Theoretical Study on Proton-Boron Fusion Reactor with LHD-Type Magnetic Field Configuration

研究结果总结如下：1。在聚变反应堆中使用ICRF加热需要远程天线配置。数值计算表明，在LHD配置中，在最外层磁面附近共振加速的质子可以加热核心等离子体，并显示了远程天线配置的可能性。平衡分析：假设高β等离子体在质子-硼聚变反应堆中维持燃烧反应。结果表明，任何磁场都可以用矢量势的两个分量来描述，因此，如果把矢量势和压强这两个分量看作未知函数，就可以构造和求解描述等离子体平衡的方程。利用这种方法，我们建立了一种分析磁面被外部混沌场线区域包围的LHD磁组态平衡组态的方法。通过对lhd真空磁性表面的数值计算，证明了该方法的有效性。稳定性分析：在LHD结构中，混沌场线区域存在于最外层磁面之外。在混沌场线区域内电荷分离被立即中和，混沌场线外的场线被固定在真空室壁上的一小段距离内。指出这一混沌场线区域有助于LHD等离子体的稳定维持，并预测在LHD磁场中维持稳定的高β等离子体是可能的。质子-硼聚变的点火条件分析：从LHD磁场中包含电子阻力影响的ICRF加热分析表明，在目前的LHD中，有可能产生与质子-硼聚变反应有关的能量超过600keV的质子。我们指出质子分布函数在ICRF加热作用下形成了一个准线性的平台分布，并根据这种分布计算了聚变反应速率，表明满足质子-硼聚变的点火条件是可能的。建立了包括波粒共振效应在内的麦克斯韦方程组的数值计算新方法，并验证了这些方法的有效性。少

Results of research are summarized as follows :1.Remoteness antenna configuration is desirable to use ICRF heating in a fusion reactor. It is shown numerically that protons resonantly accelerated near the most outer magnetic surface in the LHD configuration can heat core plasma, and also the possibility of remoteness antenna configuration is shown.2.Equilibrium analysis : High-beta plasma is presumed to sustain burning reaction in a proton-boron fusion reactor. It is shown that any magnetic field is described by two components of vector potential, and thus we can construct and solve equations describing plasma equilibrium if we consider these two components of vector potential and pressure as unknown functions. By using this, we have constructed a method to analyze the equilibrium configuration of the LHD magnetic configuration with magnetic surface surrounded by outer chaotic field line region. The validity of this method is shown from the numerical calculation for the vacuum magnetic … More surface of the LHD.3.Stability analysis : Chaotic field line region exists out of the most outer magnetic surface in the LHD configuration. Charge separation is neutralized immediately in the chaotic field line region, and field line out of chaotic field line is fixed in a short distance on a vacuum chamber wall. We point that this chaotic field line region contributes the stable sustainment of LHD plasma, and we predict that the sustainment of stable high-beta plasma is possible in the LHD magnetic field.4.Ignition condition analysis for proton-boron fusion : From the analysis of ICRF heating including the effect of electron drag in the LHD magnetic field, it is shown that the production of protons with the energy exceeding 600keV, which is concerned with proton-boron fusion reaction, is possible in the present LHD. We point that the proton distribution function forms a quasi-linear plateau distribution due to ICRF heating, and from the calculation of the fusion reaction rate with this distribution it is shown that the satisfaction of the ignition condition for proton-boron fusion is possible.5.New methods for numerically computing Maxwell equations including the effects of wave-particle resonances are established for electromagnetic wave propagation study, and the validity of these methods is confirmed. Less