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A 3D multi-mode geometry-independent RMP optimization method and its application to TCV

机译:一种与几何无关的3D多模RMP优化方法及其在TCV中的应用

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摘要

Resonant magnetic perturbation (RMP) and error field correction (EFC) produced by toroidally and poloidally distributed coil systems can be optimized if each coil is powered with an independent power supply. A 3D multi-mode geometry-independent Lagrange method has been developed and appears to be an efficient way to minimize the parasitic spatial modes of the magnetic perturbation and the coil current requirements while imposing the amplitude and phase of a number of target modes. A figure of merit measuring the quality of a perturbation spectrum with respect to RMP independently of the considered coil system or plasma equilibrium is proposed. To ease the application of the Lagrange method, a spectral characterization of the system, based on a generalized discrete Fourier transform applied in current space, is performed to determine how spectral degeneracy and side-band creation limit the set of simultaneously controllable target modes. This characterization is also useful to quantify the efficiency of the coil system in each toroidal mode number and to know whether optimization is possible for a given number of target modes. The efficiency of the method is demonstrated in the special case of a multipurpose saddle coil system proposed as part of a future upgrade of Tokamak a Configuration Variable (TCV). This system consists of three rows of eight internal coils, each coil having independent power supplies, and provides simultaneously EFC, RMP and fast vertical position control.
机译:如果每个线圈由独立的电源供电,则可以优化环形和极向分布的线圈系统产生的共振磁扰(RMP)和误差场校正(EFC)。已经开发出一种3D多模几何独立的拉格朗日方法,它似乎是一种有效的方法,可以在施加多个目标模式的振幅和相位的同时,将磁扰动的寄生空间模式和线圈电流需求最小化。提出了独立于所考虑的线圈系统或等离子体平衡来测量相对于RMP的扰动谱质量的品质因数。为了简化拉格朗日方法的应用,基于在当前空间中应用的广义离散傅里叶变换,对系统进行光谱表征,以确定光谱退化和边带创建如何限制同时可控目标模式的集合。该表征对于量化每个环形模式编号中的线圈系统的效率以及了解对于给定数量的目标模式是否可能进行优化也很有用。该方法的有效性在多功能鞍形线圈系统的特殊情况下得到了证明,该鞍形线圈系统是Tokamak配置变量(TCV)未来升级的一部分。该系统由三行八个内部线圈组成,每个线圈具有独立的电源,并同时提供EFC,RMP和快速垂直位置控制。

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