Canted cosine theta (CCT) magnets have received increased attention in the recent years due to their inherent characteristics of high field quality and low conductor stresses, as each turn is supported by the metallic former. CCT geometry is suitable for complex magnets—such as nested dipoles, which allow full 360 control of the magnetic field direction. Modeling and design of such magnets is the subject of this work. A parametric 3D modeling framework for multilayer CCT magnets has been developed and optimized allowing efficient model generation without a need for both: CAD software and time consuming meshing. The model has been created using the APDL scripting language and solved using the Ansys software. By direct generation of nodes and elements the time to generate a model with one million elements was of the order of 10 min. A framework for script generation was developed, as well as the relations between the mesh parameters and the total number of nodes and elements. Detailed mesh dependence study was carried-out with in-depth analysis of solver performance (solution time, amount of written data, RAM requirements). Global and local convergence criteria were introduced to find the optimal mesh size. The case of a four layer 2.5 Tm nested dipole was analyzed in details including the worst-case scenario with full debonding between the CCT layers. Thanks to the castellations the nested-dipole is safe to support 144 000 Nm of torque due to Lorentz forces even with full de-bonding between the layers.

近年来，斜余弦θ (CCT) 磁铁因其高场质量和低导体应力的固有特性而受到越来越多的关注，因为每匝都由金属线圈支撑。CCT 几何形状适用于复杂的磁体，例如嵌套偶极子，它允许对磁场方向进行 360 度全方位控制。这种磁铁的建模和设计是这项工作的主题。用于多层 CCT 磁体的参数化 3D 建模框架已经开发和优化，允许高效的模型生成，而无需两者：CAD 软件和耗时的网格划分。该模型是使用 APDL 脚本语言创建的，并使用 Ansys 软件求解。通过直接生成节点和元素，生成具有一百万个元素的模型的时间约为 10 分钟。开发了脚本生成框架，以及网格参数与节点和元素总数之间的关系。通过对求解器性能（求解时间、写入数据量、RAM 要求）的深入分析，进行了详细的网格相关性研究。引入了全局和局部收敛标准来寻找最佳网格尺寸。详细分析了四层 2.5 Tm 嵌套偶极子的情况，包括 CCT 层之间完全剥离的最坏情况。由于采用了城堡形结构，即使在层间完全脱粘的情况下，嵌套偶极子也可以安全地支持 144 000 Nm 的扭矩（由于洛伦兹力）。通过对求解器性能（求解时间、写入数据量、RAM 要求）的深入分析，进行了详细的网格相关性研究。引入了全局和局部收敛标准来寻找最佳网格尺寸。详细分析了四层 2.5 Tm 嵌套偶极子的情况，包括 CCT 层之间完全剥离的最坏情况。由于采用了城堡形结构，即使在层间完全脱粘的情况下，嵌套偶极子也可以安全地支持 144 000 Nm 的扭矩（由于洛伦兹力）。通过对求解器性能（求解时间、写入数据量、RAM 要求）的深入分析，进行了详细的网格相关性研究。引入了全局和局部收敛标准来寻找最佳网格尺寸。详细分析了四层 2.5 Tm 嵌套偶极子的情况，包括 CCT 层之间完全剥离的最坏情况。由于采用了城堡形结构，即使在层间完全脱粘的情况下，嵌套偶极子也可以安全地支持 144 000 Nm 的扭矩（由于洛伦兹力）。详细分析了 5 Tm 嵌套偶极子，包括 CCT 层之间完全剥离的最坏情况。由于采用了城堡形结构，即使在层间完全脱粘的情况下，嵌套偶极子也可以安全地支持 144 000 Nm 的扭矩（由于洛伦兹力）。详细分析了 5 Tm 嵌套偶极子，包括 CCT 层之间完全剥离的最坏情况。由于采用了城堡形结构，即使在层间完全脱粘的情况下，嵌套偶极子也可以安全地支持 144 000 Nm 的扭矩（由于洛伦兹力）。