Abstract

Abstract: Modern experiments in Magnetic Confinement Nuclear Fusion can produce Gigabytes of data, mainly in form of time series. The acquired signals, composing massive databases, are typically affected by significant levels of noise. The interpretation of the time series can therefore become quite involved, particularly when tenuous causal relations have to be investigated. In the last years, synchronization experiments, to control potentially dangerous instabilities, have become a subject of intensive research. Their interpretation requires quite delicate causality analysis. In this paper, the approach of Information Geometry is applied to the problem of assessing the effectiveness of synchronization experiments on JET (Joint European Torus). In particular, the use of the Geodesic Distance on Gaussian Manifolds is shown to improve the results of advanced techniques such as Recurrent Plots and Complex Networks, when the noise level is not negligible. In cases affected by particularly high levels of noise, compromising the traditional treatments, the use of the Geodesic Distance on Gaussian Manifolds allows deriving quite encouraging results. In addition to consolidating conclusions previously quite uncertain, it has been demonstrated that the proposed approach permit to successfully analyze signals of discharges which were otherwise unusable, therefore salvaging the interpretation of those experiments.

Highlights

  • Modern experiments in Magnetic Confinement Nuclear Fusion can produce Gigabytes of data, mainly in form of time series

  • In cases affected by high levels of noise, compromising the traditional treatments, the use of the Geodesic Distance on Gaussian Manifolds allows deriving quite encouraging results

  • Inin order to obtain more results about the Euclidean time horizon of the causal relations implemented the calculations of therobust various methods, is the distance, which is very in these to difficult cases, been to handle the signal noise whose in a more advanced intuitive understand butitishas based on tried a stringent assumption: the points, distance is to be way

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Summary

Time Series and Causal Relations in Magnetic Confinement Nuclear Fusion

In Magnetic Confinement Nuclear Fusion (MCNF), the largest experiments can produce tens of Gigabytes of data per shot. Sawteeth are redistributions of energy and matter and energy at the edge of the plasma column and can reduce significantly the life of the plasma particles from the centre of the plasma column to the more peripheral regions, following magnetic facing components, if allowed to grow excessively. Sawteeth are redistributions of energy and particles reconnections; if they become too large, they can trigger more harmful instabilities, such as Neoclassical from the centre of the plasma column to the more peripheral regions, following magnetic reconnections; Tearing. Modes, in their turn, can more lead to sudden terminations the discharges.

Top: signals identifyingthe theoccurrence occurrence of of Edge
Recurrence Plots
Complex
Information Geometry
Examples to illustrate how theGeodesic
Application of the Geodesic Distance to Synchronization Experiments in JET
Evolution of Recurrence
Findings
Evolution entropy for discharge

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