Publication

Alternatives to time delay coordinates for phase space reconstruction of plasma fluctuations toward predictability and control in TCV

2024

Abstract

The complexity and controllability of turbulence in a magnetically confined plasma are quantified by the dimension of a phase space reconstruction and Lyapunov exponent respectively. Multiple phase space reconstruction methods are implemented and compared to validate the results and a more general approach in the frequency domain is proposed. For this purpose, more accurate Fourier transform and power spectral density estimation are implemented with alternative windowing choices. The improved spectral density provides insight on turbulence and a more precise experimental point of comparison with the theoretical plasma turbulence models.

Official source

https://infoscience.epfl.ch/entities/publication/dfd53bb0-f718-4c05-9978-bd89eeefe065

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2024

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/dfd53bb0-f718-4c05-9978-bd89eeefe065

About this result

Related concepts (32)

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Magnetic confinement fusion is an approach to generate thermonuclear fusion power that uses magnetic fields to confine fusion fuel in the form of a plasma. Magnetic confinement is one of two major branches of fusion energy research, along with inertial confinement fusion. The magnetic approach began in the 1940s and absorbed the majority of subsequent development. Fusion reactions combine light atomic nuclei such as hydrogen to form heavier ones such as helium, producing energy.

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In mathematics, physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time. Put simply, a time-domain graph shows how a signal changes over time, whereas a frequency-domain graph shows how the signal is distributed within different frequency bands over a range of frequencies. A frequency-domain representation consists of both the magnitude and the phase of a set of sinusoids (or other basis waveforms) at the frequency components of the signal.

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The power spectrum of a time series describes the distribution of power into frequency components composing that signal. According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, or a spectrum of frequencies over a continuous range. The statistical average of a certain signal or sort of signal (including noise) as analyzed in terms of its frequency content, is called its spectrum.

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Alternatives to time delay coordinates for phase space reconstruction of plasma fluctuations toward predictability and control in TCV

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