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Nested Space Mapping Technique for Design and Optimization of Complex Microwave Structures with Enhanced Functionality

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Solving Computationally Expensive Engineering Problems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 97))

Abstract

In this work, we discuss a robust simulation-driven methodology for rapid and reliable design of complex microwave/RF circuits with enhanced functionality. Our approach exploits nested space mapping (NSM) technology, which is dedicated to expedite simulation-driven design optimization of computationally demanding microwave structures with complex topologies. The enhanced functionality of the developed circuits is achieved by means of slow-wave resonant structures (SWRSs), used as replacement components for conventional transmission lines. The NSM is a hierarchical, bottom-up methodology, in which the inner space mapping layer is applied to improve generalization capabilities of the equivalent circuit constructed on the SWRS level, whereas the outer layer is used to enhance the surrogate model of the entire structure of interest. We demonstrate that the NSM significantly improves the performance of traditional surrogate-based optimization routines applied to the design problem of computationally expensive microwave/RF structures with modular topology. The proposed technique is used to design three exemplary microwave/RF circuits with enhanced functionality: two abbreviated microstrip matching transformers and a miniaturized rat-race coupler with harmonic suppression. We also provide a comprehensive comparison with other surrogate-assisted methods, as well as supply the reader with basic design guidelines for the state-of-the-art SWRS-based microwave/RF circuits.

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Authors and Affiliations

  1. Engineering Optimization & Modeling Center, School of Science and Engineering, Reykjavik University, Menntavegur 1, 101, Reykjavik, Iceland

    Slawomir Koziel

  2. Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology, Narutowicza 11/12, 80-233, Gdansk, Poland

    Adrian Bekasiewicz & Piotr Kurgan

Authors
  1. Slawomir Koziel
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  2. Adrian Bekasiewicz
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  3. Piotr Kurgan
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Correspondence to Slawomir Koziel or Adrian Bekasiewicz .

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Editors and Affiliations

  1. Engineering Optimization & Modeling Center, School of Science & Engineering, Reykjavik University, Reykjavik, Iceland

    Slawomir Koziel

  2. Engineering Optimization & Modeling Center, School of Science & Engineering, Reykjavik University, Reykjavik, Iceland

    Leifur Leifsson

  3. School of Science and Technology, Middlesex University, London, United Kingdom

    Xin-She Yang

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Koziel, S., Bekasiewicz, A., Kurgan, P. (2014). Nested Space Mapping Technique for Design and Optimization of Complex Microwave Structures with Enhanced Functionality. In: Koziel, S., Leifsson, L., Yang, XS. (eds) Solving Computationally Expensive Engineering Problems. Springer Proceedings in Mathematics & Statistics, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-08985-0_3

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