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Journal Articles

Analysis of an aspect ratio effect on the stability of external MHD modes in tokamaks with the Newcomb equation

Aiba, Nobuyuki; Tokuda, Shinji; Ishizawa, Tomoko*

Journal of Plasma Physics, 72(6), p.1127 - 1131, 2006/12

 Times Cited Count:1 Percentile:3.39(Physics, Fluids & Plasmas)

We develop the method for the stability analysis of a ideal external magnetohydrodynamic (MHD) mode by solving the eigenvalue problem associated with the two-dimensional Newcomb equation, the inertia free linear ideal MHD equation. This eigenvalue problem can be expected to provide a powerful tool for not only a low-n external MHD mode but also a high-n mode, where n is a toroidal mode number. With this method, we analyze an effect of the aspect ratio on the stability of middle-n (1$$<$$n$$<$$10) external MHD modes in tokamaks; this gets attention for the design research of a high performance tokamak. As the result of this work, we study that external MHD modes become stable as the aspect ratio decreases, and also find that the stability of middle-n external modes becomes important because an effect of a conducting wall is enhanced by reducing the aspect ratio.

Journal Articles

Nonlinear behaviour of collisionless double tearing mode induced by electron inertia

Matsumoto, Taro; Naito, Hiroshi*; Tokuda, Shinji; Kishimoto, Yasuaki*

Nuclear Fusion, 45(11), p.1264 - 1270, 2005/11

 Times Cited Count:15 Percentile:43.88(Physics, Fluids & Plasmas)

A gyrokinetic particle simulation is executed to clarify the effect of the electron inertia on the MHD phenomena in the reversed shear configuration (RSC) of a cylindrical tokamak plasma. It is found that the collisionless (kinetic) double tearing modes grow up at the Alfv$'e$n time scale, and nonlinearly induce the internal collapse when the helical flux at the magnetic axis is less than that at the outer resonant surface. After the internal collapse, the secondary reconnection is induced by the current concentration due to the $$m=2$$ convective flow. It is also clarified that a nonlinear dynamics accompanied with the elementary processes caused by the $$m=2$$ flow can generate a new RSC with resonant surfaces. In the presence of the density gradient, after the full reconnection induced by the $$m=2$$ mode, the radial electric field is found to be generated due to the difference of the $${bf E} times {bf B}$$ motion between ions and electrons. However, the intensity of the radial field is not so large as that induced by the collisionless kink mode.

Journal Articles

Application of the two-dimensional Newcomb problem to compute the stability matrix of external MHD modes in a tokamak

Aiba, Nobuyuki*; Tokuda, Shinji; Ishizawa, Tomoko*; Okamoto, Masao*

Plasma Physics and Controlled Fusion, 46(11), p.1699 - 1721, 2004/11

 Times Cited Count:3 Percentile:9.60(Physics, Fluids & Plasmas)

The theory of the Newcomb equation has been applied to low-n external modes in a tokamak and a method has been developed to compute the stability matrix that gives the change of plasma potential energy due to external modes in terms of the surface values of the perturbations. By using this method, the spectral properties of the ideal external modes has been elucidated, such as coupling between external modes and internal modes, and the difference of the stability properties between a normal shear tokamak and a reversed shear tokamak. These results will be also useful in the stability analysis of resistive wall modes.

Journal Articles

Theory of the Newcomb equation and applications to MHD stability analysis of a tokamak

Tokuda, Shinji; Aiba, Nobuyuki*

Journal of Plasma and Fusion Research SERIES, Vol.6, p.207 - 209, 2004/00

Recent progress in the theory of the Newcomb equation is reported. Emphasis is put on the analysis of external modes including peeling modes (high $$n$$ kink modes), where $$n$$ is the toroidal mode number. A theory for low $$n$$ external modes is developed so that it is also useful for the analysis of resistive wall modes.

Journal Articles

Overview of physics basis for ITER

Mukhovatov, V.*; Shimada, Michiya; Chudnovskiy, A. N.*; Costley, A. E.*; Gribov, Y.*; Federici, G.*; Kardaun, O. J. F.*; Kukushkin, A. S.*; Polevoi, A. R.*; Pustovitov, V. D.*; et al.

Plasma Physics and Controlled Fusion, 45(12), p.235 - 252, 2003/12

 Times Cited Count:70 Percentile:86.84(Physics, Fluids & Plasmas)

ITER will be the first magnetic confinement device with burning DT plasma and fusion power of about 0.5 GW. During the past few years, new results have been obtained that substantiate the confidence in achieving Q $$>$$ 10 in ITER with inductive H-mode operation. These include achievement of a good H-mode confinement near the Greenwald density at high triangularity of the plasma cross section; improvements in theory-based confinement projections for the core plasma; improvement in helium ash removal due to the elastic collisions of He atoms with D/T ions in the divertor predicted by modelling; demonstration of feedback control of NTMs and resultant improvement in the achievable beta-values; better understanding of ELM physics and development of ELM mitigation techniques; and demonstration of mitigation of plasma disruptions. ITER will have a flexibility to operate also in steady state and intermediate (hybrid) regimes. The paper concentrates on inductively driven plasma performance and discusses requirements for steady-state operation in ITER.

JAEA Reports

Review of JT-60U experimental results in 2001 and 2002

JT-60 Team

JAERI-Review 2003-029, 197 Pages, 2003/11

JAERI-Review-2003-029.pdf:13.06MB

no abstracts in English

Journal Articles

Ferromagnetic and resistive wall effects on the beta limit in a Tokamak

Kurita, Genichi; Tsuda, Takashi; Azumi, Masafumi; Ishida, Shinichi; Takeji, Satoru*; Sakasai, Akira; Matsukawa, Makoto; Ozeki, Takahisa; Kikuchi, Mitsuru

Nuclear Fusion, 43(9), p.949 - 954, 2003/09

 Times Cited Count:32 Percentile:66.20(Physics, Fluids & Plasmas)

In order to improve economic and environmental suitability of tokamak fusion reactors, both the accomplishment of high beta plasmas and the practical use of low activation materials to reduce the amount of radioactive waste are crucially important. Low radio-activation ferritic steel is considered as a most promising candidate for structural material in DEMO reactors, and there is the possibility of reduction of critical beta value by the deterioration of MHD stability due to ferromagnetism of ferritic steel. This paper investigates the effect of ferromagnetism with plasma flow on the beta limit of tokamak plasma by carrying out MHD stability analyses including ferromagnetic and plasma flow effects.

Journal Articles

Drift stabilization of internal resistive-wall modes in tokamaks

Konovalov, S. V.; Mikhailovskii, A. B.*; Tsypin, V. S.*; Galv$~a$o, R. M. 0.*; Nascimento, I. C.*

Plasma Physics Reports, 29(9), p.779 - 784, 2003/09

 Times Cited Count:2 Percentile:5.88(Physics, Fluids & Plasmas)

The problem of drift stabilization of internal resistive-wall modes (RWMs) in tokamaks is theoretically investigated. The basic assumption of our model is that these modes are unstable in the absence of a conducting wall and stable in the presence of a close-fitting ideally conducting wall, when drift effects are neglected. Stability of the internal RWMs, was estimated for several existing tokamaks contributing to the ITER data base, namely, AUG (ASDEX-Upgrade), DIII-D, JET, TFTR and JT-60U, as well as for the projected ITER-FEAT. It is concluded that although drift effects do not stabilize the internal RWMs in current devices, they should be effective for suppressing these modes in reactor-grade tokamaks.

Journal Articles

Inner layer problem for ideal MHD modes in a toroidal system

Tokuda, Shinji

Proceedings of 30th EPS Conference on Controlled Fusion and Plasma Physics (CD-ROM), 4 Pages, 2003/00

When we solve the eigenvalue problem associated with the two-dimensional Newcomb equation, we can identify the stability of a tokamak plasma against ideal MHD perturbations. The eigenvalue problem does not give the physical growth rate when the plasma is unstable. However, we can determine the growth rate by constructing a dispersion relation that gives the relation between the growth rate and the eigenvalue. It is expected that the dispersion relation provides an effective and fast method of stability analysis of MHD modes close to the marginal stability against ideal MHD perturbations, and the relation can be extended for non-ideal MHD modes close to the marginal stability.

Journal Articles

Magnetohydrodynamic stability of improved confinement plasmas in JT-60U

Takeji, Satoru; Isayama, Akihiko; Ozeki, Takahisa; Tokuda, Shinji; Ishii, Yasutomo; Oikawa, Toshihiro; Ishida, Shinichi; Kamada, Yutaka; Neyatani, Yuzuru; Yoshino, Ryuji; et al.

Fusion Science and Technology (JT-60 Special Issue), 42(2-3), p.278 - 297, 2002/09

 Times Cited Count:7 Percentile:3.03(Nuclear Science & Technology)

no abstracts in English

Journal Articles

Role of the shear flow profile on the stability of magnetic islands

Smolyakov, A. I.; Lazzaro, E.*; Coelho, R.*; Ozeki, Takahisa

Physics of Plasmas, 9(1), p.371 - 374, 2002/01

 Times Cited Count:8 Percentile:26.51(Physics, Fluids & Plasmas)

no abstracts in English

Journal Articles

Tokamak MHD stability; Newcomb equation and boundary layer equations

Tokuda, Shinji

Theory of Fusion Plasmas, p.87 - 102, 2002/00

We report on recent development of solution methods of the Newcomb equation and boundary layer equations, which play important roles in MHD stability analysis of a tokamak. Especially, the two-dimensional Newcomb equation is applied to external modes and the method is desctribed for computing the stability matrix of the external modes.

Journal Articles

Neoclassical tearing mode

Ozeki, Takahisa; Isayama, Akihiko

Purazuma, Kaku Yugo Gakkai-Shi, 77(5), p.409 - 419, 2001/05

Neoclassical tearing modes (NTMs) which are induced by lack of the bootstrap current inside the magnetic island are reviewed based on the modified Rutherford equation. Theoretical bases and experimental observations of NTM are described. The beta value scaling of the growth of NTM and the mechanism of the growth are discussed. Influence of NTM on energy confinement is described, and the stabilization of NTM by electron cyclotron current drive (ECCD) is introduced.

Journal Articles

A New scheme for inner layer equations in resistive MHD stability theory of plasmas

Tokuda, Shinji

Purazuma, Kaku Yugo Gakkai-Shi, 77(3), p.276 - 283, 2001/03

no abstracts in English

Journal Articles

A New approach to the two-dimensional Newcomb equation

Tokuda, Shinji

Journal of Accelerator and Plasma Research, 5(1), p.87 - 108, 2000/00

no abstracts in English

Journal Articles

A New eigenvalue problem associated with the two-dimensional Newcomb equation without continuous spectra

Tokuda, Shinji;

Physics of Plasmas, 6(8), p.3012 - 3026, 1999/08

 Times Cited Count:59 Percentile:83.25(Physics, Fluids & Plasmas)

no abstracts in English

Journal Articles

ITER physics basis, 3; MHD stability, disruptional limits and disruptions

ITER Physics Expert Group on Disruptions, Plasma Control, and MHD

Nuclear Fusion, 39(12), p.2251 - 2389, 1999/00

no abstracts in English

Journal Articles

MHD instability induced by the internal transport barrier

Ozeki, Takahisa

Purazuma, Kaku Yugo Gakkai-Shi, 74(9), p.998 - 1005, 1998/09

no abstracts in English

Journal Articles

Ideal magnetohydrodynamic instabilities with low toroidal mode numbers localized near an internal transport barrier in high-$$beta$$p mode plasmas in the Japan Atomic Energy Research Institute Tokamak-60 upgrade

Takeji, Satoru; Kamada, Yutaka; Ozeki, Takahisa; Ishida, Shinichi; Takizuka, Tomonori; Neyatani, Yuzuru; Tokuda, Shinji

Physics of Plasmas, 4(12), p.4283 - 4291, 1997/12

 Times Cited Count:16 Percentile:48.94(Physics, Fluids & Plasmas)

no abstracts in English

JAEA Reports

MARG2D code, 1; Eigenvalue problem for two dimensional Newcomb equation

Tokuda, Shinji;

JAERI-Data/Code 97-040, 105 Pages, 1997/10

JAERI-Data-Code-97-040.pdf:2.32MB

no abstracts in English

59 (Records 1-20 displayed on this page)