长环等离子体平衡位形的稳定性研究

1981年V.M.Glagolev等人首次提出一种含有直线段的长环等离子体平衡位形(Drakon)的新概念,这种长环等离子体平衡位形包括两个长的较小磁场的直线段和两端由较强磁场的曲线平衡段连接。在每一个曲线平衡段,Pfirsch-Schlüter电流由于曲线平衡段轴曲率矢量的方向改变而补偿,因此Pfirsch-Schlüter电流是闭合的,不流进直线段,     

HL-2A极向场线圈系统的优化设计

通过对原ＡＳＤＥＸ极向场线圈系统进行改造,优化设计出ＨＬ－２Ａ极向场线圈系统,模拟计算了磁场位形演化并估算了伏秒消耗。改造后的极向场线圈系统能够形成８００ｋＡ的等离子体电流,并能产生拉长截面的等离子体偏滤器的位形。分析了改造后的极向场线圈系统的电磁特征,计算了单零,双零及Ｄ形限制器三种等离子体平衡位形。     

HL-2A装置改造方案磁流体平衡的数值模拟

对HL-2A装置的改造方案进行数值模拟,获得了放电初始阶段零场区域设计的最佳方案、等离子体限制器平衡位形、单零偏滤器平衡位形和双零偏滤器平衡位形以及从气体击穿到等离子体电流平顶的等离子体平衡位形的演化过程。计算结果表明,该装置设计方案能够满足装置预期的设计参数要求。     

SWIP—RFP装置反场箍缩等离子体约束改善实验

在ＳＷＩＰ－ＲＦＰ装置上改善真空和预电离条件后，提高了等离子体温度，增加了等离子体的维持时间和反场箍缩磁场位形约束的维持时间，增长了等离子体的能量约束时间，从而表明了ＲＦＰ等离子体的能量约束和ＲＦＰ磁场位形的约束均得到了改善。     

EAST装置等离子体放电位形快速识别研究

为了适应超导托卡马克装置EAST位形控制运行模式的需要，研究了等离子体放电位形快速识别算法，给出了等离子体放电位形重建的模拟计算结果，并与美国GA平衡反演程序EFIT计算的平衡结果进行了详细的误差对比分析.结果表明，通过外部磁测量和合适的电流剖面模型，并结合实时平衡重建算法可以快速地对EAST等离子体放电位形进行识别. 关键词： 托卡马克 等离子体 平衡重建 数值模拟     

HL-2M等离子体对共振磁扰动线圈电流相位响应的模拟

在HL-2M托卡马克平衡位形(Ip=1.0MA,βN=1.62,q95=4.01)下,使用环形单流体程序MARS-F研究了等离子体对共振磁扰动(RMP)线圈电流相位差的响应.在最优相位差时,扰动磁场显著地改变边界层磁场的拓扑,形成明显的磁岛链,增加了等离子体在边界层的输运,降低了压强梯度,减小了对ELM的驱动.模拟结果...     

静电堵漏串级镜MM－4U的约束位形的理论研究

本文分析了双会切静电堵漏串级磁镜ＭＭ－４Ｕ中粒子损失的可能机制，考虑了等离子体粒子能量的切断，从平衡的Ｖｌａｓｏｖ方程的解出发，数值求解了一组静态的达朗倍尔方程，即Ｐｏｉｓｓｏｎ方程和Ｍａｘｗｅｌｌ方程，得到了等离子体电位、密度及非中性度（净余电子数密度）分布。结果表明，堵漏电压及堵漏电极极板的几何位形、磁场位形及磁场大小、电子温度及电子－离子温度比在串级磁镜的约束位形的形成中起着重要的作用。     

环形等离子体平衡时维持场电流的计算

本文介绍一个计算轴对称任意截面环形等离子体平衡问题的方法。先选定等离子体边界和环电流分布,用有限元方法解平衡方程的边值问题。借助于虚壳原理,得到用平衡方程解表示的能够产生平衡时所需要的维持场的虚壳电流。计算虚壳电流在等离子体区的维持场,以它为根据,采用积分方程开拓,求等离子体区外某位形上的维持场电流分布。解决这个问题的主要困难是当磁场向外开拓时遇到了不适定问题。我们用奇异值分解方法解不适定的Fredholm第一类积分方程。这个方法能容易地找到稳定解,对解决这个平衡问题是简单有效的。我们以七种等离子体截面形状,三种电流分布为具体模型,在三种维持场电流分布位形上给出了维持场电流分布。还给出了维持场形态,维持场总电流与等离子体总电流的比较,并简单讨论了维持场对等离子体整体稳定性的影响。 关键词：     

球环位形磁流体平衡的数值模拟

对原有的托卡马克平衡编码SWEQU进行了改进。使之适用于小环径比球形环装置的磁流体研究。用改进后的平衡编码SWEQU模拟了放电初始阶段等离子体平衡位形的演化及稳态阶段的双零偏滤器平衡位形。结果表明。不但町以得到球形环装置稳态阶段的平衡位形，也可以模拟等离子体电流上升阶段平衡位形的演化过程。     

三角变形椭圆截面环电流器的平衡理论和绝热压缩理论

本文研究了带有滴形截面的托卡马克磁流体平衡问题,给出了靠外线圈维持这种平衡所需的电流分布和整个自洽平衡解。重点研究了对这样的位形进行绝热压缩加热等离子体问题,给出了在压缩过程中整个平衡位形随时间的演化。结果表明具有滴形截面的等离子体平衡位形在绝热压缩过程中是能够由初态连续过渡到终态的。 关键词：     

Control of asymmetric magnetic perturbations in tokamaks

The sensitivity of tokamak plasmas to very small deviations from the axisymmetry of the magnetic field |deltaB/B| approximately 10{-4} is well known. What was not understood until very recently is the importance of the perturbation to the plasma equilibrium in assessing the effects of externally produced asymmetries in the magnetic field, even far from a stability limit. DIII-D and NSTX experiments find that when the deleterious effects of asymmetries are mitigated, the external asymmetric field was often made stronger and had an increased interaction with the magnetic field of the unperturbed equilibrium. This Letter explains these counterintuitive results. The explanation using ideal perturbed equilibria has important implications for the control of field errors in all toroidal plasmas.     

Plasma Response to Resonant Perturbations at Tokamak Edge

In certain circumstances, plasma response suppresses magnetic islands expected at perturbed resonant magnetic surfaces. We investigate the plasma response to the resonant magnetic perturbations in a large aspect ratio tokamak perturbed by external resonant helical windings, considering polar toroidal coordinates for which analytical toroidal equilibrium solutions and perturbing fields are available. We apply an empirical approach to mimic the plasma screening effects by introducing presumed plasma current sheets on the resonance surfaces to cancel the RMP effects. Numerical examples show the effect of plasma response reducing magnetic islands at the plasma edge and also regularizing field lines around the resonant surface. The distribution of connection lengths along the plasma cross section indicates that the plasma response increases the connection lengths since more toroidal turns are performed until a field line reaches the tokamak wall.     

Motions of particles in an oscillating plasma

An alternative consideration of oscillations and waves in plasma is suggested based on equations for small deflections of particles from their equilibrium trajectories instead of equations for perturbations of distribution functions and fields, so that average values are calculated with equilibrium distribution functions. Instead of the Maxwell equations for an electromagnetic field their solutions in the Lienard-Wiechert form are used. All the known results of the linear kinetic theory of plasma oscillations are shown to be derivable in this way, and small correlations for dispersion relations of the first order in the plasma parameter due to the Debye screening have been obtained. A simplified consideration of a rarefield plasma in a strong magnetic field is given showing a non-cyclotron character of the motion of the particles. Such a combination of statistical and dynamical approaches may be useful in many problems of plasma physics.     

Initial Measurements of Plasma Potential in the Core of the MST Reversed Field Pinch with a Heavy Ion Beam Probe

Measurement of the plasma potential in the core of MST marks both the first interior potential measurements in an RFP, as well as the first measurements by a Heavy Ion Beam Probe (HIBP) in an RFP. The HIBP has operated with (20-110) keV sodium beams in plasmas with toroidal currents of (200-480) kA over a wide range of densities and magnetic equilibrium conditions. A positive plasma potential is measured in the core, consistent with the expectation of rapid electron transport by magnetic fluctuations and the formation of an outwardly directed ambipolar radial electric field. Comparison between the radial electric field and plasma flow is underway to determine the extent to which equilibrium flow is governed by E×B. Measurements of potential and density fluctuations are also in progress.Unlike HIBP applications in tokamak plasmas, the beam trajectories in MST (RFP) are both three-dimensional and temporally dynamic with magnetic equilibrium changes associated with sawteeth. This complication offers new opportunity for magnetic measurements via the Heavy Ion Beam Probe (HIBP). The ion orbit trajectories are included in a Grad-Shafranov toroidal equilibrium reconstruction, helping to measure the internal magnetic field and current profiles. Such reconstructions are essential to identifying the beam sample volume locations, and they are vital in MST's mission to suppress MHD tearing modes using current profile control techniques. Measurement of the electric field may be accomplished by combining single point measurements from multiple discharges, or by varying the injection angle of the beam during single discharges.The application of an HIBP on MST has posed challenges resulting in additional diagnostic advances. The requirement to keep ports small to avoid introducing magnetic field perturbations has led to the design and successful implementation of cross-over sweep systems. High levels of ultraviolet radiation are driving alternative methods of sweep plate operation. While, substantial levels of plasma flux into the HIBP diagnostic chambers has led to the use of magnetic plasma suppression.     

高能等离子体入射对磁场膨胀影响的模拟研究（已撤稿）

采用三维模型，使用混合网格质点法对等离子体入射偶极子磁场产生的磁场膨胀进行数值模拟.在模拟中考虑了高能等离子体注入两种不同类型磁场的情况：等离子体注入没有背景磁场的偶极子磁场和等离子体注入有背景磁场的偶极子磁场.研究表明背景磁场的存在不仅改变了粒子的分布，还改变了磁场膨胀的程度.还研究了注入的高能等离子体的速度对磁场膨胀的影响，结果表明入射的高能等离子体速度越大，磁场膨胀的程度就越大.对于低的入射速度，入射粒子在偶极子磁场中的回旋半径与偶极子磁场的特征长度相比较小，粒子被磁场束缚，对偶极子磁场的影响可以忽 关键词： 网格质点法 磁场膨胀 偶极子磁场     

Oscillations of Magnetized Dust Grains in Plasma Sheath with Negative Ions

The oscillations of a single magnetized dust grain in electronegative plasma sheath are investigated taking into account the existence of an external magnetic field. The influence of the content of negative ions and the magnetic field intensity on the properties of the dust vibration is analysed. The result shows that the existence of the negative ions in plasma reduces the dust oscillation frequency and drops the equilibrium position of dust, whereas the magnetic field raises the equilibrium position and also reduces the dust oscillation frequency on the condition considered.     

Multipolar Structure of Equilibrium Shear Flow Field in Toroidal Plasmas

The multipolar velocity field structures are investigated by 2D momentum conservation equation with 3D equilibrium sheared flows in the full toroidal system. Numerical results show that the non-existence of radial velocity field in equilibrium surfaces is suitable only for the zero-order term of our 2D simulation. The non-zero-order radial velocity field is still preserved, even when converted to conventional magnetic surface coordinates. The distribution of velocity field vectors of the order of 1, 2, and 3 are presented respectively in 2, 4, and 6 polar fields with the local vortex structure. The excitation mechanisms of these velocity vortices are the coupling effects of the magneto-fluid structure patterns and the toroidal effects. These results can help us understand the complexity of core physics, the transverse transport across magnetic field by the radial plasma flow and the formation of velocity vortices.     

Instabilities responsible for magnetic turbulence in laboratory rotating plasma

Instabilities responsible for magnetic turbulence in laboratory rotating plasma are investigated. It is shown that the plasma compressibility gives a new driving mechanism in addition to the known Velikhov effect due to the negative rotation frequency gradient. This new mechanism is related to the perpendicular plasma pressure gradient, while the density gradient gives an additional drive depending also on the pressure gradient. It is shown that these new effects can manifest themselves even in the absence of the equilibrium magnetic field, which corresponds to nonmagnetic instabilities.     

The structure of chaotic magnetic field lines in a tokamak withexternal nonsymmetric magnetic perturbations

We consider the effects of external nonsymmetric magnetostatic perturbations caused by resonant helical windings and a chaotic magnetic limiter on the plasma confined in a tokamak. The main purpose of both types of perturbation is to create a region in which field lines are chaotic in the Lagrangian sense: two initially nearby field lines diverge exponentially through many turns around the tokamak. The equilibrium field is obtained from the equations of magneto-hydrodynamic equilibrium written down in a polar toroidal coordinate system. The magnetic fields generated by the resonant helical windings and the chaotic magnetic limiter are obtained through an analytical solution of Laplace equation. The magnetic field line equations are integrated to give a Hamiltonian mapping of field lines that we use to characterize the structure of chaotic field lines. In the case of resonant windings, we obtained the map by both numerical integration and a Hamiltonian formulation. For a chaotic limiter, we analytically derived a symplectic map by using a Hamiltonian formulation     

An analytic solution of the stationary MHD equations for a rotating toroidal plasma

An analytic MHD equilibrium for an axisymmetric torodial plasma with toroidal and toroidal flow is obtained in the limit of small ratio of poloidal to toroidal magnetic field and small beta. For a critical value of the poloidal velocity a limitation of the domain of validity of the solution appears.