Admittance-Based Modeling of Transmission Lines by a Folded Line Equivalent
Admittance-Based Modeling of Transmission Lines by a Folded Line Equivalent
复制标题
基于导纳的基于折线等效的传输线建模
DOI：
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复制
发表时间：
2009
影响因子：
4.4
通讯作者：
A. Semlyen
中科院分区：
文献类型：
--
作者：
B. Gustavsen;A. Semlyen
本文提出了一种新的输电在线模型，用于非转置架空线和地下电缆的频率相关建模。将节点导纳矩阵分解为两个块，分别表示通过在中间进行ldquo得到的半长线的开路和短路情况。通过对这些矩阵进行逆量级加权的合理拟合，得到了一个模型，其中相关节点导纳矩阵的特征值能够以较高的相对精度有效地拟合。这克服了直接拟合节点导纳矩阵时出现的误差放大问题。此外，建模过程（拟合和被动执行）变得更快。我们表明，当选择的时间步长小于行走时，这种折叠线等效（FLE）特别适合作为相域行波型模型的伴随形式。在这种情况下，所需的模型阶数较低，因此FLE可以提供高效的时域模拟。
This paper describes a new transmission-line model for frequency-dependent modeling of untransposed overhead lines and underground cables. The nodal admittance matrix is decomposed into two blocks that, respectively, represent the open- and short-circuit conditions of a half-length line obtained by ldquofoldingrdquo about the middle. By subjecting these matrices to rational fitting with inverse magnitude weighting, one obtains a model where the eigenvalues of the associated nodal admittance matrix are effectively fitted with high relative accuracy. This is shown to overcome the error magnification problem that occurs with direct fitting of the nodal admittance matrix. In addition, the modeling process (fitting and passivity enforcement) becomes faster. We show that this folded line equivalent (FLE) is particularly suitable as a companion form for phase-domain traveling-wave-type models, to be used when the time step is selected shorter than the line travel time. In this situation, the required model order is low and so the FLE gives highly efficient time-domain simulations.