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

主要研究结果如下：1.在聚变堆中使用ICRF加热时，远距离天线结构是可取的。数值计算结果表明，在LHD构型中，在最外磁表面附近共振加速的质子可以加热堆芯等离子体，同时也表明了远距离天线构型的可能性。2.平衡分析：高β等离子体被认为是维持质子硼聚变反应堆燃烧反应的主要因素。结果表明，任何磁场都可以用矢势的两个分量来描述，因此只要把矢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。以此为基础，我们建立了一种分析磁表面被混沌外磁力线区包围的LHD磁位形平衡位形的方法。通过对真空电磁场的数值计算，验证了该方法的有效性 关于我们 3.稳定性分析：在LHD位形的最外磁表面外存在混沌磁力线区。在混沌场线区，电荷分离立即被中和，混沌场线外的场线被固定在真空室壁上的一小段距离内。指出这种混沌磁力线区是LHD等离子体稳定维持的重要原因，并预言在LHD磁场中维持稳定的高β等离子体是可能的。4.质子硼聚变点火条件分析：从考虑LHD磁场中电子拖曳效应的ICRF加热分析表明，能量超过600 keV的质子的产生，这与质子-硼聚变反应有关，在目前的LHD中是可能的。指出由于ICRF的加热，质子分布函数形成准线性平台分布，并根据此分布计算聚变反应速率，表明满足质子-硼聚变的点火条件是可能的。5.建立了考虑波粒共振影响的麦克斯韦方程数值计算的新方法，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