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Enhancing the accuracy of rational function-based models using optimization
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DOI：10.1016/j.epsr.2015.04.001.png)
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摘要
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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.
Keyword:
Least squares
Weighted least squares
Bode's asymptotic approximation
Damped Gauss-Newton
Sanathanan-Koerner
Vector fitting
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期刊
IF:
4.2
论文数:
1.2W
被引数:
2.2W
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