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首页> 外文期刊>Nuclear fusion >An area-preserving mapping in natural canonical coordinates for magnetic field line trajectories in the DIII-D tokamak
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An area-preserving mapping in natural canonical coordinates for magnetic field line trajectories in the DIII-D tokamak

机译：DIII-D托卡马克中自然线坐标中磁场线轨迹的保留区域映射

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The new approach of integrating magnetic field line trajectories in natural canonical coordinates (Punjabi and Ali 2008 Phys. Plasmas 15 122502) in divertor tokamaks is used for the DIII-D tokamak (Luxon and Davis 1985 Fusion Tcchnol. 8 441). The equilibrium EFIT data (Evans et al 2004 Phys. Rev. Lett. 92 235003, Lao et al 2005 Fusion Sci. Technol. 48 968) for the DIII-D tokamak shot 115467 at 3000 ms is used to construct the equilibrium generating function (EGF) for the DIII-D in natural canonical coordinates. The EGF gives quite an accurate representation of the closed and open equilibrium magnetic surfaces near the separatrix, the scparatrix, the position of the X-point and the poloidal magnetic flux inside the ideal separatrix in the DIII-D. The equilibrium safety factor q from the EGF is somewhat smaller than the DIII-D EFIT q profile. The equilibrium safety factor is calculated from EGF as described in the previous paper (Punjabi and Ali 2008 Phys. Plasmas 15 122502). Here the safety factor for the open surfaces in the DIII-D is calculated. A canonical transformation is used to construct a symplectic mapping for magnetic field line trajectories in the DIII-D in natural canonical coordinates. The map is explored in more detail in this work, and is used to calculate field line trajectories in the DIII-D tokamak. The continuous analogue of the map does not distort the DIII-D magnetic surfaces in different toroidal planes between successive iterations of the map. The map parameter k can represent effects of magnetic asymmetries in the DIII-D. These effects in the DIII-D are illustrated. The DIII-D map is then used to calculate stochastic broadening of the ideal separatrix from the topological noise and field errors, the low mn, the high mn and peeling-ballooning magnetic perturbations in the DIII-D. The width of the stochastic layer scales as 1/2 power of amplitude with a maximum deviation of 6% from the Boozer-Rechester scaling (Boozer and Rechester 1978 Phys. Fluids 21 682). The loss of poloidal flux scales linearly with the amplitude of perturbation with a maximum deviation of 10% from linearity. Perturbations with higher mode numbers result in higher stochasticity. The higher the complexity and coupling in the equilibrium magnetic geometry, the closer is the scaling to the Boozer-Rechester scaling of width. The comparison of the EGF for the simple map (Punjabi et al 1992 Phys. Rev. Lett. 69 3322) with that of the DIII-D shows that the more complex the magnetic geometry and the more coupling of modes in equilibrium, the more robust or resilient is the system against the chaos-inducing, symmetry-breaking perturbations.
机译：DIII-D托卡马克采用了在自然规范坐标中整合磁场线轨迹的新方法（Punjabi和Ali 2008 Phys.Plasmas 15 122502）用于DIII-D托卡马克（Luxon和Davis 1985 Fusion Tcchnol。8 441）。 DIII-D托卡马克喷枪115467在3000 ms的平衡EFIT数据（Evans等2004 Phys。Rev. Lett。92 235003，Lao等2005 Fusion Sci。Technol。48968）用于构建平衡生成函数（ DIII-D的自然规范坐标）。 EGF相当精确地表示了DIII-D中理想分离线内的分离线，分离线，X点的位置和极向磁通量附近封闭和开放的平衡磁性表面。 EGF的平衡安全系数q略小于DIII-D EFIT q曲线。如先前论文所述（Punjabi and Ali 2008 Phys。Plasmas 15 122502），根据EGF计算平衡安全系数。在此计算DIII-D中开放表面的安全系数。规范变换用于为自然规范坐标中DIII-D中的磁场线轨迹构造辛映射。在这项工作中将更详细地探索该地图，并将其用于计算DIII-D托卡马克中的场线轨迹。图的连续模拟不会在图的连续迭代之间使DIII-D磁性表面在不同的环形平面内变形。映射参数k可以表示DIII-D中的磁不对称效应。说明了DIII-D中的这些效果。然后使用DIII-D映射根据拓扑噪声和场误差，DIII-D中的低mn，高mn和剥离气球磁扰动来计算理想分离线的随机展宽。随机层的宽度缩放为振幅的1/2幂，与Boozer-Rechester缩放比例的最大偏差为6％（Boozer和Rechester 1978 Phys.Fluids 21 682）。极微通量的损失与扰动幅度成线性比例，与线性的最大偏差为10％。模式编号较高的摄动会导致较高的随机性。平衡磁几何中的复杂度和耦合度越高，则缩放比例越接近Boozer-Rechester宽度缩放比例。简单图的EGF（Punjabi et al 1992 Phys。Rev. Lett。69 3322）与DIII-D的EGF比较表明，磁几何越复杂，平衡模式的耦合越多，鲁棒性越强或具有弹性的系统是对抗引起混乱，破坏对称的扰动的系统。

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