This article presents a novel formulation in hybrid analytic modeling (HAM) for solving 2-D nonlinear magnetic problems. This novel formulation, referred to as the loop formulation, solves the magnetic equivalent circuit (MEC) through Kirchhoff's voltage law, as opposed to the traditional node formulation, which uses Kirchhoff's current law. This allows one to solve the system iteratively using the Newton-Raphson method instead of the fixed-point method, providing a convergence rate up to four times faster. The novel HAM formulation also provides an excellent tradeoff between accuracy and computational time. It offers approximately one order of magnitude lower computation time for the same accuracy compared to finite-element analysis (FEA) on a slotless geometry.

中文翻译：

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用于解决二维非线性静磁问题的混合分析建模中的循环公式


本文提出了一种用于解决二维非线性磁问题的混合分析建模 (HAM) 的新颖公式。这种新颖的公式称为环路公式，它通过基尔霍夫电压定律求解磁等效电路 (MEC)，而不是使用基尔霍夫电流定律的传统节点公式。这使得人们可以使用牛顿-拉夫森方法而不是定点方法迭代地求解系统，从而提供高达四倍的收敛速度。新颖的 HAM 公式还提供了准确性和计算时间之间的良好折衷。与无槽几何结构上的有限元分析 (FEA) 相比，在相同精度下，它的计算时间缩短了大约一个数量级。