A novel surrogate-based approach for optimal design of electromagnetic-based circuits

Hassan, Ali H.; Mohamed, A.S.A.; Rabie, A. A.; Etman, Ahmed S.

doi:10.1080/0305215x.2014.995178

Cited by 10 publications

(15 citation statements)

References 28 publications

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“…Hence, the large computational effort required, in addition to the uncertainty involved in the estimation process, represents an obstacle against the statistical design centering approaches and needs some innovative treatments for such problems. The second approach is classified as a geometric approach [9,13,14,19,[35][36][37][38][39][40][41]. It treats the problem implicitly by finding the center of a body approximating the feasible region, with the assumption that the feasible region is bounded and convex.…”

Section: Design Centering and Yield Function Optimizationmentioning

confidence: 99%

“…The centers of these ellipsoids are used as design centers. Recently, Hassan et al introduced a new geometrical SM surrogate‐based microwave design centering technique. The method uses norms related to the probability distribution of the circuit parameters to find distances from a point to the feasible region boundaries.…”

Section: Introductionmentioning

confidence: 99%

“…To overcome this, computationally cheap space mapping (SM) surrogate models can be employed instead of the computationally expensive high-fidelity fine model [3][4][5][6][7][8]. Several techniques for SM surrogate-based microwave circuit design centering have been proposed in the literature [2,[9][10][11][12][13]. The main idea of this approach of design centering is that SM surrogates are used to create a sequence of iteratively updated feasible region approximations.…”

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confidence: 99%

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Space mapping surrogate‐based microwave circuit design centering using a new statistical technique

Hassan

Abdel-Malek

Mohamed

et al. 2015

Int J Numerical Modelling

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Design centering is an optimal design process that seeks for the values of system parameters which maximize the probability of satisfying the design specifications (yield function). In this article, a derivative-free trust region (TR) optimization approach is combined with the generalized space mapping technique to develop a new space mapping (SM) surrogate-based statistical technique for design centering of computationally expensive microwave circuits. The TR optimization approach is well suited for expensive objective functions that have some uncertainty in their values or subject to statistical variations. The principal operation relies on building and successively updating quadratic surrogate models to be optimized instead of the objective function over TRs employing the truncated conjugate gradients. The approach constructs the initial quadratic surrogate model using fewer data points, then updates the surrogate model using a weighted least squares fitting that gives more emphasis to points close to the current center point. Integrating the TR optimization approach with the generalized space mapping technique results in a novel statistical design centering technique for the microwave circuits with a great reduction in computations and simulations needed for the yield optimization process. Design of practical microwave circuits is presented to indicate the effectiveness of the new design centering technique.

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Section: Design Centering and Yield Function Optimizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Space mapping surrogate‐based microwave circuit design centering using a new statistical technique

Hassan

Abdel-Malek

Mohamed

et al. 2015

Int J Numerical Modelling

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show abstract

“…Due to its importance, system design centering has been discussed and developed by many researchers in several publications. [1][2][3][4][5][6][7][8][9][10][11][12][13] Generally, design centering approaches can be categorized into two main classes, namely, geometrical and statistical approaches. For geometrical approaches, the yield function is implicitly optimized by fetching the feasible region center and use it to approximate the design center.…”

Section: Introductionmentioning

confidence: 99%

Microwave systems design centering exploiting space mapping technology and modified trust region algorithm

Hassan

Elqenawy

Abuelfadl

et al. 2020

Int J Numerical Modelling

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System design centering process looks for nominal values of system designable parameters that maximize the probability of satisfying the design specifications (yield function). Statistical design centering implements a statistical analysis method such as Latin hypercube sampling (LHS) for yield function estimation and explicitly optimizes it. In this paper, we introduce a new statistical design centering technique for microwave system design. The technique combines a modified surrogate-based derivative-free trust region (TR) optimization algorithm and the generalized space mapping (GSM) technique. The modified TR algorithm is a derivative-free optimization algorithm that employs quadratic surrogate models to replace the computationally expensive yield function over hyperelliptic trust regions in the optimization process. TR algorithms exhibit global convergence features irrespective the starting point setting. The new design centering approach utilizes the GSM technique to approximate the feasible region in the design parameter space with a sequence of iteratively updated space mapping (SM) surrogates. At each SM iteration, the modified TR algorithm optimizes the yield function for the current SM region approximation to get a better center. Two microwave circuit examples are used to show the effectiveness of the new design centering technique to obtain an optimal design in few SM iterations. In the design process, we employ Sonnet em for the bandstop microstrip filter design and CST Studio Suit for the ultra-wideband (UWB) multiple-inputmultiple-output (MIMO) antenna.

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“…The first is a geometric approach [3]- [4] and treats the problem implicitly by finding the center of a body approximating the feasible region, which is assumed to be bounded convex region. Then the center of this body is considered as the design center.…”

Section: Introductionmentioning

confidence: 99%

Statistical design centering of RF cavity linear accelerator via non-derivative trust region optimization

Hassan

Abdel-Malek

Mohamed

et al. 2015

2015 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO)

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A novel surrogate-based approach for optimal design of electromagnetic-based circuits

Cited by 10 publications

References 28 publications

Space mapping surrogate‐based microwave circuit design centering using a new statistical technique

Space mapping surrogate‐based microwave circuit design centering using a new statistical technique

Microwave systems design centering exploiting space mapping technology and modified trust region algorithm

Statistical design centering of RF cavity linear accelerator via non-derivative trust region optimization

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