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Loewner matrix approach for modelling FDNEs of power systems

机译:Loewner矩阵法用于电力系统FDNE建模

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This paper proposes a new approach for modelling frequency dependent power system network equivalents (FDNE) using tangential interpolation framework based on Loewner matrix (LM) pencil. The Loewner matrix based tangential interpolation technique has been recently proposed for modelling of large multi-port VLSI circuits. The LM approach fits accurate state space descriptor system models from the frequency response measurements. Singular value decomposition based LM approach has been investigated in this paper for modelling of FDNEs. The proposed method's performance is compared to the widely used vector fitting approach using four power system examples. A simple matrix implementation for LM formation and a MATLAB based stable model extraction approach is proposed. It has been shown that the data splitting step of the LM approach has significant impact on the accuracy of the fitting. The LM method is shown to be comparable to vector fitting in terms of accuracy, stability and passivity. It does not require any starting poles and has no convergence issues because it is a non-iterative method. It also gives an indication of the system order which is a unique advantage. (C) 2015 Elsevier B.V. All rights reserved.
机译:本文提出了一种基于Loewner矩阵(LM)铅笔的切向插值框架对频率相关的电力系统网络等效(FDNE)建模的新方法。最近提出了基于Loewner矩阵的切向插值技术,用于大型多端口VLSI电路的建模。 LM方法根据频率响应测量结果拟合精确的状态空间描述符系统模型。本文研究了基于奇异值分解的LM方法对FDNE进行建模。使用四个电源系统示例,将所提出的方法的性能与广泛使用的矢量拟合方法进行了比较。提出了一种简单的矩阵形成矩阵实现方法和基于MATLAB的稳定模型提取方法。已经表明,LM方法的数据拆分步骤对拟合的准确性有重大影响。 LM方法在准确性,稳定性和无源性方面都可与矢量拟合相媲美。它不需要任何起点,也没有收敛问题,因为它是一种非迭代方法。它还可以指示系统顺序,这是一个独特的优势。 (C)2015 Elsevier B.V.保留所有权利。

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