CN114121400B - A Simplified Permanent Magnet Stellarator Device - Google Patents
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Abstract
Description
技术领域technical field
本发明属于磁约束聚变能领域,涉及仿星器物理、工程设计,具体是一种简化的永磁体仿星器装置。The invention belongs to the field of magnetic confinement fusion energy, relates to stellarator physics and engineering design, in particular to a simplified permanent magnet stellarator device.
背景技术Background technique
仿星器是磁约束聚变研究领域最重要的研究装置类型之一,其通过三维非对称磁场来约束等离子体。然而正是由于其磁场位型的非对称特点,仿星器通常需要使用非常复杂的三维扭曲线圈来产生该磁场。以足够的精度制造、装配复杂的三维线圈,尤其是超导线圈,难度巨大且成本高昂。此外,由于以往线圈设计程序需要在真空室表面(绕组曲面)上进行线圈设计,如果真空室表面与等离子体边界形状类似,比较容易找到简单的线圈,这导致仿星器真空室形状结构非常复杂,因此其加工制造的难度以及成本同样很高。即使近期已经开发出不依赖真空室曲面进行线圈设计的程序,限于线圈本身的复杂形状及其布置方式,其围绕的用于设计真空室的空间依然非常有限,因此对真空室的设计仍然存在较大的限制。Stellarator is one of the most important types of research devices in the field of magnetic confinement fusion research, which confines plasma through a three-dimensional asymmetric magnetic field. However, precisely because of the asymmetrical characteristics of its magnetic field configuration, stellarators usually need to use very complicated three-dimensional twisted coils to generate the magnetic field. Manufacturing and assembling complex three-dimensional coils, especially superconducting coils, with sufficient precision is difficult and expensive. In addition, because the previous coil design program needs to design the coil on the surface of the vacuum chamber (winding surface), if the surface of the vacuum chamber is similar to the shape of the plasma boundary, it is easier to find a simple coil, which makes the shape and structure of the stellarator vacuum chamber very complicated. , so the difficulty and cost of its processing and manufacturing are also very high. Even though a program for coil design that does not depend on the curved surface of the vacuum chamber has been developed recently, the space for designing the vacuum chamber around it is still very limited due to the complex shape of the coil itself and its layout, so the design of the vacuum chamber is still limited. Big restrictions.
最新研究表明永磁体结合平面线圈可以代替三维扭曲线线圈产生仿星器磁场位型,平面线圈用于产生主要的环向磁场,永磁体用于产生极向磁场以及部分旋转变换。平面线圈具有十分成熟且先进的加工制造工艺,其生产难度和成本远低于复杂的三维扭曲线圈。永磁体价格低廉,无需能量维持,因此,永磁体结合平面线圈的设计可能极大地降低仿星器的建设难度和成本。已公开的专利CN202011636945.4已经基于此概念提出了标准化永磁体设计,这为永磁体仿星器的工程实现奠定了坚实的基础。此外,永磁体可以自由灵活布置的特点极大地增加了仿星器设计的自由度,这为仿星器真空室的简化设计提供了可行性。近期,美国普林斯顿大学正在筹建一台小型永磁体仿星器装置(MUSE),该装置采用了圆形平面线圈以及圆形极向截面真空室,一定程度上简化了仿星器装置结构。但是布置在其真空室外部的永磁体的分布以及相应的磁体框架结构较为复杂,永磁体的装配精度控制难度也较高。The latest research shows that permanent magnets combined with planar coils can replace three-dimensional twisted wire coils to generate the stellarator magnetic field pattern. The planar coils are used to generate the main toroidal magnetic field, and the permanent magnets are used to generate the poloidal magnetic field and part of the rotation transformation. Planar coils have a very mature and advanced manufacturing process, and their production difficulty and cost are much lower than those of complex three-dimensional twisted coils. Permanent magnets are cheap and do not require energy to maintain. Therefore, the design of permanent magnets combined with planar coils may greatly reduce the difficulty and cost of stellarator construction. The published patent CN202011636945.4 has proposed a standardized permanent magnet design based on this concept, which has laid a solid foundation for the engineering realization of permanent magnet stellarator. In addition, the free and flexible arrangement of the permanent magnets greatly increases the degree of freedom in the design of the stellarator, which provides the feasibility for the simplified design of the stellarator vacuum chamber. Recently, Princeton University in the United States is preparing to build a small permanent magnet stellarator device (MUSE), which uses a circular planar coil and a circular polar cross-section vacuum chamber, which simplifies the structure of the stellarator device to a certain extent. However, the distribution of the permanent magnets arranged outside the vacuum chamber and the corresponding magnet frame structure are relatively complicated, and it is difficult to control the assembly accuracy of the permanent magnets.
由于仿星器具备非常多吸引人的优点如稳态运行,无破裂风险以及低再循环能量等,一个工程简单,造价低廉的仿星器装置将会极大地推动仿星器研究的发展,而且,其不仅可以作为等离子体实验研究装置,还可以为等离子体应用领域提供高参数等离子体源。Since stellarators have many attractive advantages such as steady-state operation, no risk of rupture, and low recirculation energy, etc., a stellarator device with simple engineering and low cost will greatly promote the development of stellarator research, and , which can not only be used as a plasma experimental research device, but also provide a high-parameter plasma source for plasma applications.
发明内容Contents of the invention
针对仿星器线圈系统,真空室结构复杂的特点,本发明提出了一种简化的永磁体仿星器装置。该装置采用了矩形平面线圈以及标准化永磁体模块用于产生仿星器所需磁场位型,同时采用了矩形极向截面真空室,极大简化了仿星器真空室结构。该发明显著降低了仿星器结构复杂度,可以极大地降低仿星器的建设难度和成本。Aiming at the characteristics of the stellarator coil system and the complex structure of the vacuum chamber, the present invention proposes a simplified permanent magnet stellarator device. The device uses a rectangular planar coil and a standardized permanent magnet module to generate the magnetic field configuration required by the stellarator. At the same time, it uses a vacuum chamber with a rectangular polar cross section, which greatly simplifies the structure of the stellarator vacuum chamber. This invention significantly reduces the structural complexity of the stellarator, and can greatly reduce the construction difficulty and cost of the stellarator.
一种简化的永磁体仿星器装置,包括用于容纳等离子体的矩形极向截面真空室,标准化永磁体模块和矩形平面线圈;A simplified permanent magnet stellarator device, including a rectangular poloidal cross-section vacuum chamber for containing plasma, a standardized permanent magnet module and a rectangular planar coil;
所述的矩形极向截面真空室为环向对称结构,内侧(高场侧)、外侧(低场侧)形状为曲面,顶部、底部形状为平面;The vacuum chamber with a rectangular polar cross-section is a circumferentially symmetrical structure, the inner side (high field side) and the outer side (low field side) are curved, and the top and bottom are flat;
所述标准化永磁体模块所有磁体块为形状、大小相同的长方体,每一块磁体均沿着垂直于其各自表面的方向均匀磁化;All the magnet blocks of the standardized permanent magnet module are cuboids of the same shape and size, and each magnet is uniformly magnetized along a direction perpendicular to its respective surface;
所述标准化永磁体模块安装在所述矩形极向截面真空室外部,每一列磁体内部不存在空位且同一列内所有磁体块磁化方向相同;The standardized permanent magnet module is installed outside the vacuum chamber with rectangular polar cross-section, there is no vacancy inside each row of magnets and the magnetization direction of all magnet blocks in the same row is the same;
所述标准化永磁体模块磁化方向指向或背离所述矩形极向截面真空室,其中,在所述矩形极向截面真空室顶部或底部,永磁体磁化方向垂直于顶部或底部平面向上或向下,在所述矩形极向截面真空室内侧或外侧,永磁体在不同的环向位置磁化方向垂直于所述矩形极向截面真空室内侧或外侧曲面对应环向位置的切面向内或向外;The magnetization direction of the standardized permanent magnet module points to or departs from the vacuum chamber with a rectangular polar cross section, wherein, at the top or bottom of the vacuum chamber with a rectangular polar cross section, the magnetization direction of the permanent magnet is vertical to the top or bottom plane upward or downward, On the inside or outside of the vacuum chamber with rectangular polar cross section, the magnetization direction of the permanent magnet at different circumferential positions is perpendicular to the tangent plane of the inner or outer curved surface of the vacuum chamber with rectangular polar cross section corresponding to the circumferential position inward or outward;
所述矩形平面线圈围绕所述矩形极向截面真空室与标准化永磁体模块竖直安放。The rectangular planar coil is vertically placed around the rectangular poloidal section vacuum chamber and the standardized permanent magnet module.
进一步的,对于每一个矩形平面线圈,其拐角处存在一定弧度。Further, for each rectangular planar coil, there is a certain arc at its corner.
进一步的,上述矩形极向截面真空室可根据设计需求将矩形极向截面替换为五边形,六边形、七边形、八边形等规则形状,且对应位置同样可布置所述磁化方向指向或者背离所述真空室的标准化永磁体模块。Further, the above-mentioned rectangular poloidal section vacuum chamber can replace the rectangular polar section with regular shapes such as pentagons, hexagons, heptagons, and octagons according to design requirements, and the magnetization direction can also be arranged at the corresponding positions A standardized permanent magnet module pointing or facing away from the vacuum chamber.
进一步的,上述标准化永磁体模块的磁体块形状也可替换为其他规则形状,包括:平行四边形棱柱、三棱柱、梯形棱柱等,这些形状可通过规则长方体形状拆分、组合得到。Further, the shape of the magnet block of the above-mentioned standardized permanent magnet module can also be replaced with other regular shapes, including: parallelogram prism, triangular prism, trapezoidal prism, etc. These shapes can be obtained by splitting and combining regular cuboid shapes.
进一步的,上述标准化永磁体模块的所有磁体块的剩磁强度可以全部相同,但不同位置的磁体块也可以根据需求选择不同的剩磁强度。Further, the remanence strength of all the magnet blocks of the above-mentioned standardized permanent magnet module can be all the same, but the magnet blocks at different positions can also choose different remanence strength according to requirements.
进一步的,所述装置还包括极向场线圈系统,所述极向场线圈系统包括中心螺线管和平衡场线圈;所述中心螺线管设置在所述装置中央;所述平衡场线圈具有一个或多个,设置在所述装置外围。Further, the device also includes a poloidal field coil system, the poloidal field coil system includes a central solenoid and a balance field coil; the center solenoid is arranged in the center of the device; the balance field coil has One or more are arranged on the periphery of the device.
进一步的,上述永磁体仿星器装置可根据需求选择是否使用辅助系统如上述极向场线圈系统用于等离子体的击穿、加热与位型控制。Further, the above-mentioned permanent magnet stellarator device can choose whether to use an auxiliary system such as the above-mentioned poloidal field coil system for plasma breakdown, heating and position control according to requirements.
本发明的有益效果在于:The beneficial effects of the present invention are:
(1)本发明采用了具有矩形极向截面的真空室,极大地简化了现有仿星器复杂的真空室结构,生产加工难度和成本较低。此外规则形状极向截面的真空室非常有利于永磁体布置。(1) The present invention adopts a vacuum chamber with a rectangular polar cross-section, which greatly simplifies the complex vacuum chamber structure of the existing stellarator, and the production and processing difficulty and cost are relatively low. In addition, the vacuum chamber with regular shape and polar cross-section is very beneficial to the arrangement of permanent magnets.
(2)根据该矩形极向截面真空室结构特点,提出了简单的标准化永磁体模块布置方式,该布置方式永磁体块安装的自由度较少,一方面可以显著降低磁体装配精度控制的难度,另一方面也降低了后续装置维护的难度和成本。(2) According to the structural characteristics of the rectangular polar section vacuum chamber, a simple and standardized permanent magnet module arrangement method is proposed. This arrangement method has less degrees of freedom in the installation of permanent magnet blocks. On the one hand, it can significantly reduce the difficulty of magnet assembly accuracy control. On the other hand, it also reduces the difficulty and cost of subsequent device maintenance.
(3)矩形平面线圈的采用极大地简化了现有仿星器复杂的三维扭曲线圈系统。作为仿星器装置最重要的系统之一,线圈系统的简化可以极大地降低仿星器建设难度和成本。(3) The use of rectangular planar coils greatly simplifies the complex three-dimensional twisted coil system of existing stellarators. As one of the most important systems of the stellarator device, the simplification of the coil system can greatly reduce the difficulty and cost of stellarator construction.
(4)矩形极向截面真空室和矩形平面线圈的组合可以在高场侧留出较大的空间用于其他结构的布置,如用于等离子体的击穿、加热与位型控制的极向场线圈系统。(4) The combination of a rectangular poloidal cross-section vacuum chamber and a rectangular planar coil can leave a large space on the high field side for the arrangement of other structures, such as the poloidal direction for plasma breakdown, heating and position type control field coil system.
附图说明Description of drawings
图1为本发明所述一种简化的永磁体仿星器装置:Fig. 1 is a kind of simplified permanent magnet stellarator device of the present invention:
(1)矩形极向截面真空室,(2)标准化永磁体模块,(3)矩形平面线圈,(4)等离子体。此处只展示一半的矩形极向截面真空室(1)、标准化永磁体模块(2)以及矩形平面线圈(3)。(1) Rectangular polar cross section vacuum chamber, (2) Standardized permanent magnet module, (3) Rectangular planar coil, (4) Plasma. Only half of the rectangular poloidal section vacuum chamber (1), standardized permanent magnet modules (2) and rectangular planar coils (3) are shown here.
图2为本发明所述标准化永磁体模块网格划分示意图,图中仅展示环向(0,π/6)内永磁体网格。Fig. 2 is a schematic diagram of grid division of the standardized permanent magnet module according to the present invention, in which only the inner permanent magnet grid in the circumferential direction (0, π/6) is shown.
图3为图2所示环向(0,π/6)内标准化永磁体模块网格划分俯视图。Fig. 3 is a top view of the grid division of the standardized permanent magnet module in the circumferential direction (0, π/6) shown in Fig. 2 .
图4为本发明增加了极向场线圈系统的简化的永磁体仿星器装置:Fig. 4 has increased the simplified permanent magnet stellarator device of poloidal field coil system for the present invention:
(1)矩形极向截面真空室,(2)标准化永磁体模块,(3)矩形平面线圈,(4)等离子体,(5)中心螺线管,(6)平衡场线圈。此处只展示一半的矩形极向截面真空室(1)、标准化永磁体模块(2)以及矩形平面线圈(3)。(1) Rectangular polar cross-section vacuum chamber, (2) Standardized permanent magnet module, (3) Rectangular planar coil, (4) Plasma, (5) Central solenoid, (6) Balanced field coil. Only half of the rectangular poloidal section vacuum chamber (1), standardized permanent magnet modules (2) and rectangular planar coils (3) are shown here.
具体实施方式Detailed ways
下面结合附图和具体实施例进一步说明本发明。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
根据本发明的实施例,如图1所示,提出一种简化的永磁体仿星器装置,包括用于容纳等离子体(4)的矩形极向截面真空室(1),标准化永磁体模块(2)和矩形平面线圈(3);According to an embodiment of the present invention, as shown in Fig. 1, propose a kind of simplified permanent magnet stellarator device, comprise the vacuum chamber (1) that is used to accommodate plasma (4) rectangular polar section, standardized permanent magnet module ( 2) and rectangular planar coil (3);
所述的矩形极向截面真空室(1)为环向对称结构,内侧(高场侧)、外侧(低场侧)形状为曲面,顶部、底部形状为平面;The vacuum chamber (1) with a rectangular polar cross-section is a circumferentially symmetrical structure, the inner side (high field side) and the outer side (low field side) are curved, and the top and bottom are flat;
所述标准化永磁体模块(2)所有磁体块为形状、大小相同的长方体,每一块磁体均沿着垂直于其各自表面的方向均匀磁化且所有磁体块剩磁强度相同;All magnet blocks of the standardized permanent magnet module (2) are cuboids of the same shape and size, and each magnet is uniformly magnetized along a direction perpendicular to its respective surface, and all magnet blocks have the same residual magnetism;
所述标准化永磁体模块(2)安装在所述矩形极向截面真空室(1)外部,由磁体块组成的每一列磁体内部不存在空位且同一列内所有磁体块磁化方向相同;The standardized permanent magnet module (2) is installed outside the vacuum chamber (1) with a rectangular polar cross section, there is no vacancy inside each row of magnets composed of magnet blocks, and the magnetization directions of all magnet blocks in the same row are the same;
所述标准化永磁体模块(2)磁化方向指向或背离所述矩形极向截面真空室(1),其中,在所述矩形极向截面真空室(1)顶部或底部,永磁体磁化方向垂直于顶部或底部平面向上或向下,在所述矩形极向截面真空室(1)内侧或外侧,永磁体在不同的环向位置磁化方向垂直于所述矩形极向截面真空室(1)内侧或外侧曲面对应环向位置的切面向内或向外;The magnetization direction of the standardized permanent magnet module (2) points to or departs from the vacuum chamber (1) with a rectangular polar cross section, wherein, at the top or bottom of the vacuum chamber (1) with a rectangular polar cross section, the magnetization direction of the permanent magnet is perpendicular to The top or bottom plane is upward or downward, and on the inside or outside of the rectangular polar section vacuum chamber (1), the magnetization direction of the permanent magnet is perpendicular to the inside or outside of the rectangular polar section vacuum chamber (1) at different circumferential positions. The tangent of the outer surface corresponding to the circumferential position is inward or outward;
所述矩形平面线圈(3)围绕所述矩形极向截面真空室(1)与标准化永磁体模块(2)竖直安放且沿环向均匀分布,对于每一个矩形平面线圈,其拐角处为半径相同的90°圆弧结构。The rectangular planar coil (3) is placed vertically around the rectangular polar section vacuum chamber (1) and the standardized permanent magnet module (2) and is evenly distributed along the ring direction. For each rectangular planar coil, its corner is radius The same 90° arc structure.
图2和图3给出了图1所述标准化永磁体模块(2)的初始网格划分,图中仅展示环向(0,π/6)内永磁体网格,其中图2为永磁体网格三维视图,图3为图2俯视图。在所述矩形极向截面真空室(1)顶部、底部,永磁体在以装置中心为原点的笛卡尔坐标系中进行网格划分,磁体块长、宽、高对应边平行于笛卡尔坐标系对应X,Y,Z坐标轴;在所述矩形极向截面真空室(1)内侧、外侧,永磁体在上述以装置中心为原点的笛卡尔坐标系对应大柱坐标系中进行网格划分,对于内侧和外侧磁体,首先分别在各自磁体划分区域径向(R)最小半径位置沿纵向(Z)和环向(Φ)均匀划分一层永磁体网格,然后分别以各自对应的第一层永磁体网格为起点沿径向(R)扩展到各自指定的磁体设计区域边界。Figure 2 and Figure 3 show the initial grid division of the standardized permanent magnet module (2) described in Figure 1, in which only the permanent magnet grid in the ring direction (0, π/6) is shown in the figure, where Figure 2 is the permanent magnet The three-dimensional view of the grid, Figure 3 is the top view of Figure 2. On the top and bottom of the vacuum chamber (1) with rectangular polar cross-section, the permanent magnets are divided into grids in the Cartesian coordinate system with the center of the device as the origin, and the corresponding sides of the length, width and height of the magnet block are parallel to the Cartesian coordinate system Corresponding to the X, Y, and Z coordinate axes; on the inside and outside of the vacuum chamber (1) with a rectangular polar section, the permanent magnets are meshed in the Cartesian coordinate system with the center of the device as the origin corresponding to the large column coordinate system, For the inner and outer magnets, first divide a layer of permanent magnet grids uniformly along the longitudinal (Z) and circumferential (Φ) directions at the position of the smallest radius in the radial direction (R) of the respective magnet division areas, and then use the corresponding first layer The permanent magnet grid is extended radially (R) from the starting point to the boundaries of the respective designated magnet design regions.
所述标准化永磁体模块(2)具体布置方案根据已公开的专利CN202011636945.4提出的设计策略发展的设计方法在图2和图3给出的初始磁体网格上进行设计。The specific arrangement scheme of the standardized permanent magnet module (2) is designed on the initial magnet grid shown in Fig. 2 and Fig. 3 according to the design method developed by the design strategy proposed in the published patent CN202011636945.4.
图1所述矩形极向截面真空室(1)可根据设计需求将矩形极向截面替换为五边形,六边形、七边形、八边形等规则形状,且对应位置同样可布置所述磁化方向指向或者背离所述真空室的标准化永磁体模块(2)。上述标准化永磁体模块(2)的磁体块形状也可替换为其他规则形状,包括:平行四边形棱柱、三棱柱、梯形棱柱等可通过规则长方体形状拆分、组合得到的形状。The rectangular polar section vacuum chamber (1) shown in Figure 1 can replace the rectangular polar section with regular shapes such as pentagons, hexagons, heptagons, and octagons according to design requirements, and the corresponding positions can also be arranged. The magnetization direction points to or away from the standardized permanent magnet module (2) of the vacuum chamber. The shape of the magnet block of the above-mentioned standardized permanent magnet module (2) can also be replaced by other regular shapes, including: parallelogram prism, triangular prism, trapezoidal prism and other shapes that can be obtained by splitting and combining regular cuboid shapes.
此外,图1所示简化永磁体仿星器装置可增加极向场线圈系统用于等离子体的击穿、加热与位型控制,如图4所示,所述极向场线圈系统包括中心螺线管(5)和平衡场线圈(6)。所述中心螺线管(5)设置在所述装置中央,所述平衡场线圈(6)设置在所述装置外围,其数量可根据设计需求调整。In addition, the simplified permanent magnet stellarator device shown in Figure 1 can increase the poloidal field coil system for plasma breakdown, heating and position control, as shown in Figure 4, the poloidal field coil system includes a central spiral Conduit (5) and field balance coil (6). The central solenoid (5) is arranged at the center of the device, and the balance field coil (6) is arranged at the periphery of the device, the number of which can be adjusted according to design requirements.
本发明未详细阐述的部分属于本领域公知技术。The parts not described in detail in the present invention belong to the well-known technology in the art.
尽管上面对本发明说明性的具体实施方式进行了描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。Although the illustrative specific embodiments of the present invention have been described above, so that those skilled in the art can understand the present invention, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, As long as various changes are within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.
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