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Stable Partial Inductance Calculation for Partial Element Equivalent Circuit Modeling

机译:局部元件等效电路建模的稳定局部电感计算

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摘要

Accurate and stable analytical solutions for partial element calculation in partial element equivalent circuit (PEEC) modeling are desirable due to fast and simple usage. Conventional analytical formulae based on integral Neumann formula may give miscalculations when we compute the partial inductance of three-dimensional structures with large spacing. In this paper, a novel model-order reduction (MOR) method is presented for mutual inductance calculation in order to improve its accuracy and stability. Mutual inductances of higher order models are represented by relatively lower order models. The criteria for MOR are revealed and a code implementation routine is described. The numerical accuracy, stability and calculation cost are investigated comparing with conventional procedures. Numerical experiments show that the MOR method can guarantee numerical stability and reduce calculation complexity simultaneously, and it has advantages to be implemented in PEEC modeling for large complex electronic systems.
机译:由于使用快捷,简单,因此需要在部分元件等效电路(PEEC)建模中提供准确,稳定的分析解决方案来进行部分元件计算。当我们计算具有大间距的三维结构的部分电感时,基于积分诺伊曼公式的常规分析公式可能会产生错误的计算。本文提出了一种新型的模型降阶(MOR)方法用于互感计算,以提高其精度和稳定性。高阶模型的互感由相对低阶的模型表示。揭示了MOR的标准,并描述了代码实现例程。与常规程序比较,研究了数值精度,稳定性和计算成本。数值实验表明,MOR方法可以保证数值稳定性,同时降低了计算复杂度,具有在大型复杂电子系统的PEEC建模中实现的优势。

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