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Validation of the current and pressure coupling schemes with nonlinear simulations of TAE and analysis on the linear stability of tearing mode in the presence of energetic particles

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Plasma Science and Technology 2023年第4期25卷 39-50页

作者：张豪伟马志为 Institute for Fusion Theory and Simulation School of PhysicsZhejiang UniversityHangzhou 310027People’s Republic of China

Both current and pressure coupling schemes have been adopted in the hybrid kinetic–magnetohydrodynamic code CLT-K *** equivalences between these two coupling schemes are strictly verified under different ***,when considering only the perturbed distribution function of energetic particles(EPs),the equivalence can be proved ***,when both the variations of the magnetic field and the EP distribution function are included,the current and pressure coupling schemes numerically produce the same result in the nonlinear *** this basis,the influences of co-/counter-passing and trapped EPs on the linear stabilities of the m/n=2/1 tearing mode(TM)have been investigated(where m and n represent the poloidal and toroidal mode numbers,respectively).The results of scanningβh of EPs show that the co-passing and trapped EPs are found to stabilize the TM,while the counter-passing EPs tend to destabilize the *** behind(de)stabilization mechanisms of the TM by EPs are carefully ***,after exceeding critical EP betas,the same branch of the high-frequency mode is excited by co-/counterpassing and trapped EPs,which is identified as the m/n=2/1 energetic particle mode.

关键词： hybrid kinetic–magnetohydrodynamic simulation tearing mode energetic particle

On theoretical research for nonlinear tearing mode

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Plasma Science and Technology 2018年第9期20卷 8-11页

作者： Ding LI Wen YANG Huishan CAI Institute of Physics Chinese Academy of Sciences Beijing 100190 People's Republic of China Department of modern Physics University of Science and Technology of China Hefei 230026 People's Republic of China University of Chinese Academy of Sciences Beijing 100049 People's Republic of China

The analytical approaches for nonlinear tearing mode have been *** is shown that Rutherford＇s model has triggered numerous studies on the nonlinear tearing *** physical picture is clear meanwhile its mathematical method is ingenious but still puzzling to *** is trying to find how the ＇nonlinear behavior＇ resulted from the linear equation by a nonlinear *** is indicated that Li＇s model for the tearing mode includes the linear growth,Rutherford＇s behavior and the new *** was found that the quasilinear modification of magnetic field provided a new damping mechanism for nonlinear *** new behavior w~ t1/2 becomes dominant if the mode is weakly *** is shown that many analytical methods have been developed to calculate the criterion parameter D＇ of the tearing ***＇s instability criterion can cover the previous results in the limit cases.

关键词： tearing mode nonlinear evolution instability criterion

Suppression of the m/n=2/1 tearing mode by electron cyclotron resonance heating on J-TEXT

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Plasma Science and Technology 2024年第8期26卷 8-17页

作者：方建港陈忠勇严伟王能超毛飞越罗蔷玄子健陈曦璇任正康张峰黄梅夏冬辉杨州军陈志鹏丁永华 the J-TEXT Team State Key Laboratory of Advanced Electromagnetic Technology International Joint Research Laboratory of Magnetic Confinement Fusion and Plasma PhysicsSchool of Electrical and Electronic EngineeringHuazhong University of Science and TechnologyWuhan 430074People’s Republic of China Southwestern Institute of Physics Chengdu 610041People’s Republic of China

Stabilization of tearing modes and neoclassical tearing modes is of great importance for tokamak *** cyclotron waves(ECWs)have been extensively used to stabilize the tearing modes with the virtue of highly localized power *** suppression of the m/n=2/1 tearing mode(TM)by electron cyclotron resonance heating(ECRH)has been achieved successfully on the J-TEXT *** effects of ECW deposition location and power amplitude on the 2/1 TM suppression have been *** is found that the suppression is more effective when the ECW power is deposited closer to the rational *** the ECW power increases to approximately 230 k W,the 2/1 TM can be completely *** island rotation frequency is increased when the island width is *** experimental results show that the local heating inside the magnetic island and the resulting temperature perturbation increase at the O-point of the island play dominant roles in TM *** the ECW power increases,the 2/1 island is suppressed to smaller island width,and the flow shear also plays a stabilizing effect on small magnetic *** the stabilizing contribution of heating and flow shear,the 2/1 TM can be completely suppressed.

关键词： tearing mode electron cyclotron resonant heating tearing mode suppression

The Linear Evolution of tearing mode in Toroidal Geometry

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Plasma Science and Technology 2001年第6期3卷 1055-1062页

作者：任慎明俞国扬 Institute of Plasma Physics Chinese Academy of Sciences Hefei 230031 China

A set of linearly-reduced MHD equations in toroidal geometry has been solved nu- merically in flux coordinate with toroidal coupling. In the case of q > 1 on the magnetic axis, where q is the safety factor, the result shows that an unstable 2/1 tearing mode destabilizes both 1/1 and 3/1 modes. The 1/1 and 3/1 modes contribute local perturbations on the resonant surface of q = 2. And the 2/1 mode also contributes a local perturbation on the resonant surface of q = 3.

关键词： safety factor tearing mode

Recent progress in the interaction between energetic particles and tearing modes

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National Science Review 2022年第11期9卷 240-261页

作者： Huishan Cai Ding Li Chinese Academy of Sciences Key Laboratory of Geospace Environment School of Nuclear Sciences and TechnologyUniversity of Science and Technology of China Institute of Physics Chinese Academy of Sciences Songshan Lake Materials Laboratory

The dynamics of energetic particles and tearing modes and the interactions between them are of great significance for magnetically confined fusion plasmas. In this review, we focus on these issues in the context of tokamak plasmas. The interaction between energetic particles and tearing modes is considered from two perspectives:(i) the influence of energetic particles on tearing modes and(ii) the transport of energetic particles by tearing modes. The influence of energetic particles on tearing modes is described on the basis of a general dispersion relation for tearing modes. The effects of energetic particles are considered separately in the outer region and the island region of a tearing mode. The physics mainly results from the modification of the perturbed parallel current by energetic particles without wave–particle resonance. In addition, the resonance between energetic particles and tearing modes is also reviewed. For the transport of energetic particles, transport of both circulating and trapped energetic particles by tearing mode is reviewed. Our descriptions of physical phenomena here are based on an analytical approach, while the experiments and simulations are used to illustrate and confirm our results. Finally, a number of open issues are discussed.

关键词： magnetically confined plasma energetic particle tearing mode transport confinement tokamak

Power supply for generating frequency-variable resonant magnetic perturbations on the J-TEXT tokamak

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Plasma Science and Technology 2018年第8期20卷 96-103页

作者： Guo XU Bo RAO Yonghua DING Mao LI Da LI Ruo JIA Minxiong YAN Xinke JI Nengchao WANG Zhuo HUANG Daojing GUO Lai PENG State Key Laboratory of Advanced Electromagnetic Engineering and Technology Huazhong University of Science and TechnologyWuhan 430074People＇s Republic of China School of Electrical and Electronic Engineering Huazhong University of Science and TechnologyWuhan 430074People＇s Republic of China

To further research the response of the tearing mode（TM） to dynamic resonant magnetic perturbation（DRMP） on the J-TEXT tokamak, a modified series resonant inverter power supply（MSRIPS） with a function of discrete variable frequency is designed for DRMP coils in this study. The MSRIPS is an AC–DC–AC converter, including a phase-controlled rectifier, an LC filter, an insulated gate bipolar transistor（IGBT） full bridge, a matching transformer, three resonant capacitors with different capacitance values, and three corresponding silicon controlled rectifier（SCR） switches. The function of discrete variable frequency is realized by switching over different resonant capacitors with corresponding SCR switches while matching the corresponding driving frequency of the IGBT full bridge. A detailed switching strategy of the SCR switch is put forward to obtain sinusoidal current waveform and realize current waveform smooth transition during frequency conversion. In addition, a resistor and thyristor bleeder is designed to protect the SCR switch from overvoltage. Manufacturing of the MSRIPS is completed, and the MSRIPS equipment can output current with an amplitude of 1.5 kA when its working frequency jumps among different frequencies. Moreover, the current waveform is sinusoidal and can smoothly transition during frequency conversion. Furthermore, the transition time when the current amplitude rises from zero to a steady state is less than 2 ms during frequency conversion. By using the MSRIPS, the expected discrete variable frequency DRMP is generated, and the phenomenon of the TM being locked to the discrete variable frequency DRMP is observed on the J-TEXT tokamak.

关键词： tearing mode J-TEXT series resonant inverter discrete variable frequency silicon controlled rectifier

A brief review of the development and optimization of the three-dimensional magnetic configuration system in the J-TEXT tokamak

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Plasma Science and Technology 2022年第12期24卷 166-171页

作者： Zhonghe JIANG Yonghua DING Bo RAO Nengchao WANG Yangbo LI Jie HUANG International Joint Research Laboratory of Magnetic Confinement Fusion and Plasma Physics(IFPP) State Key Laboratory of Advanced Electromagnetic Engineering and TechnologySchool of Electrical and Electronic EngineeringHuazhong University of Science and TechnologyWuhan 430074People's Republic of China Forschungszentrum Jülich GmbH Institut für Energie-und Klimaforschung-PlasmaphysikJülich 52425Germany

The three-dimensional(3D) magnetic configuration system in the J-TEXT tokamak has featured in many experimental *** system mainly consists of three subsystems:the static resonant magnetic perturbation(SRMP) system,the dynamic resonant magnetic perturbation(DRMP) system and the helical coil *** SRMP coil system consist of two kinds of coils,*** six-loop coils and two five-loop *** can suppress tearing modes with a moderate strength,and may also cause mode locking with larger *** DRMP coil system consists of 12 single-turn saddle coils(DRMP1) and 12 double-turn saddle coils(DRMP2).Its magnetic field can be rotated at a few kHz,leading to either acceleration or deceleration of the tearing mode velocity and the plasma *** helical coil system consists of two closed coils,and is currently under construction to provide external rotational transform in *** 3D magnetic configuration system can suppress tearing modes,preventing and avoiding the occurrence of major disruption.

关键词： tearing mode resonant magnetic perturbation external rotational transform plasma stability J-TEXT tokamak

Numerical simulation of plasma response to externally applied resonant magnetic perturbation on the J-TEXT tokamak

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Plasma Science and Technology 2018年第5期20卷 23-29页

作者： Bicheng LI Zhonghe JIANG Jian LV Xiang LI Bo RAO Yonghua DING State Key Laboratory of Advanced Electromagnetic Engineering and Technology School of Electrical and Electronic EngineeringHuazhong University of Science and TechnologyWuhan 430074People＇s Republic of China

Nonlinear magnetohydrodynamic（MHD） simulations of an equilibrium on the J-TEXT tokamak with applied resonant magnetic perturbations（RMPs） are performed with NIMROD（non-ideal MHD with rotation,open discussion）.Numerical simulation of plasma response to RMPs has been developed to investigate magnetic topology,plasma density and rotation *** results indicate that the pure applied RMPs can stimulate 2/1 mode as well as 3/1 mode by the toroidal mode coupling,and finally change density profile by particle *** the same time,plasma rotation plays an important role during the entire evolution process.

关键词： resonant magnetic perturbations tearing mode particle transport

Identification and Analysis of Magnetic Structures on HL-2A

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Plasma Science and Technology 2006年第6期8卷 644-648页

作者：季小全杨青巍冯北滨周航宇袁保山陈伟杨州军 Huazhong University of Science and Technology Wuhan 430074China Southwestern Institute of Physics Chengdu 610041China

A method for the identification and analysis of magnetic islands is presented based on the calculation of the perturbative current and magnetic field in plasmas. A cylindrical approximation is adopted and the toroidal effect on plasma equilibrium is also included. This method has been used on the HL-2A tokamak for analysing the magnetic island structures.

关键词： HL-2A tokamak tearing mode magnetic island MHD instability