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A systematic approach to optimize excitations for perturbative transport experiments. / van Berkel, Matthijs; De Cock, Alexander; Hogeweij, GMD; Zwart, H. J.; Vandersteen, Gerd.

In: Physics of Plasmas, Vol. 25, No. 8, 082510, 01.08.2018.

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van Berkel, Matthijs ; De Cock, Alexander ; Hogeweij, GMD ; Zwart, H. J. ; Vandersteen, Gerd. / A systematic approach to optimize excitations for perturbative transport experiments. In: Physics of Plasmas. 2018 ; Vol. 25, No. 8.

BibTeX

@article{7ebd58426f09453b90b41988cad2d607,
title = "A systematic approach to optimize excitations for perturbative transport experiments",
abstract = "In this paper, techniques for optimal input design are used to optimize the waveforms of perturbative experiments in modern fusion devices. The main focus of this paper is to find the modulation frequency for which the accuracy of the estimated diffusion coefficient is maximal. Mathematically, this problem can be formulated as an optimization problem in which the Fisher information matrix is maximized. First, this optimization problem is solved for a simplified diffusion model, while assuming a slab geometry and a semi-infinite domain. Later, the optimization is repeated under more general conditions such as a cylindrical geometry, finite domain, and simultaneous estimation of multiple transport coefficients. Based on the results of these optimizations, guidelines are offered to select the modulation frequency and to determine the optimality of the corresponding experiment.",
author = "{van Berkel}, Matthijs and {De Cock}, Alexander and GMD Hogeweij and Zwart, {H. J.} and Gerd Vandersteen",
year = "2018",
month = "8",
day = "1",
doi = "10.1063/1.5010325",
language = "English",
volume = "25",
journal = "Physics of Plasmas",
issn = "1070-664X",
publisher = "AIP Publishing",
number = "8",

}

RIS

TY - JOUR

T1 - A systematic approach to optimize excitations for perturbative transport experiments

AU - van Berkel, Matthijs

AU - De Cock, Alexander

AU - Hogeweij, GMD

AU - Zwart, H. J.

AU - Vandersteen, Gerd

PY - 2018/8/1

Y1 - 2018/8/1

N2 - In this paper, techniques for optimal input design are used to optimize the waveforms of perturbative experiments in modern fusion devices. The main focus of this paper is to find the modulation frequency for which the accuracy of the estimated diffusion coefficient is maximal. Mathematically, this problem can be formulated as an optimization problem in which the Fisher information matrix is maximized. First, this optimization problem is solved for a simplified diffusion model, while assuming a slab geometry and a semi-infinite domain. Later, the optimization is repeated under more general conditions such as a cylindrical geometry, finite domain, and simultaneous estimation of multiple transport coefficients. Based on the results of these optimizations, guidelines are offered to select the modulation frequency and to determine the optimality of the corresponding experiment.

AB - In this paper, techniques for optimal input design are used to optimize the waveforms of perturbative experiments in modern fusion devices. The main focus of this paper is to find the modulation frequency for which the accuracy of the estimated diffusion coefficient is maximal. Mathematically, this problem can be formulated as an optimization problem in which the Fisher information matrix is maximized. First, this optimization problem is solved for a simplified diffusion model, while assuming a slab geometry and a semi-infinite domain. Later, the optimization is repeated under more general conditions such as a cylindrical geometry, finite domain, and simultaneous estimation of multiple transport coefficients. Based on the results of these optimizations, guidelines are offered to select the modulation frequency and to determine the optimality of the corresponding experiment.

UR - http://www.scopus.com/inward/record.url?scp=85051726538&partnerID=8YFLogxK

U2 - 10.1063/1.5010325

DO - 10.1063/1.5010325

M3 - Article

VL - 25

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 8

M1 - 082510

ER -

ID: 39266493