论文标题
使用直接坐标方法来构建准对称恒星剂
Construction of Quasisymmetric Stellarators Using a Direct Coordinate Approach
论文作者
论文摘要
优化的恒星配置及其分析性能是使用近轴扩展方法获得的。这样的配置与良好的限制有关，因为指南中心粒子轨迹和新古典的传输对tokamak中的构成是同构的。这使他们成为融合反应堆候选者的吸引力。使用直接坐标方法，其中磁场和通量表面函数是根据位置向量在连续的距离内的距离距离距离的距离，而得出了第一阶和二阶准对称的普通微分方程的集合。准轴对称形状的示例是使用伪数值方法构建的。最后，直接坐标方法用于独立验证两个与准对称磁场相关的两个假设，即方程数超过膨胀中三阶参数的数量，并且近轴扩展并不能禁止在单个通量表面上实现精确的准对称性。
Optimized stellarator configurations and their analytical properties are obtained using a near-axis expansion approach. Such configurations are associated with good confinement as the guiding center particle trajectories and neoclassical transport are isomorphic to those in a tokamak. This makes them appealing as fusion reactor candidates. Using a direct coordinate approach, where the magnetic field and flux surface functions are found explicitly in terms of the position vector at successive orders in the distance to the axis, the set of ordinary differential equations for first and second order quasisymmetry is derived. Examples of quasi-axisymmetric shapes are constructed using a pseudospectral numerical method. Finally, the direct coordinate approach is used to independently verify two hypotheses commonly associated with quasisymmetric magnetic fields, namely that the number of equations exceeds the number of parameters at third order in the expansion and that the near-axis expansion does not prohibit exact quasisymmetry from being achieved on a single flux surface.
