collective thomson scattering diagnostic on …nuclear fusion • nuclear fusion • how do we do...
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![Page 1: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/1.jpg)
Collective Thomson Scattering Diagnostic on Wendelstein 7-X
Ivana Abramovic27/01/2020
![Page 2: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/2.jpg)
Nuclear Fusion
• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Ions
+
-
Electrons
-
--
--
-
+
+
+
+
+
+
Plasma
![Page 3: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/3.jpg)
Bringing the Sun to Earth - How do we do it?• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Images: Eurofusion,T. Stange
![Page 4: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/4.jpg)
Collective Thomson Scattering (CTS) • Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective
Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
DetectorIncident wave
Scattered wave
![Page 5: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/5.jpg)
Collective Thomson Scattering (CTS) • Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective
Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
![Page 6: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/6.jpg)
The Forward Problem
Objective: Development of a computer code (a forward model), based on a theoretical model, to compute measurement outcomes for sets of input parameters
• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Forward model
PlasmaIncident wave Geometry
Measurement
![Page 7: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/7.jpg)
The Forward Problem• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
The shape of the curve changes as the input ion temperature is changed
Frequency [GHz]
Spec
tral
den
sity
func
tion
[a.u
.]
![Page 8: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/8.jpg)
The Inverse Problem• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Objective: Use the developed forward model to solve the inverse problem by meansof Bayesian inference and machine learning
Forward model
PlasmaIncident wave Geometry
Measurement
![Page 9: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/9.jpg)
Bayesian Inference
• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Image: espn.co.uk
Niki Lauda or James Hunt? Minerva – Bayesian scientific framework
• Integration of the forward model
• Bayesian inference
• Access to data from other diagnostics
![Page 10: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/10.jpg)
Artificial Neural Networks
• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
?
Image: towardsdatascience.com
Image: Shutterstock/Phonlamai Photo
![Page 11: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/11.jpg)
First Experimental Results• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
![Page 12: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/12.jpg)
First Experimental Results - Bean• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
Objective: Analyze experimental data using the forward-model-based Bayesian inferencein the Minerva framework
![Page 13: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/13.jpg)
First Experimental Results - Bean• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
![Page 14: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/14.jpg)
First Experimental Results - Triangular• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
![Page 15: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/15.jpg)
First Experimental Results - Triangular• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
![Page 16: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/16.jpg)
Last but not least …
• Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
?𝑇𝑇𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝
𝑇𝑇𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝Objective: Extend the forward model to calculate CTS in a two temperature plasma.
![Page 17: Collective Thomson Scattering Diagnostic on …Nuclear Fusion • Nuclear Fusion • How do we do it? • Wendelstein 7 - X • Collective Thomson Scattering ... PowerPoint-presentatie](https://reader034.vdocuments.site/reader034/viewer/2022050413/5f8a492b31c57f773e2b6692/html5/thumbnails/17.jpg)
Summary • Nuclear Fusion
• How do we do it?
• Wendelstein 7 - X
• Collective Thomson
Scattering
• The Forward
Problem
• The Inverse
Problem
• Bayesian Inference
and Neural
Networks
• First Results
• Additional Work
• Summary
• A collective Thomson scattering diagnostic was developed and installed on Wendelstein 7-X
• A forward model was developed allowing calculations of the measurement result given the experimental conditions
• The inverse problem of extracting the desired parameter value from measurements was tackled in two ways:
Bayesian inference
machine learning
• The forward model and the inference methods were used to analyze the first CTS measurements obtained on this device
• The forward model was extended to enable calculations in plasmas with two temperatures