The major advantage of reduced magnetic vector potential formulations (RMVPs) is that complicated coil structures do not need to be resolved by a computational mesh. Instead, they are modeled by thin wires, whose source field is included into the simulation model along Biot-Savart's law. Such an approach has already been successfully employed in ROXIE for the simulation of superconducting Large Hadron Collider magnets at CERN. This work presents an updated RMVP approach, which significantly outperforms the original method. The updated formulation is postulated, implemented, verified, compared to the original formulation, and applied for the simulation of a quadrupole magnet. The promising results of this work encourage further investigation towards an updated simulation framework for next-generation accelerator magnets.

翻译：简化磁矢量势公式的主要优势在于，复杂的线圈结构无需通过计算网格进行解析，而是由细导线建模，其源场通过毕奥-萨伐尔定律纳入仿真模型。该方法已在欧洲核子研究中心的大型强子对撞机超导磁体仿真软件ROXIE中成功应用。本文提出了一种改进的简化磁矢量势方法，其性能显著优于原始方法。推导、实现并验证了改进的公式，将其与原始公式进行比较，并应用于四极磁体的仿真。本研究的积极结果鼓励进一步探索面向下一代加速器磁体的改进仿真框架。