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Passivity assessment and enforcement utilizing eigenpairs information

机译：利用特征系列信息的被动评估和执法

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Rational models can be a cause of unstable time domain simulations if they are non-passive. One commonly applied method for ensuring model passivity is to combine a passivity assessment step with a passivity enforcement step in an iterative loop where the model's residue matrices are updated in each pass. This paper shows a new variant of such scheme that is computationally more efficient than an existing one. The advantage is achieved by transferring eigenpairs information between the two steps, rather than frequency samples where passivity violations exist. This leads to fewer inactive constraints in the constrained least squares problem associated with the passivity enforcement step, and thereby faster solving. The new approach is combined with the residue perturbation method known as RP-NNLS for maximum performance. The resulting procedure is demonstrated for the modeling of components with many terminals, a white-box transformer impedance matrix, grounding mat admittance matrix, and a black-box transformer model obtained via frequency sweep measurements.
机译：如果它们是非被动的，则Rational Models可以是不稳定的时域模拟的原因。用于确保模型被动性的一个常用方法是将相与性评估步骤与在迭代循环中的被动执行步骤组合，其中模型的残差矩阵在每次通过中更新。本文示出了这种方案的新变种，该方案比现有的效率更有效。通过在两个步骤之间传递特征向信息来实现的优点，而不是存在被侵入违规的频率样本。这导致与被动执行步骤相关联的约束最小二乘问题的非活动约束，从而更快地解决。新方法与已知为RP-NNL的残留扰动方法相结合，以最大性能。得到了所得程序，用于使用许多终端的组件，白色箱变压器阻抗矩阵，接地垫进入矩阵和通过频率扫描测量获得的黑盒变压器模型进行建模。

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