Magnetic diagnostics layout design for CFETR plasma equilibrium reconstruction

Plasma equilibrium reconstruction provides essential information for tokamak operation and physical analysis.An extensive and reliable set of magnetic diagnostics is required to obtain accurate plasma equilibrium.This study designs and optimizes the magnetic diagnostics layout for the reconstruction of the equilibrium of the plasma according to the scientific objectives,engineering design parameters,and limitations of the Chinese Fusion Engineering Test Reactor(CFETR).Based on the CFETR discharge simulation,magnetic measurement data are employed to reconstruct consistent plasma equilibrium parameters,and magnetic diagnostics'number and position are optimized by truncated Singular value decomposition,verifying the redundancy reliability of the magnetic diagnostics layout design.This provides a design solution for the layout of the magnetic diagnostics system required to control the plasma equilibrium of CFETR,and the developed design and optimization method can provide effective support to design magnetic diagnostics systems for future magnetic confinement fusion devices.

Plasma equilibrium calculation in J-TEXT tokamak

Plasma equilibrium has been calculated using an analytical method. The plasma profiles of the current density, safety factor, pressure and magnetic surface function are obtained. The analytical solution of the Grad–Shafranov（GS） equation is obtained by the variable separation method and compared with the computed results of the equilibrium fitting code EFIT.

A plasma equilibrium model for rapid estimation of SF-MPDT performance

In this work, a zero-dimensional plasma model for self-field magnetoplasmadynamic thrusters(SF-MPDTs) is proposed, which is based on the ion-number balance equation and energy balance equation, and can calculate the average electron temperature and the average ion temperature inside the discharge chamber conveniently. At the same time, the model can also predict the thruster performance, and the thruster performance predicted by the model is compared with experimental results, which proved the reliability of the model.

Estimation of plasma equilibrium parameters via a neural network approach

Plasma equilibrium parameters such as position, X-point, internal inductance, and poloidal beta are essential information for efficient and safe operation of tokamak. In this work, the artificial neural network is used to establish a non-linear relationship between the measured diagnostic signals and selected equilibrium parameters. The estimation process is split into a preliminary classification of the kind of equilibrium(limiter or divertor) and subsequent inference of the equilibrium parameters. The training and testing datasets are generated by the tokamak simulation code(TSC), which has been benchmarked with the EAST experimental data. The noise immunity of the inference model is tested. Adding noise to model inputs during training process is proved to have a certain ability for maintaining performance.

Deep learning approaches to recover the plasma current density profile from the safety factor based on Grad–Shafranov solutions across multiple tokamaks

Many magnetohydrodynamic stability analyses require generation of a set of equilibria with a fixed safety factor q-profile while varying other plasma parameters.A neural network(NN)-based approach is investigated that facilitates such a process.Both multilayer perceptron(MLP)-based NN and convolutional neural network(CNN)models are trained to map the q-profile to the plasma current density J-profile,and vice versa,while satisfying the Grad–Shafranov radial force balance constraint.When the initial target models are trained,using a database of semianalytically constructed numerical equilibria,an initial CNN with one convolutional layer is found to perform better than an initial MLP model.In particular,a trained initial CNN model can also predict the q-or J-profile for experimental tokamak equilibria.The performance of both initial target models is further improved by fine-tuning the training database,i.e.by adding realistic experimental equilibria with Gaussian noise.The fine-tuned target models,referred to as fine-tuned MLP and fine-tuned CNN,well reproduce the target q-or J-profile across multiple tokamak devices.As an important application,these NN-based equilibrium profile convertors can be utilized to provide a good initial guess for iterative equilibrium solvers,where the desired input quantity is the safety factor instead of the plasma current density.

Experimental confirmation of the linear relation between plasma current and external vertical magnetic field in EXL-50 spherical torus energetic electron plasmas

A three-fluid equilibrium plasma with bulk plasma and energetic electrons has been observed on the Xuanlong-50(EXL-50) spherical torus, where the energetic electrons play a crucial role in sustaining the plasma current and pressure. In this study, the equilibrium of a multi-fluid plasma was investigated by analyzing the relationship between the external vertical magnetic field(B_(V)),plasma current(I_(p)), the poloidal ratio(β_(p)) and the Shafranov formula. Remarkably, our research demonstrates some validity of the Shafranov formula in the presence of multi-fluid plasma in EXL-50 spherical torus. This finding holds significant importance for future reactors as it allows for differentiation between alpha particles and background plasma. The study of multi-fluid plasma provides a significant reference value for the equilibrium reconstruction of burning plasma involving alpha particles.

Generalization of Solovev's approach to finding equilibrium solutions for axisymmetric plasmas with flow

Solovev's approach of finding equilibrium solutions was found to be extremely useful for generating a library of linear-superposable equilibria for the purpose of shaping studies.This set of solutions was subsequently expanded to include the vacuum solutions of Zheng,Wootton and Solano,resulting in a set of functions{SOLOVEV_ZWS}that were usually used for all toroidally symmetric plasmas,commonly recognized as being able to accommodate any desired plasma shapes(complete-shaping capability).The possibility of extending the Solovev approach to toroidal equilibria with a general plasma flow is examined theoretically.We found that the only meaningful extension is to plasmas with a pure toroidal rotation and with a constant Mach number.We also show that the simplification ansatz made to the current profiles,which was the basis of the Solovev approach,should be applied more systematically to include an internal boundary condition at the magnetic axis;resulting in a modified and more useful set{SOLOVEV_ZWSm}.Explicit expressions of functions in this set are given for equilibria with a quasi-constant current density profile,with a toroidal flow at a constant Mach number and with specific heat capacity 1.The properties of{SOLOVEV_ZWSm}are studied analytically.Numerical examples of achievable equilibria are demonstrated.Although the shaping capability of the set{SOLOVE_ZWSm}is quite extensive,it nevertheless still does not have complete shaping capability,particularly for plasmas with negative curvature points on the plasma boundary such as the doublets or indented bean shaped tokamaks.

A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

In this paper we present a coupled Finite Element Method–Boundary Element Method(FEM-BEM)approach for the solution of the free-boundary axi-symmetric plasma equilibrium problem.The proposed method,obtained from an improvement of the Hagenow-Lackner coupling method,allows to efficiently model the equilibrium problem in unbounded domains by discretizing only the plasma region;the external conductors can be modelled either as 2D or 3D models,according to the problem of interest.The paper explores different iterative methods for the solution of the nonlinear Grad-Shafranov equation,such as Picard,Newton-Raphson and Newton-Krylov,in order to provide a robust and reliable tool,able to handle large-scale problems(e.g.high resolution equilibria).This method has been implemented in the FRIDA code(FReeboundary Integro-Differential Axisimmetric–https://github.om/matteobonotto/FRIDA),together with a suitable Adaptive Integration Technique(AIT)for the computation of the source term.FRIDA has been successfully tested and validated against experimental data from RFX-mod device,and numerical equilibria of an ITER-like device.

Effect of La_2O_3/γAl_2O_3 Catalyst on the Activation of CH_4 and CO_2 to C_02 Hydrocarbons under Non-equilibrium Plasma

In the reaction of methane and carbon dioxide to C2 hydrocarbons under non-equilibrium plasma, methane conversion was decreased, but selectivity of C2 hydrocarbons was increased when using La2O3/?Al2O3 as catalyst. So the yield of C2 hydrocarbons was higher than using plasma alone. The synergism of La2O3/?Al2O3 and plasma gave methane conversion of 24.9% and C2 yield of 18.1%. The distribution of C2 hydrocarbons changed when Pd- La2O3/?Al2O3 was used as catalyst, the major C2 product was ethylene.

Catalytic Effect of Activated Carbon and Activated Carbon Fiber in Non-Equilibrium Plasma-Based Water Treatment

Catalysis and regeneration efficiency of granular activated carbon （GAC） and activated carbon fiber （ACF） were investigated in a non-equilibrium plasma water treatment reactor with a combination of pulsed streamer discharge and GAC or ACF. The experimental results show that the degradation efficiency of methyl orange （MO） by the combined treatment can increase 22% （for GAC） and 24% （for ACF） respectively compared to pulsed discharge treatment alone, indicating that the combined treatment has a synergetic effect. The MO degradation efficiency by the combined treatment with pulsed discharge and saturated GAC or ACF can increase 12% and 17% respectively compared to pulsed discharge treatment alone. Both GAC and ACF show catalysis and the catalysis of ACF is prominent. Meanwhile, the regeneration of GAC and ACF are realized in this process. When H202 is introduced into the system, the utilization efficiency of ozone and ultraviolet light is improved and the regeneration efficiency of GAC and ACF is also increased.

Experimental Study of a Minitype Atmospheric Non-equilibrium Plasma Source

A mini-type of plasma source was studied experimentally. The results showed that the plasma density, which was generated by an atmospheric non-equilibrium plasma source, rises with the increase in driving electric-field and the momentum of gas particles. For a driving electricfield of 56 kV/cm and a gas particles＇ momentum of 10^9 × 10^-22 g·m/s, the ion density can exceed 10^10/cm^3 while the effective volume of the plasma source is only 2.5 cm^2. This study may help develop a method to generate a minitype plasma source with low energy consumption but high ion concentration. This source can be used in chemical industry, environmental engineering and military applications.

Numerical Analysis of MHD Accelerator with Non-Equilibrium Air Plasma

Magnetohydrodynamic （MHD） accelerator is proposed as a next generation propulsion system. It can be used to increase the performance of a propulsion system. The objective of this study is to investigate the performance of MHD accelerator using non-equilibrium air plasma as working gas. In this study, the fundamental performance of MHD accelerator such as flow performance and electrical performance is evaluated at different levels of applied magnetic field using I-D numerical simulation. The numerical simulation is developed based on a set of differential equations with MHD approximation. To solve this set of differential equations the MacCormack scheme is used. A specified channel designed and developed at NASA Marshall Space Flight Centre is used in the numerical simulation. The composition of the simulated air plasma consists of seven species, namely, N2, N, O2, O, NO, NO＋, and e-. The performance of the non-equilibrium MHD accelerator is also compared with the equilibrium MHD accelerator.

Simultaneous determination of human plasma protein binding of bioactive favonoids in Polygonum orientale by equilibrium dialysis combined with UPLC–MS/MS

A simple and selective ultra performance liquid chromatography--electrospray ionization tandem mass spectrometry （UPLC-ESI-MS/MS） assay was developed for the determination of the human plasma protein binding of four bioactive ftavonoids （such as orientin and vitexin） in Polygonum orientale. Protein precipitation was used for sample preparation. Equilibrium dialysis technique was applied to determine the plasma protein binding under physiological conditions. The separation was achieved through a Waters C i s column with a mobile phase composed of 0.1% formic acid in acetonitrile and 0.1% aqueous formic acid using step gradient elution at a flow rate of 0.35 mL/min. A Waters ACQUITYTM TQD system was operated under the multiple reaction monitoring （MRM） mode of positive electrospray ionization. All of the recovery, precision, accuracy and stability of the method met the requirements. Good correlations （r 〉 0.99） of the four compounds were found, which suggested that these compounds can be simultaneously determined with acceptable accuracy. Results showed that the plasma protein bindings of the four bioactive flavonoids were in the range of 74-89% over the six concentrations studied. The binding parameters containing protein binding affinity, protein binding dissociation constant, and protein binding site were studied. The maximum ability to bind with protein was also determined in the assay in order to understand the drug-protein binding of each compound better.

Effect of shear equilibrium flow in Tokamak plasma on resistive wall modes

A code named LARWM with non-ideal magnetohydrodynamic equations in cylindrical model is used to describe the instability in Tokamak plasma surrounded by a conducting wall with finite resistivity. We mainly take three factors related to the shear equilibrium plasma flow into consideration to study the stabilizing effect of the shear flow on the resistive wall modes （RWMs）. The three factors are the velocity amplitude of flow, the shear rate of flow on plasma surface, and the inertial energy of equilibrium plasma flow. In addition, a local shear plasma flow is also calculated by the LARWM code. Consequently, it is found that the inertial energy of the shear equilibrium plasma flow has an important role in the stabilization of the RWMs.

EQUILIBRIUM POTENTIAL OF DUST GRAINS IN COMETARY PLASMA ENVIRONMENTS

The equilibrium potential of fluffy dust grains in plasma are calculated for comet P/Halley and comet P/G-Z. It is found that the dust equilibrium potential linearly correlates with the logarithm of electron density. We propose this relationship can also be applied to comet Hale-Bopp.

基于Python的托卡马克等离子体位形编辑器设计与实现

等离子体位形控制是等离子体实验控制的重要组成部分,设计满足放电要求的等离子体平衡位形是等离子体控制系统的重要功能之一。根据位形计算原理、中国聚变工程实验堆等离子体控制系统用户界面集成原理及用户界面需求,采用开源的Python语言及PyQt库,设计开发位形编辑器,用于等离子体期望位形设计和优化;并提供期望位形输入数据,供其集成使用。对主要模块进行复用,开发可独立运行的位形编辑器,能够灵活适用于不同的托卡马克装置。测试结果显示,该编辑器能满足单机运行的需求,同时消除了必须登录等离子体控制系统才可进行位形设计工作的弊端。

Equilibrium Reconstruction in EAST Tokamak

Reconstruction of experimental axisymmetric equilibria is an important part of tokamak data analysis. Fourier expansion is applied to reconstruct the vessel current distribution in EFIT code. Benchmarking and testing calculations are performed to evaluate and validate this algorithm. Two cases for circular and non-circular plasma discharges are presented. Fourier expansion used to fit the eddy current is a robust method and the real time EFIT can be introduced to the plasma control system in the coming campaign.

平衡透析法测定加米霉素与猪、牛和羊的血浆蛋白结合率

为测定加米霉素与常见家畜的血浆蛋白结合率(PPBR),本试验建立猪、牛和羊血浆中加米霉素的高效液相色谱-串联质谱检测方法,并对该方法的专属性、检测限、定量限、标准曲线、提取回收率和精密度进行考察。采用平衡透析法测定不同浓度(0.1、0.5和2.5μg/mL)加米霉素与猪、牛和羊的PPBR。结果显示,在考察浓度范围内,加米霉素在猪、牛和羊血浆中的专属性较好,检测限和定量限分别为0.5和1.0 ng/mL,标准曲线呈现良好的线性关系(r>0.997)。加米霉素在猪、牛和羊血浆中的提取回收率介于91.2%~107.8%,日内和日间精密度相对标准偏差(RSD)分别小于6.59%和9.16%。加米霉素与猪、牛和羊的平均PPBR分别为(21.86±4.19)%、(27.51±6.95)%和(19.64±3.58)%,且在考察的浓度范围内无浓度依赖特征。本试验所建方法准确可靠,可用于测定加米霉素与猪、牛和羊的PPBR。本试验结果可为加米霉素的药物代谢动力学研究及其在兽医临床中的科学用药提供参考依据。

C_(4)F_(7)N混合气体电弧等离子体热力学性质研究

C_(4)F_(7)N/CO_(2)混合气体作为目前极具潜力的SF_(6)替代气体之一,在开断大容量短路电流中存在固体碳析出的问题。研究表明,向混合气体中加入O_(2)能够抑制固体碳的生成,也能有效增大灭弧室压力并提高气体的熄弧性能。为深入探究O_(2)对混合气体电弧能量耗散影响,在假设局部热力学平衡条件下,基于吉布斯自由能计算了不同O_(2)含量的C_(4)F_(7)N/CO_(2)混合气体电弧等离子体粒子组分,并用标准的统计热物理的计算方法得到了不同混合比例气体的热力学性质,对比分析了不同O_(2)含量及压强对混合气体电弧等离子体热力学性质的影响。结果表明:O_(2)在低温区抑制了CO的生成,导致不同O_(2)含量的混合气体在热力学性质上有一定的差异;C_(4)F_(7)N混合气体的轴向热对流能力大于SF_(6),且在低温(大于8 kK)区与O_(2)浓度成正相关;温度小于5 kK时,C_(4)F_(7)N混合气体的径向热对流能力弱于SF_(6),且在低温(大于8 kK)区与O_(2)浓度成正相关。