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Quasi-Static Partial Element Equivalent Circuit Models of Linear Magnetic Materials

机译:线性磁性材料的准静态部分元素等效电路模型

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摘要

This paper presents a 3-D partial element equivalent circuit (PEEC) model of linear magnetic materials under the quasi-static hypothesis. Rigorous analytical formulas are proposed for integrals accounting for flux density due to both current and magnetization densities for Manhattan-type discretizations. Such closed-form formulas remove the singularities exhibited by existing formulas and completely avoid numerical integration. The resulting model preserves the circuit interpretation of standard PEEC models and, thus, can be easily integrated in a SPICE-like circuit solver. Numerical results are presented showing that the proposed closed formulas outperform the numerical schemes and guarantee an excellent agreement with existing results available in the literature.
机译:本文提出了在准静态假设下线性磁性材料的3-D部分元件等效电路(PEEC)模型。针对曼哈顿型离散化,针对电流和磁化密度产生的磁通密度,提出了用于积分的严格解析公式。这种封闭形式的公式消除了现有公式所显示的奇异性,并完全避免了数值积分。生成的模型保留了标准PEEC模型的电路解释,因此可以轻松地集成到类似SPICE的电路求解器中。数值结果表明,拟议的封闭公式优于数值方案,并保证与文献中已有的结果极好的一致性。

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