Optimization of finite-sized modular coils for advanced stellarators

Li Yangbo; Liu Haifeng; Xu Yuhong; Shimizu Akihiro; Kinoshita Shigeyoshi; Okamura Shoichi; Isobe Mitsutaka; Xiong Guozhen; Luo Yang; Cheng Jun; Liu Hai; Wang Xianqu; Huang Jie; Zhang Xin; Yin Dapeng; Wan Yi; Tang Changjian

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Optimization of finite-sized modular coils for advanced stellarators

机译：优化高级螺筋管有限尺寸模块化线圈

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摘要

To date, almost all coil-design codes, e.g. NESCOIL, COILOPT, FOCUS codes, etc, have been primarily attributed to the optimization of filament coils for stellarators. However, evolving to a practical/finite-sized coil from a filament coil, the finite-size effect of coils significantly constrains the fabrication tolerances of a coil system. This paper presents a novel approach that emphasizes the optimization of practical modular coils to reduce sensitivity to fabrication tolerances and to achieve the expected magnetic configurations precisely. A new evaluation parameter, surface twist, is defined in this paper and applied to the optimization sequence in addition to the practical coil line torsion and curvature. The approach has been applied to the framework of the filament coil scheme in the Chinese first quasi-axisymmetric stellarator. This practical coil system without surface twists has been accomplished. Compared to the original finite-sized coil design, the new result is a more considerable simplification of coil shapes, such that in a certain direction view each finite-sized coil becomes a planar-like one. Moreover, this method can also be implemented for the estimation of stochastic deviations of practical coils during the fabrication and assembly of the coil system.

机译：迄今为止，几乎所有的线圈设计规范，如NESCOIL、COILPT、FOCUS代码等，都主要归功于恒星的灯丝线圈优化。然而，从灯丝线圈演变为实用/有限尺寸线圈时，线圈的有限尺寸效应显著限制了线圈系统的制造公差。本文提出了一种新的方法，强调优化实用模块化线圈，以降低对制造公差的敏感性，并精确实现预期的磁配置。本文定义了一个新的评价参数——表面扭曲度，并将其应用于优化序列中，以及实际的线圈线扭曲度和曲率。该方法已应用于中国第一台准轴对称恒星仪的灯丝-线圈方案框架。这种无表面扭曲的实用线圈系统已经实现。与最初的有限尺寸线圈设计相比，新的结果是线圈形状更加显著的简化，使得在某个方向上，每个有限尺寸线圈都变成了一个类似平面的线圈。此外，该方法还可用于估算线圈系统制造和组装过程中实际线圈的随机偏差。

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来源
《Plasma physics and controlled fusion》 |2020年第12期|共12页
作者
Li Yangbo; Liu Haifeng; Xu Yuhong; Shimizu Akihiro; Kinoshita Shigeyoshi; Okamura Shoichi; Isobe Mitsutaka; Xiong Guozhen; Luo Yang; Cheng Jun; Liu Hai; Wang Xianqu; Huang Jie; Zhang Xin; Yin Dapeng; Wan Yi; Tang Changjian;
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作者单位

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Natl Inst Nat Sci Natl Inst Fus Sci Toki Gifu 5095292 Japan;

Natl Inst Nat Sci Natl Inst Fus Sci Toki Gifu 5095292 Japan;

Natl Inst Nat Sci Natl Inst Fus Sci Toki Gifu 5095292 Japan;

Natl Inst Nat Sci Natl Inst Fus Sci Toki Gifu 5095292 Japan;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Natl Inst Nat Sci Natl Inst Fus Sci Toki Gifu 5095292 Japan;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

Hefei Keye Electro Phys Equipment Mfg Co Ltd Hefei 230000 Peoples R China;

Hefei Keye Electro Phys Equipment Mfg Co Ltd Hefei 230000 Peoples R China;

Southwest Jiaotong Univ Sch Phys Sci &

Technol Inst Fus Sci Chengdu 610031 Peoples R China;

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正文语种 eng
中图分类等离子体物理学;
关键词
coil optimization; quasi-axisymmetric stellarator; finite-size effect of coils;

机译：线圈优化;拟轴对称螺栓螺板;线圈的有限尺寸效果;

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2. Advanced optimization of gas turbine aero-engine transient performance using linkage-learning genetic algorithm: Part Ⅰ, building blocks detection and optimization in runway [J] . Yinfeng LIU, Soheil JAFARI, Theoklis NIKOLAIDIS 中国航空学报（英文版） . 2021,第004期
3. Reliability-based design optimization for flexible mechanism with particle swarm optimization and advanced extremum response surface method [J] . 张春宜, 宋鲁凯, 费成巍, 中南大学学报（英文版） . 2016,第008期
4. Dimensional accuracy of additively manufactured structures for modular coil windings of stellarators [J] . Queral V., Rincon E., Mirones V., Fusion Engineering and Design . 2017,第nova期

机译：恒星器模块化线圈绕组的增材制造结构的尺寸精度
5. Concept, production and validation of a 3D-printed coil frame for the UST_2 modular stellarator [J] . V.Queral Fusion Engineering and Design . 2014,第9a10期

机译：UST_2模块化恒星器的3D打印线圈架的概念，生产和验证
6. A Systematic study of modular coil characteristics for 2-field periods quasi-axisymmetric stellarator QAS-LA [J] . Jinxing Zheng, Yuntao Song, Joshua Breslau, Fusion Engineering and Design . 2014,第4期

机译：2场周期准轴对称恒星器QAS-LA的模块化线圈特性的系统研究
7. Modular Coil Design for the Ultra-Low Aspect Ratio Quasi-Axially Symmetric Stellarator MHH2 [C] . L. P. Ku IEEE/NPSS Symposium on Fusion Engineering . 2006

机译：模块化线圈设计用于超低纵横比准轴向对称螺旋液MHH2
8. Improved plasma equilibrium reconstruction for the HSX stellarator using an optimized array of magnetic coils. [D] . Chlechowitz, Enrico. 2014

机译：使用优化的电磁线圈阵列，改进了HSX恒星发生器的等离子体平衡重建。
9. Compact stellarators with modular coils [O] . P. R. Garabedian 2000

机译：带模块化线圈的紧凑型恒星器
10. Modular Coil Design for the Ultra-low Aspect Ratio Quasi-axially Symmetric Stellarator MHH2 [O] . Ku LP, the ARIES-CS Team 2005

机译：用于超低纵横比准轴对称仿生器mHH2的模块化线圈设计
11. Optimization of Modular Coils for Stellarator Fields [R] . Chu, T. K., Furth, H. P., Johnson, J. L., 1982

机译：用于仿星器场的模块化线圈的优化

Optimization of finite-sized modular coils for advanced stellarators

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