标题： 增强拉格朗日方法为仿星器聚变反应堆生成前沿磁线圈 显示英文标题

标题： Augmented Lagrangian methods produce cutting-edge magnetic coils for stellarator fusion reactors

摘要： 找到适用于恒星环聚变装置的可行线圈是实现这一概念用于未来发电厂的关键。 线圈必须再现目标等离子体的物理特性，同时满足各种工程约束。 当前的努力难以在高度非凸的优化景观中导航，导致次优的恒星环线圈，或者耗费大量资源扫描连续参数空间。 在本工作中，我们提出了一种增强拉格朗日方法来解决线圈优化的不适定问题。 我们的方法产生了性能优于之前帕累托最优工作的解决方案，并表现出优异的物理和工程特性。 最后，我们通过为五个具有非常不同对称性和磁场形状的恒星环生成线圈来展示其有效性和通用性。 在所有情况下，我们找到了在各种方面优于已发表线圈组的线圈解决方案，包括建造和运行的反应堆，如Wendelstein 7-X（W7-X）和螺旋对称实验（HSX）。 显示英文摘要

摘要： Finding feasible coils for stellarator fusion devices is a crux of realizing this concept for future power plants. The coils must reproduce the physics properties of the target plasma while satisfying myriad engineering constraints. Current efforts struggle to navigate the highly nonconvex optimization landscape and result in suboptimal stellarator coils, and/or they end up spending considerable resources scanning the continuous parameter space. In this work, we present an augmented Lagrangian approach to tackle the ill-posed problem of coil optimization. Our approach yields solutions that out-perform previous Pareto-optimal work and display excellent physics and engineering properties. We conclude by illustrating its effectiveness and versatility by generating coils for five stellarators with very different symmetries and magnetic field shaping. In all cases, we find coil solutions that in various ways outperform published coil sets, including built and operating reactors such as Wendelstein 7-X (W7-X) and the Helically Symmetric eXperiment (HSX).