A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices

Matthijs van Berkel; Gerardus W. Oosterwegel; Martijn Anthonissen; Hans J. Zwart; Gerd Vandersteen

doi:10.1109/CDC40024.2019.9029992

A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices

Matthijs van Berkel, Gerardus W. Oosterwegel, Martijn Anthonissen, Hans J. Zwart, Gerd Vandersteen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

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Abstract

This paper introduces a novel maximum likelihood approach to determine the local thermal transport coefficients belonging to diffusion and convection from excitation (perturbative) transport experiments. It extends previous work developed for linear (slab) geometry to cylindrical (toroidal) geometry for fusion reactors. The previous linear geometry approach is based on analytic solutions of the partial differential equation. However, for cylindrical geometries with convection the analytic solutions are confluent hypergeometric functions (CHFs) with complex valued arguments. Most numerical libraries do not support CHFs evaluation with complex valued arguments. Hence, this paper proposes the use of an ultra-fast transfer function evaluation based on sparse numerical solutions for the discretized partial differential equation. This solution is implemented in MATLAB

Original language	English
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	3220-3226
Number of pages	7
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9029992
Publication status	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Abbreviated title	CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19
Internet address	https://cdc2019.ieeecss.org/

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10.1109/CDC40024.2019.9029992

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van Berkel, M., Oosterwegel, G. W., Anthonissen, M., Zwart, H. J., & Vandersteen, G. (2019). A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 3220-3226). Article 9029992 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC40024.2019.9029992

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title = "A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices",

abstract = "This paper introduces a novel maximum likelihood approach to determine the local thermal transport coefficients belonging to diffusion and convection from excitation (perturbative) transport experiments. It extends previous work developed for linear (slab) geometry to cylindrical (toroidal) geometry for fusion reactors. The previous linear geometry approach is based on analytic solutions of the partial differential equation. However, for cylindrical geometries with convection the analytic solutions are confluent hypergeometric functions (CHFs) with complex valued arguments. Most numerical libraries do not support CHFs evaluation with complex valued arguments. Hence, this paper proposes the use of an ultra-fast transfer function evaluation based on sparse numerical solutions for the discretized partial differential equation. This solution is implemented in MATLAB",

author = "{van Berkel}, Matthijs and Oosterwegel, {Gerardus W.} and Martijn Anthonissen and Zwart, {Hans J.} and Gerd Vandersteen",

year = "2019",

month = dec,

doi = "10.1109/CDC40024.2019.9029992",

language = "English",

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booktitle = "2019 IEEE 58th Conference on Decision and Control, CDC 2019",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "58th IEEE Conference on Decision and Control, CDC 2019, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

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van Berkel, M, Oosterwegel, GW, Anthonissen, M , Zwart, HJ & Vandersteen, G 2019, A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029992, Institute of Electrical and Electronics Engineers, Piscataway, pp. 3220-3226, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029992

A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices. / van Berkel, Matthijs; Oosterwegel, Gerardus W.; Anthonissen, Martijn et al.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Piscataway: Institute of Electrical and Electronics Engineers, 2019. p. 3220-3226 9029992.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - This paper introduces a novel maximum likelihood approach to determine the local thermal transport coefficients belonging to diffusion and convection from excitation (perturbative) transport experiments. It extends previous work developed for linear (slab) geometry to cylindrical (toroidal) geometry for fusion reactors. The previous linear geometry approach is based on analytic solutions of the partial differential equation. However, for cylindrical geometries with convection the analytic solutions are confluent hypergeometric functions (CHFs) with complex valued arguments. Most numerical libraries do not support CHFs evaluation with complex valued arguments. Hence, this paper proposes the use of an ultra-fast transfer function evaluation based on sparse numerical solutions for the discretized partial differential equation. This solution is implemented in MATLAB

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van Berkel M, Oosterwegel GW, Anthonissen M , Zwart HJ, Vandersteen G. A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 3220-3226. 9029992 doi: 10.1109/CDC40024.2019.9029992

A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices

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