Regularized Local Multivariate Reduced-Order Models With Nonaffine Parameter Dependence

Martyna Mul; Valentin de la Rubia; Grzegorz Fotyga; Adam Lamęcki; Michał Mrozowski

doi:10.1109/tmtt.2019.2906303

Regularized Local Multivariate Reduced-Order Models With Nonaffine Parameter Dependence

Abstrakt

This paper addresses a singular problem, not yet discussed in the literature, which occurs when parametric reduced-order models are created using a subspace projection approach with multiple concatenated projection bases. We show that this technique may lead to the appearance of localized artifacts in the frequency characteristics of a system, even when the reduced-order projection basis is rich enough to describe the original system. These artifacts are found to be related to nonphysical poles of the transfer function that emerge whenever more than one projection basis is used, each spanning is a similar space, and these bases are directly put together to build multivariate reduced-order models. These unwanted poles are identified using the Bauer–Fike theorem and then the parametrized reduced-order model is regularized with a simple deflation procedure that completely removes the artifacts due to nonphysical resonances from the circuit characteristics. Finally, real-life numerical examples illustrate the accuracy and abilities of the proposed approach.

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Autorzy (5)

Martyna Mul mgr inż.
Valentin de la Rubia Phd
- Politechnika w Madrycie
Grzegorz Fotyga dr hab. inż.
Adam Lamęcki dr hab. inż.
Michał Mrozowski prof. dr hab. inż.

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Wersja publikacji: Accepted albo Published Version
Licencja: Copyright (2019 IEEE)

Słowa kluczowe

— COMPUTER-AIDED ENGINEERING, DESIGN AUTOMATION, FINITE-ELEMENT METHOD (FEM), PARAMETRIC MACROMODELS, PARAMETRIC MODEL-ORDER REDUCTION (PMORE).

Informacje szczegółowe

Kategoria:

Publikacja w czasopiśmie

Typ:

artykuł w czasopiśmie wyróżnionym w JCR

Opublikowano w:

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES nr 67, strony 1778 - 1789,
ISSN: 0018-9480

Język:

angielski

Rok wydania:

2019

Opis bibliograficzny:

Mul M., de la Rubia V., Fotyga G., Lamęcki A., Mrozowski M.: Regularized Local Multivariate Reduced-Order Models With Nonaffine Parameter Dependence// IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. -Vol. 67, iss. 5 (2019), s.1778-1789

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