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Efficient stochastic transmission line modeling using polynomial chaos expansion with multiple variables
Publikationstyp
Conference Paper
Date Issued
2016-02-19
Sprache
English
Author(s)
Institut
TORE-URI
Start Page
1
End Page
4
Article Number
7415076
Citation
Proceedings of 2015 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2015 : 7415076, 1-4 (2016-02-19)
Publisher DOI
Scopus ID
Publisher
IEEE
The polynomial chaos expansion (PCE) is widely used in computational electromagnetics to model stochastic parameters and uncertainty. The major drawback of PCE is that the computational costs grow exponentially with the number of stochastic variables. This work presents a systematic and numerically efficient approach for the application of PCE to cascaded transmission lines where the characteristic impedances are stochastically given and independent from each other. As an example, a stepped impedance filter is analyzed containing up to 31 transmission line segments. The modeling approach is validated with Monte-Carlo (MC) and shows a very good agreement and a significant speedup. The presented method is valid for concatenation of any passive linear circuit.
Subjects
polynomial chaos expansion (PCE)
transmission line theory
uncertainty
DDC Class
600: Technik