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Digital Wave Simulation of Quasi-Static Partial Element Equivalent Circuit Method

机译:准静态部分元等效电路方法的数字波仿真

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摘要

The partial element equivalent circuit (PEEC) method is a well-established technique for obtaining a circuit equivalent for an electromagnetic problem. The time domain solution of such models is usually performed using nodal voltages and branch currents, or sometimes charge and currents. The present paper describes a possible alternative approach, which can be obtained expressing and solving the problem in the waves domain. The digital wave theory is used to find an equivalent representation of the PEEC circuit in the wave domain. Through a pertinent continuous to discrete time transformation, the constitutive relations for partial inductances, capacitances, and resistances are translated in an explicit form. The combination of such equations with Kirchhoff laws allows to achieve a semiexplicit resolution scheme. Three different physical configurations are analyzed and their extracted digital wave PEEC models are simulated at growing sizes using the general-purpose digital wave simulator. The results are compared to those obtained by using standard SPICE simulators in both linear and nonlinear cases. When the size of the model is manageable by SPICE, an excellent accuracy and a speed-up factor of up to three orders of magnitude are observed with much lower memory requirements. A comparative analysis of results including the effect of parameters like the simulation time step choice is also presented.
机译:部分元件等效电路(PEEC)方法是一种成熟的技术,用于获得电磁问题的等效电路。这种模型的时域解决方案通常使用节点电压和支路电流,有时甚至使用电荷和电流来执行。本文介绍了一种可能的替代方法,该方法可以在波域中表达和解决问题。数字波理论用于在波域中找到PEEC电路的等效表示。通过相关的连续到离散的时间转换,部分电感,电容和电阻的本构关系以显式形式转换。此类方程式与基尔霍夫定律的组合可实现半显式分辨率方案。分析了三种不同的物理配置,并使用通用数字波模拟器以不断增长的大小模拟了它们提取的数字波PEEC模型。将结果与在线性和非线性情况下使用标准SPICE仿真器获得的结果进行比较。当模型的大小可以通过SPICE管理时,可以观察到出色的精度和高达三个数量级的加速因子,而内存需求却低得多。还提供了结果比较分析,包括模拟时间步长选择等参数的影响。

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