Greedy Multipoint Model-Order Reduction Technique for Fast Computation of Scattering Parameters of Electromagnetic Systems

Rewieński, Michał; Lamęcki, Adam; Mrozowski, Michał

doi:10.1109/tmtt.2016.2560167

Cited by 28 publications

(19 citation statements)

References 37 publications

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“…In particular, it is observed that the linear independence measure //#" for solution vectors E-¡, E%, and Eg is higher for the nonpractical optimal algorithm in Table I than for Algorithm 2. In the same token, it should be noted that /¿B 8 (¿Í9) < MB 9 (EW) in Table II, which shows once again that the greedy algorithm based on the residual error (40) does not ensure to choose the most linearly independent field solutions to uplift the basis. However, it is a cheap and good enough criterion to guide us in the reduced-basis space identification.…”

Section: ^B^(es)mentioning

confidence: 96%

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

Rubia

Mrozowski

2018

IEEE Trans. Microwave Theory Techn.

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A reliable reduced-order model (ROM) for fast frequency sweep in time-harmonic Maxwell's equations by means of the reduced-basis method is detailed. Taking frequency as a parameter, the electromagnetic field in microwave circuits does not arbitrarily vary as frequency changes, but evolves on a very low-dimensional manifold. Approximating this low-dimensional manifold by a low dimension subspace, namely, reduced-basis space, gives rise to an ROM for fast frequency sweep in microwave circuits. This avoids carrying out time-consuming finite-element analysis for each frequency in the band of interest. The behavior of the solutions to Maxwell's equations as a function of the frequency parameter is studied and highlighted. As a result, a compact reduced-basis space for efficient model-order reduction is proposed. In this paper, the reduced-basis space is composed of two parts: 1) eigenmodes hit in the frequency band of interest, which form an orthogonal, fundamental set that describes the natural oscillating dynamics of the electromagnetic field and 2) whatever else electromagnetic fields, sampled in the frequency band of interest, that are needed to achieve convergence in the reduced-basis approximation. The reduced-basis method aims not only to find out a reduced-basis space in an efficient way, but also to certify the reliability of the approximation carried out. Emphasis is placed on a fast evaluation of the ROM error measure and on providing a reliable convergence criterion. This approach is applied to both narrowband resonating structures and wideband nonresonanting devices in order to show the capabilities of the method in real-life applications.

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Section: ^B^(es)mentioning

confidence: 96%

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

Rubia

Mrozowski

2018

IEEE Trans. Microwave Theory Techn.

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“…In this regard, we use MORe to carry out a fast frequency sweep. The goal in MORe is to identify the manifold, or reduced-basis space, in which the actual dynamics of system (1) take place in an efficient way [2], [3], [4], [5], [6], [7], [8]. As a result of this MORe process, we obtain a scattering transfer function which is really easy to evaluate due to its low dimension, thus, ft) = -(i) (S+s " +s2tr ' ( * *>(«)…”

Section: Problem Statementmentioning

confidence: 99%

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

Otero-Carrasco

Rubia

2019

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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A reduced-order model is applied to finite element analysis of microwave circuits. The matrix-valued transfer function of the system is obtained, which is described as a scattering matrix transfer function. Due to the application of model order reduction techniques, the scattering matrix transfer function of the microwave circuit is detailed as a low dimension system, which allows us to efficiently obtain the frequency behavior of the system. In addition, the fundamental characteristics of this transfer function are discussed and a procedure to efficiently obtained the zelo-pole characteristics of the microwave filter is addressed. Finally, real-life applications will illustrate the capabilities of this approach. Index Terms-Computer aided engineering, design automation, finite element methods, Galerkin method, microwave circuits, reduced basis methods, reduced-order systems.

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“…MOR has been conventionally applied to large-scale-systems [30][31][32][33]. Its application in the power electronics domain seems rather counter-intuitive since these systems are of considerably smaller size.…”

Section: Introductionmentioning

confidence: 99%

Adaptive multi‐resolution framework for fast simulation of power electronic circuits

Khan

Bazaz

Nahvi

2020

IET Circuits, Devices & Systems

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An adaptive multi-resolution simulation (AMRS) framework for fast and accurate simulation of high-fidelity models of power electronic circuits (PECs) is presented in this study. The wide span of eigenvalues makes PEC simulation prohibitively slow. This problem can be tackled using the proposed approach. Singular perturbation approximation is used to extract simplified models by ignoring the transient contribution of the non-dominant eigenvalues. Simplified models of different orders or resolutions, each corresponding to a particular level of accuracy are derived on the fly at no additional computational cost. The simulation engine is set such that it adaptively switches across resolutions based on a predefined tolerance during the simulation. This approach is advantageous in the sense that instead of simulating the original model over the entire time-range, a combination of the original and simplified models is simulated. The combined use of the original and the simplified models is thus shown to be a powerful tool for efficient and accurate simulation of PECs. The examples illustrated, show that the AMRS approach makes the simulation considerably faster and ensures the complete response of the system is obtained with negligible error. The method is illustrated on a Class-E amplifier and a DC-DC buck-boost converter.

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Greedy Multipoint Model-Order Reduction Technique for Fast Computation of Scattering Parameters of Electromagnetic Systems

Cited by 28 publications

References 37 publications

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

Adaptive multi‐resolution framework for fast simulation of power electronic circuits

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