SFELP-an efficient methodology for microwave circuit analysis

Rubio, José Antonio Pérez; Arroyo, Jesús; Zapata, J.

doi:10.1109/22.910555

Cited by 57 publications

(47 citation statements)

References 8 publications

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“…As previously stated (see Subsection 3.2), an analytical frequency variation arises in matrix B whenever homogeneous waveguides are taking into account [42]. Thus…”

Section: Reduced Basis Approximationmentioning

confidence: 76%

“…Concerning the right hand side, in all what follows, we make a simplifying assumption: taking into account homogeneous waveguide modal fields as excitation, we can actually know the frequency variation of the tangential electric field [42] and obtain an affine frequency dependency in the functional, viz.…”

Section: Offline-online Decompositionmentioning

confidence: 99%

“…The actual GAM Y(k) is straightforwardly obtained from the pseudo-GAM X(k) by means of analytical operations (5.31) [42].…”

Section: Reduced Basis Approximationmentioning

confidence: 99%

“…An error estimate between the original system and its reduced order model for PVL-based techniques is proposed in [3] for single-input single-output systems, and extended for matrix-valued transfer functions in [4]. [42] uses PVL to carry out a fast frequency sweep in a domain decomposition framework. Further use of moment-matching approaches is taken into account in commercial software [48].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Rubia

Razafison

Maday

2009

IEEE Trans. Microwave Theory Techn.

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In this paper, a reduced basis approximation-based model order reduction for fast and reliable frequency sweep in the time-harmonic Maxwell's equations is detailed. Contrary to what one may expect by observing the frequency response of different microwave circuits, the electromagnetic field within these devices does not drastically vary as frequency changes in a band of interest. Thus, instead of using computationally inefficient, large dimension, numerical approximations such as finite element or boundary element methods for each frequency in the band, the point in here is to approximate the dynamics of the electromagnetic field itself as frequency changes. A much lower dimension, reduced basis approximation sorts this problem out. Not only rapid frequency evaluation of the reduced order model is carried out within this approach, but also special emphasis is placed on a fast determination of the error measure for each frequency in the band of interest. This certifies the accurate response of the reduced order model. The same scheme allows us, in an offline stage, to adaptively select the basis functions in the reduced basis approximation and automatically select the model order reduction process whenever a preestablished accuracy is required throughout the band of interest. Finally, real-life applications will illustrate the capabilities of this approach.

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“…As previously stated (see Subsection 3.2), an analytical frequency variation arises in matrix B whenever homogeneous waveguides are taking into account [42]. Thus…”

Section: Reduced Basis Approximationmentioning

confidence: 76%

Section: Offline-online Decompositionmentioning

confidence: 99%

“…The actual GAM Y(k) is straightforwardly obtained from the pseudo-GAM X(k) by means of analytical operations (5.31) [42].…”

Section: Reduced Basis Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Rubia

Razafison

Maday

2009

IEEE Trans. Microwave Theory Techn.

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show abstract

“…In order to use these models effectively in design optimization and iteration, the high order systems need to be reduced in size while still retaining relevant characteristics. Many model reduction/simplication schemes have been proposed in the past, such as Guyan and the related improved reduced system (IRS) methods [1,2], hierarchical modeling [3,4], macro-modeling [5,6], domaining decomposition [7], and others. This paper approaches model reduction from a systems perspective.…”

Section: Introductionmentioning

confidence: 99%

Order Reduction for Large-Scale Finite Element Models: A Systems Perspective

Gressick

Wen

Fish

2005

Int J Mult Comp Eng

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A domain decomposition technique for finite element based parametric sweep and tolerance analyses of microwave passive devices

Guarnieri¹,

Pelosi

Rossi

et al. 2008

Int J RF and Microwave Comp Aid Eng

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A domain decomposition approach is here applied to the finite element solution of a multiport waveguide passive device. The approach allows separating the problem in multiple, coupled subproblems which can be solved individually. By appropriately defining one of these subdomains as containing all the possible variations to be studied it is hence possible to restrict the tolerance analysis to this latter, smaller domain. Numerical results showing the gain in computing time are presented.

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SFELP-an efficient methodology for microwave circuit analysis

Cited by 57 publications

References 8 publications

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Order Reduction for Large-Scale Finite Element Models: A Systems Perspective

A domain decomposition technique for finite element based parametric sweep and tolerance analyses of microwave passive devices

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