论文标题
组合等离子线圈优化算法
Combined plasma-coil optimization algorithms
论文作者
论文摘要
讨论了用于设计恒星剂的组合等离子体线圈优化方法，并提出了一种计算自由边界平衡的新方法。恒星优化的四个不同类别，其中两种是新颖的方法，是固定边界优化，广义的固定边界优化，准自由边界优化和自由边界（线圈）优化。使用多区域宽松的磁性磁性磁性（MRXMHD）能量函数，生物 - 萨瓦特积分，线圈 - 纤维型功能和虚拟壳体积分及其衍生物进行描述。提出的自由边界平衡计算与现有方法在如何提出边界问题方面有所不同，对于新方法，似乎没有相关的能量最小化原理，因为出现了非对称功能。我们建议使用光谱 - 盖尔金方法来解决此问题的弱公式，这将使自由边界的平衡计算降低到与固定边界计算相当的东西。在讨论组合的等离子线圈优化算法时，我们强调了稳定性矩阵的重要性。
Combined plasma-coil optimization approaches for designing stellarators are discussed and a new method for calculating free-boundary equilibria is proposed. Four distinct categories of stellarator optimization, two of which are novel approaches, are the fixed-boundary optimization, the generalized fixed-boundary optimization, the quasi free-boundary optimization, and the free-boundary (coil) optimization. These are described using the multi-region relaxed magnetohydrodynmics (MRxMHD) energy functional, the Biot-Savart integral, the coil-penalty functional and the virtual casing integral, and their derivatives. The proposed free-boundary equilibrium calculation differs from existing methods in how the boundary-value problem is posed, and for the new approach it seems that there is not an associated energy minimization principle because a non-symmetric functional arises. We propose to solve the weak formulation of this problem using a spectral-Galerkin method, and this will reduce the free-boundary equilibrium calculation to something comparable to a fixed-boundary calculation. In our discussion of combined plasma-coil optimization algorithms, we emphasize the importance of the stability matrix.
