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Enhancing the accuracy of rational function-based models using optimization

机译:通过优化提高基于有理函数的模型的准确性

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Rational function approximations are widely used for the modelling of frequency-dependent effects in power system components. This paper proposes to use optimization by the damped Gauss-Newton method to improve the accuracy of rational approximations calculated by three mainstream fitting techniques: Bode's asymptotic approximation, Sanathanan-Koerner iteration, and vector fitting. The optimization method is described in detail along with an outline of the numerical implementation. The proposed methodology is demonstrated for a synthetic example for the modelling of a measured reactor frequency response and for the rational fitting of the frequency-dependent parameters corresponding to a single-phase transmission line. In this example, we also present the impact of the optimization enhancement on the final time domain responses. (C) 2015 Elsevier B.V. All rights reserved.
机译:有理函数逼近被广泛用于电力系统组件中频率相关效应的建模。本文提出使用阻尼高斯-牛顿法进行优化,以提高通过三种主流拟合技术计算的有理逼近度的准确性:Bode渐近逼近,Sanathanan-Koerner迭代和矢量拟合。将详细介绍优化方法以及数值实现的概述。所提出的方法论是用于合成示例的,该模型用于对测得的反应堆频率响应进行建模以及对与单相传输线相对应的频率相关参数进行合理拟合。在此示例中,我们还介绍了优化增强对最终时域响应的影响。 (C)2015 Elsevier B.V.保留所有权利。

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