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：简化磁矢势公式（RMVPs）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。该方法已成功应用于欧洲核子研究中心（CERN）的大型强子对撞机超导磁体模拟软件ROXIE中。本文提出了一种显著优于原始方法的改进型RMVP方案，阐述了新公式的构建、实现及验证过程，并将其与原始公式进行对比，最终应用于四极磁体的仿真。本文的积极成果为进一步探索面向下一代加速器磁体的新型仿真框架提供了有力依据。