Rapid Simulation-Driven Multiobjective Design Optimization of Decomposable Compact Microwave Passives

Slawomir Koziel, Adrian Bekasiewicz

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


In this paper, a methodology for fast multiobjective optimization of the miniaturized microwave passives has been presented. Our approach is applicable to circuits that can be decomposed into individual cells [e.g., compact microstrip resonant cells (CMRCs)]. The structures are individually modeled using their corresponding equivalent circuits and aligned with their accurate, EM simulated representations, by means of implicit space mapping (ISM). The ISM-corrected cells are then assembled into the entire structures and their Pareto-optimal solutions (here, representing the best possible tradeoffs between the structure size and electrical performance) are obtained using evolutionary methods. The refinement is then carried out for the selected structure realizations using, again, SM. The latter stage is necessary, because the cell-based equivalent circuit models do not account for EM cross-couplings between the cells. The proposed methodology allows for rapid identification of compromise geometries concerning size-performance tradeoffs and, more importantly, permits quality comparison of particular CMRC realizations from the point of view of their suitability for a given compact circuit implementation. Our approach is demonstrated using several variations of the three-section wideband impedance matching transformers consisting of two types of CMRC structures. Numerical validation of the results is provided.

Original languageEnglish
Article number7508882
Pages (from-to)2454-2461
Number of pages8
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number8
Publication statusPublished - Aug 2016

Bibliographical note

Funding Information:
This work was supported in part by the Icelandic Centre for Research (RANNIS) under Grant 163299-051, and in part by the National Science Centre of Poland under Grant 2013/11/B/ST7/04325 and Grant 2014/15/B/ST7/04683.

Publisher Copyright:
© 2016 IEEE.

Other keywords

  • Compact circuits
  • computer-aided design
  • decomposable circuits
  • impedance transformers
  • multiobjective optimization
  • surrogate-based optimization
  • variable-fidelity simulations


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