基于跑道线圈的线圈主导超导四极磁体的磁设计研究
Magnetic design study of coil-dominated superconducting quadrupole magnets based on racetrack coils
摘要：
在加速器超导四极磁体中已经采用了几种线圈结构，其中以cos 2 θ四极磁体的理论研究和工程应用最为成熟。然而，cos 2 θ四极磁体具有复杂的线圈结构，特别是在线圈的末端，这使得它难以应用于应变敏感的高温超导体。跑道型四极磁体对高温超导体是友好的。铁主导的跑道磁体的磁场强度受到铁磁极的磁饱和的限制。因此，具有简单几何结构的线圈主导型跑道型四极磁体成为了我们研究的重点。本文导出了与跑道形四极线圈参数有关的磁场谐波的解析表达式。这些表达式被用来找到解决方案的线圈几何参数与场谐波的顺序为10-4。最后通过实例建立了理想四极子模型，并对理论公式进行了验证。接下来，在ROXIE中完成了示例跑道四极磁体的设计和优化。最后，对跑道线圈和cos 2 θ线圈的优缺点进行了比较和讨论。
英文摘要：
Several coil structures have been used in accelerator superconducting quadrupole magnets, and cos2θ quadrupole magnets are the most mature in theoretical research and engineering applications. However, the cos2θ quadrupole magnet has a complicated coil structure, especially at the end of the coil, which makes it difficult to apply strain-sensitive high-temperature superconductors. Racetrack quadrupole magnets are friendly to high-temperature superconductors. Field strength of iron-dominated racetrack magnets is limited by the magnetic saturation of the iron poles. Therefore, coil-dominated racetrack quadrupole magnets with simple geometry have become the focus of our research. In this paper, analytical expressions of the magnetic field harmonics related to racetrack quadrupole coil parameters are obtained. These expressions are used to find the solution of coil geometry parameters with field harmonics on the order of 10-4. Then, examples are given to build ideal quadrupole model and verify the theoretical formulas. Next, the design and optimization of example racetrack quadrupole magnets are completed in ROXIE. Finally, the advantages and disadvantages of the racetrack coils and the cos2θ coils are compared and discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
