In the conventional partial element equivalent circuit (PEEC) method, all partial inductances are connected at both ends to other circuit elements of a PEEC or modified nodal approach (MNA), simulation program with integrated circuit emphasis (SPICE) type circuit. This article shows that if at least one end of a partial inductance remains without a connected element, it is called an open loop, which is also physical and is theoretically closed by displacement current. It is shown in this article that the open loop is only consistent if the partial inductance is evaluated using the Coulomb gauge; else, the magnetic energy computation of open loop is inconsistent. This article focuses on the difference and presents an analytical method for the calculation of partial inductance with Coulomb gauge in quasi-static field to figure it out. This difference is proven to be related to the calculation of vector potential A , whereas existing calculation is based on Lorentz gauge. Then, analytical results of conductor segments are derived for comparison of the two different gauges, and show the difference. Also, numerical experiments of the self- and mutual-partial inductances of conductor segments in open-loop problems are given for further comparison. The results illustrate that the proposed method is consistent with magnetic energy, and could be directly be applied to closed-loop problems without affecting the validity of the PEEC method. This method is believed to be an effective supplement in physical sense of partial inductance.

中文翻译：

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开环和闭环的准静态局部电感

在传统的部分元件等效电路(PEEC)方法中，所有部分电感在两端连接到PEEC或修改节点方法(MNA)、集成电路强调(SPICE)型电路的仿真程序的其他电路元件。这篇文章表明，如果一个部分电感的至少一端保持没有连接元件，则称为开环，这也是物理上的，理论上是由位移电流关闭的。本文表明，仅当使用库仑计评估局部电感时，开环才一致；否则，开环磁能计算不一致。本文主要针对两者的区别，提出一种准静态场库仑规计算局部电感的解析方法，以求解决。A ，而现有计算基于洛伦兹规范。然后，导出导体段的分析结果以比较两种不同的规格，并显示差异。此外，还给出了开环问题中导体段的自偏电感和互偏电感的数值实验，以供进一步比较。结果表明，所提出的方法与磁能一致，可以直接应用于闭环问题而不影响PEEC方法的有效性。这种方法被认为是物理意义上的部分电感的有效补充。