Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging

Utilization of fast surrogate models has become a viable alternative to direct handling of full-wave electromagnetic (EM) simulations in EM-driven design. Their purpose is to alleviate the difficulties related to high computational cost of multiple simulations required by the common numerical proced...

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Main Authors: Anna Pietrenko-Dabrowska, Slawomir Koziel
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9091118/
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author Anna Pietrenko-Dabrowska
Slawomir Koziel
author_facet Anna Pietrenko-Dabrowska
Slawomir Koziel
author_sort Anna Pietrenko-Dabrowska
collection DOAJ
description Utilization of fast surrogate models has become a viable alternative to direct handling of full-wave electromagnetic (EM) simulations in EM-driven design. Their purpose is to alleviate the difficulties related to high computational cost of multiple simulations required by the common numerical procedures such as parametric optimization or uncertainty quantification. Yet, conventional data-driven (or approximation) modeling techniques are severely affected by the curse of dimensionality. This is a serious limitation when it comes to modeling of highly nonlinear antenna characteristics. In practice, general-purpose surrogates can be rendered for the structures described by a few parameters within limited ranges thereof, which is grossly insufficient from the utility point of view. This paper proposes a novel modeling approach involving variable-fidelity EM simulations incorporated into the recently reported nested kriging modeling framework. Combining the information contained in the densely sampled low- and sparsely sampled high-fidelity models is realized using co-kriging. The resulting surrogate exhibits the predictive power comparable to the model constructed using exclusively high-fidelity data while offering significantly reduced setup cost. The advantages over conventional surrogates are pronounced even further. The presented modeling procedure is demonstrated using two antenna examples and further validated through the application case studies.
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spelling doaj.art-ee6595b352c5469293c9d2f97d40e6cf2022-12-21T22:23:56ZengIEEEIEEE Access2169-35362020-01-018910489105610.1109/ACCESS.2020.29939519091118Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-KrigingAnna Pietrenko-Dabrowska0https://orcid.org/0000-0003-2319-6782Slawomir Koziel1https://orcid.org/0000-0002-9063-2647Faculty of Electronics, Telecommunications, and Informatics, Gdansk University of Technology, Gdansk, PolandFaculty of Electronics, Telecommunications, and Informatics, Gdansk University of Technology, Gdansk, PolandUtilization of fast surrogate models has become a viable alternative to direct handling of full-wave electromagnetic (EM) simulations in EM-driven design. Their purpose is to alleviate the difficulties related to high computational cost of multiple simulations required by the common numerical procedures such as parametric optimization or uncertainty quantification. Yet, conventional data-driven (or approximation) modeling techniques are severely affected by the curse of dimensionality. This is a serious limitation when it comes to modeling of highly nonlinear antenna characteristics. In practice, general-purpose surrogates can be rendered for the structures described by a few parameters within limited ranges thereof, which is grossly insufficient from the utility point of view. This paper proposes a novel modeling approach involving variable-fidelity EM simulations incorporated into the recently reported nested kriging modeling framework. Combining the information contained in the densely sampled low- and sparsely sampled high-fidelity models is realized using co-kriging. The resulting surrogate exhibits the predictive power comparable to the model constructed using exclusively high-fidelity data while offering significantly reduced setup cost. The advantages over conventional surrogates are pronounced even further. The presented modeling procedure is demonstrated using two antenna examples and further validated through the application case studies.https://ieeexplore.ieee.org/document/9091118/Antenna designsurrogate modelingkriging interpolationco-krigingelectromagnetic (EM) simulation
spellingShingle Anna Pietrenko-Dabrowska
Slawomir Koziel
Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
IEEE Access
Antenna design
surrogate modeling
kriging interpolation
co-kriging
electromagnetic (EM) simulation
title Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
title_full Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
title_fullStr Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
title_full_unstemmed Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
title_short Antenna Modeling Using Variable-Fidelity EM Simulations and Constrained Co-Kriging
title_sort antenna modeling using variable fidelity em simulations and constrained co kriging
topic Antenna design
surrogate modeling
kriging interpolation
co-kriging
electromagnetic (EM) simulation
url https://ieeexplore.ieee.org/document/9091118/
work_keys_str_mv AT annapietrenkodabrowska antennamodelingusingvariablefidelityemsimulationsandconstrainedcokriging
AT slawomirkoziel antennamodelingusingvariablefidelityemsimulationsandconstrainedcokriging