产生高β托卡马克中高能电子的电子迴旋共振加热方法

Rosenbluth等人曾建议在托卡马克外侧产生少量高能香蕉粒子就可以稳定气球模,使托卡马克过渡到第二稳定区运行。本文就设计了一种用电子迴旋共振加热(简称ECRH)在反应堆托卡马克中产生这样的高能电子的方法:在托卡马克外侧,主要沿小环θ方向射入一束具有有限N_∥和某一合适频率ω的射频波,使波束主要在一个磁面附近的窄层内传播,利用高次谐频接力式加热把处于分布函数尾部的少量电子变成这样的高能电子。用各向异性弱相对论介电系数理论作数值计算发现,当N_∥和ω取适当值时,寻常模和异常模都有明显的加热作用。 关键词：     

CT-6B托卡马克的电子迴旋波加热实验

分别使用频率为34.34GHz和20.1GHz的迴旋管系统从外侧和顶端注入微波,对CT-6B托卡马克等离子体加热,均观察到明显的加热效果。分析表明两者有不同的加热机制。前者主要属于O模的共振加热;后者为X模的非共振-高密度加热,其机制可能来源于高密度截止层附近的非线性现象。在两种实验中,都观测到称为二次加热的非线性加热现象。它们可能分别来自不同的物理机制。     

电子束注入简单磁镜中被电子迴旋共振加热捕获的实验研究

在简单磁镜MM-2中,在采用15GHz大功率迴旋管进行电子迴旋共振加热(ECRH)的同时,以不同的方式向磁镜中注入电子束,进行了ECRH捕获电子束的实验研究。结果表明:由于电子束的提前注入,等离子体的预电离时间被大大地缩短。由上ECRH对电子束的捕获,使得热电子环参数得到很大的改善,热电子环的反磁β值约增加62%,对应反磁增加的捕获效率约为(30—40)%。在迴旋管输出约30kW的条件下,适应建立热电环的气体压力窗为(4.67—21.3)×10^-4Pa。 关键词：     

电声子系统磁电现象的量子理论

本文利用量子场论方法,统一地研究了电声子系统的交流磁阻、霍耳效应与迴旋共振现象。获得了与磁场强度H和外电场频率ω有关的弛豫时间、有效质量及迴旋共振线型的严格表达式。在我们的结果中,特别考虑了电子间库仑作用的集体效应、磁场引起的电子轨道运动量子化效应及交变电场的影响。     

电子迴旋激射不稳定性

本文分析了下述情况下的电子迴旋波的激射不稳定性:当相对性的单能高能电子斜向注入具有背景等离子体的磁场区域内,并且在电子等离子体频率与电子迴旋频率可以比拟时,考虑了背景等离子体密度远大于单能的高能电子的密度,以及与前者相反的两种情况。当单能的高能电子具有弱相对论性效应时,在电子迴旋频率的基频和二次谐波附近,分别有ο模和χ模的不稳定性存在。文中计算了这两种模的增长率,并作了讨论。 关键词：     

能带理论的进展

引言一、能带的形成 1.周期性势场中电子的波函数 2.电子的加速度与速度二、能带计算的主要方法 1.紧束缚法 2.原胞法 3.正交化平面波法三、和能带结构有关的物理性质 1.回旋共振 a.半导体的迴旋共振 b.金属的迴旋共振 2.电流磁效应 a.n型锗和硅 b.p型锗和硅 3.磁化率 a.晶体中电子的磁化率 b.半导体的磁化率 c.底哈斯,凡阿尔芬效应 4.反常的趋肤效应参考文献     

CT-6B托卡马克微波预电离实验

用迴旋管产生的大功率微波在电子迴旋频率的基频及二次谐波频率进行了托卡马克放电的预电离实验。实验证明,这种预电离方法比一般的预电离方法的击穿气压低,击穿电压及放电初期所耗费的变压器磁通也低得多。基频共振较二次谐波共振的效果好。 关键词：     

托卡马克中等离子体频率附近的增强辐射现象

实验提出托卡马克中的等离子体频率附近的增强辐射现象与高能逃逸电子有关,但是辐射的机制尚未完全弄清。本文讨论了两种可能的机制。一种是诱发辐射,这是来自逃逸电子与波的反常迴旋共振。另一种是自发辐射,主要来自契仑柯夫共振。前者要求逃逸电子的能量比后者为大,因此,自发辐射理论更引人注意。在很宽的参数变化范围内对辐射率作了数值计算。对于等离子体频率大于迴旋频率的情况也作了讨论。 关键词：     

高β等离子体中低混杂漂移不稳定性

本文对高β等离子体中槽纹模低杂漂移不稳定性从迴旋动力论出发作了较系统的研究,考虑了密度梯度、电子的温度梯度以及磁场梯度漂移的共振效应,解析结果与数值计算取得了完全一致的结论。发现,当温度梯度方向与密度梯度方向相反时,与温度梯度有关的电子的磁漂移共振起不稳定作用,使模的增长率比温度均匀时明显增大;而当方向相同时,温度梯度效应加强电子磁漂移共振的稳定作用,减少模的增长率。在两种情形中随着β值的增大,模的增长率都会减小,而且最大增长率向长波方向移动。电子温度各向异性对模的性质没有影响。 关键词：     

电子迥旋加热等离子体及热电子环特性的实验研究

在简单磁镜MM-2中,采用15GHZ大功率迴旋管进行了电子迴旋共振加热(ECRH)实验。结果表明,随充气压强的提高,预电离时间迅速变短。在高气压“C-模式”运行区,等离子体径向密度分布呈马鞍形。在迴旋管输出30kW功率的条件下,适于建立热电子环的气体压力窗为(0.4—1.2)×10^-5Torr。利用一个可移动Laugmuir探针配合反磁测量的简便方法,在中心场为2.95kG时,确定了电子环半径为7cm,环厚约4cm,环的轴向边界由z=±10cm一直延伸到z=±20cm。热电子温度为140—170keV,热电环平均β值为(4—5)％。观测到了由热电子环不稳定性引起的迸发式径向电子逃逸,并同时发生反磁信号跌落。     

First Observation of Neoclassical Tearing Modes in the HL-2A Tokamak

The m/n = 2/1 neoclassical tearing modes are first observed in HL-2A low density, low beta plasma with central electron cyclotron resonance heating. The neoclassical tearing modes （NTMs） are triggered by a sawtooth crash with m/n = 1/1 precursors, which are toroidal coupled with a small scale m/n = 2/1 mode. The time history of the island width is compared with the prediction of the NTM theory, showing a good agreement between theory and experiment.     

撕裂模实时主动控制系统

在HL-2A装置上发展了一套撕裂模实时主动控制系统。该系统在放电期间用电子回旋发射/软X射线诊断实时确定撕裂模的几何位置,结合实时剖面重建和电子回旋波沉积计算,得到电子回旋波反射镜的控制角度值。通过电机实时驱动电子回旋波反射镜到达指定角度,使得电子回旋波功率沉积在撕裂模的有理磁面附近,改变当地局部的电流剖面,从而控制撕裂模,改善等离子体约束。该系统已经在2015年以后的实验中投入使用,并取得了良好的控制效果。它不仅能够实时发现并控制经典撕裂模,并且具有控制新经典撕裂模的潜力。     

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Tearing mode real-time active control system has been developed on HL-2A tokamak. During the plasma discharge, electron cyclotron emission and soft X-ray diagnostic signals are used to get the geometric location where tearing modes emerge, combined with the real time profile reconstruction and electron cyclotron wave (ECW) deposition algorithm, the target angle of ECW steering mirror can be obtained. Then the mirror angle is set by the motor so that the ECW power deposit at the position of tearing modes finally. Consequently the tearing modes can be controlled, owing to the change of local current profile, and the plasma confinement is improved. This system has been deployed in HL-2A campaigns after 2015, and the good control effect is obtained. It has been proved that the system can discover and control not only the classical tearing modes in real time, but also has the potential to control the neoclassical tearing mode in the future.     

Neoclassical tearing mode stabilization by electron cyclotron current drive for HL-2M tokamak

Investigation of neoclassical tearing mode and its suppression by electron cyclotron current drive(ECCD) has been carried out in HL-2 M tokamak. The current driving capability of the electron cyclotron wave is evaluated. It is found that the deposition location can be effectively controlled by changing the poloidal angle. The validation of electron cyclotron wave heating and current driving has been demonstrated for the upper launcher port. We show that 3.0 MW and2.5 MW modulated ECCD can completely stabilize(2,1) and(3,2) NTMs, respectively. The non-modulated ECCD, radial misalignment as well as current profile broadening have deleterious effect on the NTM stabilization. The time required for suppression of(3,2) mode is shorter than that required for the suppression of(2,1) mode. Moreover, the time needed for complete stabilization at different initial island width has been quantitatively presented and analyzed.     

Effect of heating on the suppression of tearing modes in tokamaks

The suppression of (neoclassical) tearing modes is of great importance for the success of future fusion reactors like ITER. Electron cyclotron waves can suppress islands, both by driving noninductive current in the island region and by heating the island, causing a perturbation to the Ohmic plasma current. This Letter reports on experiments on the TEXTOR tokamak, investigating the effect of heating, which is usually neglected. The unique set of tools available on TEXTOR, notably the dynamic ergodic divertor to create islands with a fully known driving term, and the electron cyclotron emission imaging diagnostic to provide detailed 2D electron temperature information, enables a detailed study of the suppression process and a comparison with theory.     

Study of runaway electron behaviour during electron cyclotron resonance heating in the HL-2A Tokamak

During the current flat-top phase of electron cyclotron resonance heating discharges in the HL-2A Tokamak, the behaviour of runaway electrons has been studied by means of hard x-ray detectors and neutron diagnostics. During electron cyclotron resonance heating, it can be found that both hard x-ray radiation intensity and neutron emission flux fall rapidly to a very low level, which suggests that runaway electrons have been suppressed by electron cyclotron resonance heating. From the set of discharges studied in the present experiments, it has also been observed that the efficiency of runaway suppression by electron cyclotron resonance heating was apparently affected by two factors: electron cyclotron resonance heating power and duration. These results have been analysed by using a test particle model. The decrease of the toroidal electric field due to electron cyclotron resonance heating results in a rapid fall in the runaway electron energy that may lead to a suppression of runaway electrons. During electron cyclotron resonance heating with different powers and durations, the runaway electrons will experience different slowing down processes. These different decay processes are the major cause for influencing the efficiency of runaway suppression. This result is related to the safe operation of the Tokamak and may bring an effective control of runaway electrons.     

Observation of Fishbone-Like Instabilities Excited by Energetic Electrons on the HL-2A Tokamak

Strong burst of an internal kink mode is observed on the HL-2A tokamak. Features of the fishbone-like mode are presented. The fishbone-like instabihties can be driven during electron cyclotron resonance heating （ECRH） and can be excited on the high field side （HFS） by ECRH. It is found for the first time that the modes also present themselves on the low field side （LFS） during ECRH. Experiments show that the energetic electrons with energy of 35-70 keV play a dominant role in the excitation mechanism, and the experimental results are also consistent with our calculation ones.     

Parametric Instability of Surface Waves on the Second Harmonic of Electron Cyclotron Frequency in a Plasma Layer

The parametric instability of surface waves on the second harmonic of electron cyclotron frequency (SWCF) in a plasma filled dielectric wave guide is examined in a kinetic approximation. The studied surface waves are extraordinary polarized modes and propagate across the external steady magnetic field. The amplitude of the electrical pump wave is assumed to be small. Simple expressions for increments of the parametric instability of the SWCF are calculated. The otained results can be used in controlled fusion researches in order to avoid undesirable regimes of plasma periphery heating in that fusion devices which use the resonance electron cyclotron heating method.     

简单磁镜中热电子等离子体的基本特性

本文叙述了简单磁镜中,热电子等离子体的实验结果。微波在基频共振层击穿气体产生等离子体,二次偕振加热产生热电子环。等离子体激发了低频交换模和漂移波,热电子环对等离子体的扰动有稳定作用。     

Experiment and simulation of tearing mode evolution with electron cyclotron current drive in KSTAR

The tearing mode (TM) plasma instability was observed in low confinement (L-mode) plasmas when non-axisymmetric magnetic perturbation (MP) was applied using external coils during 2011 campaign of KSTAR. Based on the collected information of the magnetic island location in a plasma, a discharge was designed for suppression of a (2,1) TM mode by adjusting electron cyclotron (EC) launcher angles to the estimated island position. Here, the (m,n) notation describes the poloidal mode number and the toroidal mode number of the TM, respectively. The discharge is analysed with experimental observations and numerical simulations. Mirnov coil (MC) arrays and electron cyclotron emission (ECE) are used for analysis of the island width and the location as well as the mode number. The EC deposition and its alignment with the island are estimated by X-ray imaging crystal spectroscopy (XICS) and ECE measurements. An integrated numerical system is employed for modelling of this discharge to analyse a temporal evolution of the mode activity by integrating plasma equilibrium, transport, heating and current drive, and the magnetic island evolution, in a self-consistent way. The effect of EC current drive is discussed by comparing with another TM discharge but without ECCD. Some possibilities for classifying this mode to neoclassical tearing mode (NTM) and stabilisation effect of ECCD are suggested based on the experimental observation and the simulation results.