An approximation approach is proposed for the analysis of nonlinear quasi-static eddy currents adopting a Cauer ladder network (CLN). When there are nonlinear magnetic materials in the analysis domain, the electric and magnetic modes and their corresponding values for resistors and inductors in the CLN may vary according to the level of saturation in the core. Considering the effects of the modes and their magnitudes on the saturation imposes a heavy computational burden, which brings the efficiency of the CLN method into question. This article studies a first-order approximation of the nonlinear CLN method to keep the nonlinearization procedure computationally effective, simple, and accurate. Numerical tests are carried out for a 2-D nonlinear inductor excited with rectangular and sinusoidal excitations to show the accuracy of the proposed nonlinear resolution method.

中文翻译：

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非线性涡流场的 Cauer 梯形网络表示，使用一阶近似

提出了一种采用考尔阶梯网络 (CLN) 分析非线性准静态涡流的近似方法。当分析域中存在非线性磁性材料时，CLN 中电阻器和电感器的电和磁模式及其对应值可能会根据磁芯中的饱和程度而变化。考虑模式及其大小对饱和度的影响会带来沉重的计算负担，这使 CLN 方法的效率受到质疑。本文研究了非线性 CLN 方法的一阶近似，以保持非线性化过程在计算上有效、简单和准确。