Phase tracking with Hilbert transform and nonlinear wave-wave coupling analysis on the HL-2A tokamak

L.G. Zang; S. Ohshima; Y.F. Qu; P.W. Shi; W.L. Zhong; Y.M. Hou; L.W. Yan; X.Q. Ji; J.Q. Li; D.L. Yu; Z.B. Shi; Yi Liu; Q.W. Yang; M. Xu

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Phase tracking with Hilbert transform and nonlinear wave-wave coupling analysis on the HL-2A tokamak

机译：HL-2A Tokamak的Hilbert变换和非线性波浪耦合分析的相位跟踪

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A phase tracking method based on Hilbert transform algorithm is applied to the nonlinear wave-wave coupling analysis on HL-2A tokamak. Synthetic signal analysis is given to show the principle of phase analysis for the detection of nonlinear coupling. If the phase difference between two coherent modes is synchronized with the phase of a third mode, these three modes are nonlinearly coupled, vice versa. The time evolution of the phase of a coherent mode could be computed with Hilbert transform for experimental data, and a phase tracking flowchart is summarized. On HL-2A tokamak, the nonlinear coupling among two Alfven modes (AMs) and a tearing mode (TM) has been confirmed with bicoherence analysis (Shi et al 2017 Phys. Plasmas 24 042509). With Hilbert transform, it is clearly observed that the phase difference between two AMs Δθ_(12) is synchronized with the phase of the TM θ_(TM). The synchronization is confirmed with normalized cross-correlation. An alternative to check this synchronization is to observe the histogram of the phase difference Δθ_(12) - θ_(TM).

机译：基于Hilbert变换算法的相位跟踪方法应用于HL-2A Tokamak上的非线性波浪耦合分析。给出了合成信号分析，示出了用于检测非线性耦合的相位分析原理。如果两个相干模式之间的相位差与第三模式的相位同步，则这三种模式是非线性耦合的，反之亦然。可以使用Hilbert变换来计算相干模式的相位的相位的时间演变，并且总结了相位跟踪流程图。在HL-2A Tokamak上，两种Alfven模式（AMS）和撕裂模式（TM）之间的非线性耦合已经通过双际分析进行了确认（Shi等，2017题。等离子体24 042509）。通过Hilbert变换，清楚地观察到，两个AMSΔθ_（12）之间的相位差与TMθ_（tm）的相位同步。通过归一化交叉相关确认同步。检查此同步的替代方案是观察相位差Δθ_（12） - θ_（tm）的直方图。

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来源
《Nuclear fusion》 |2021年第2期|026024.1-026024.8|共8页
作者
L.G. Zang; S. Ohshima; Y.F. Qu; P.W. Shi; W.L. Zhong; Y.M. Hou; L.W. Yan; X.Q. Ji; J.Q. Li; D.L. Yu; Z.B. Shi; Yi Liu; Q.W. Yang; M. Xu;
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作者单位

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Institute of Advanced Energy Kyoto University Uji 611-0011 Japan;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

Southwestern Institute of Physics Chengdu 610041 People's Republic of China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
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关键词
Hilbert transform; nonlinear coupling; phase; HL-2A; energetic particle;

机译：希尔伯特变革;非线性耦合;阶段;HL-2A;精力充沛的粒子;

Phase tracking with Hilbert transform and nonlinear wave-wave coupling analysis on the HL-2A tokamak

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