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Improved neoclassical plasma confinement and turbulence suppression in a magnetic well in tokamak reactors
Nuclear Fusion ( IF 3.5 ) Pub Date : 2021-08-13 , DOI: 10.1088/1741-4326/ac1298
K.C. Shaing, M.S. Chu, Y.-K.M. Peng

It has been known that the width of the trapped particles, i.e. bananas, is reduced or squeezed in a magnetic well in tokamaks. The magnetic squeezing factor S B depends on the energy and pitch angle of the particles. When ρ p/a ∼ 1, S B becomes appreciably larger than unity; it can be of the order of 2 for a parabolic well with B −1 d2 B/dr 2 ∼ 2a −2. Here, ρ p is the poloidal gyro-radius, B is the magnetic field strength, r is the local minor radius, and a is the minor radius. However, the real orbit width measured in terms of the poloidal magnetic flux is still less than a because of the magnetic squeezing; for S B = 2, it is a 30% reduction. The transport consequences of the squeezed bananas in a magnetic well are calculated by solving the drift kinetic equation utilizing the constants of motion in the large aspect ratio limit. Consequently, neoclassical ion heat conductivity χ h in the reactor relevant collisionality regime (i.e. banana regime) is reduced by a factor of ${S}_{B}^{3/2}$; for S B = 2, it is almost a factor of three reduction for the same temperature. The ion temperature scaling of χ h improves from the conventional, and weakly favorable ${{T}_{i}}^{-1/2}$ scaling to the strongly favorable ${{T}_{i}}^{-2}$ scaling for high temperature fusion grade tokamak plasmas; the scaling however does not take the temperature dependence of the magnetic well itself into account. Here, T i is the ion temperature. In addition, it is shown that plasma turbulence is suppressed in a magnetic well using the reduced decorrelation time argument and anomalous plasma confinement is improved. The combined improvements result in a favorable temperature scaling in the ion energy confinement time, and make burning aneutronic fuels feasible. The implications on a tokamak with a magnetic well as a fusion reactor are discussed.



中文翻译:

托卡马克反应堆磁井中改进的新古典等离子体约束和湍流抑制

众所周知,在托卡马克的磁井中,被捕获的颗粒(即香蕉)的宽度会减小或被挤压。磁挤压因子S B取决于粒子的能量和俯仰角。当ρ p / a ∼ 1 时,S B明显大于 unity;对于具有B -1  d 2 B /d r 2 ∼ 2 a -2的抛物线阱,它可以是2的数量级。这里,ρ p是极向陀螺半径,B是磁场强度,r是局部小半径,并且 a是小半径。然而,由于磁挤压,用极向磁通测量的实际轨道宽度仍然小于α;对于S B = 2,减少 30%。通过利用大纵横比极限中的运动常数求解漂移动力学方程,可以计算在磁井中挤压香蕉的输运后果。因此,反应堆相关碰撞状态(即香蕉状态)中的新经典离子热导率χ h降低了;对于S B = 2,对于相同的温度,它几乎是减少的三倍。χ h的离子温度标度 ${S}_{B}^{3/2}$ 对于高温聚变级托卡马克等离子体,从传统的弱有利${{T}_{i}}^{-1/2}$结垢改进为强有利${{T}_{i}}^{-2}$结垢;然而,缩放没有考虑磁阱本身的温度依赖性。这里,T i是离子温度。此外,还表明使用减少的去相关时间参数抑制了磁阱中的等离子体湍流,并改善了异常等离子体限制。综合改进导致离子能量限制时间的有利温度缩放,并使非中子燃料的燃烧成为可能。讨论了对具有磁井的托卡马克作为聚变反应堆的影响。

更新日期:2021-08-13
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