedure from an ensemble of system responses at a series of selected frequencies. the proper orthogonal values (POVs) corresponding to the POMs indicate the level of the importance of each POM and provide a guidance for the number of POMs to be used in the reduced order models in order to have enough accuracy. Numerical experiment results obtained from the simulations of a two-conductor interconnect and a spiral inductor demonstrate that the reduced order models generated in this way can simulate the original system more effectively and faithfully than those generated with the standard Krylov subspace method with moment matching at a single point. © 2008 IEEE.
Recommended Citation
W. Z. Lin et al., "Proper Orthogonal Decomposition in the Generation of Reduced Order Models for Interconnects," IEEE Transactions on Advanced Packaging, vol. 31, no. 3, pp. 627 - 636, Institute of Electrical and Electronics Engineers, Dec 2008.
The definitive version is available at https://doi.org/10.1109/TADVP.2008.927820
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Interconnect; Karhunen-Loève decomposition (KLD); Model order reduction; Proper orthogonal decomposition (POD)
International Standard Serial Number (ISSN)
1521-3323
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Dec 2008
