Enhancements in vector fitting implementation by using stopping criterion, frequency partitioning and model order reduction

•New stopping criterion for the Vector Fitting (VF) method.•Efficient approaches for frequency partitioning and model order reduction for VF.•Rational model error control as a function of its order.•Efficiency verification of the proposed enhancements using a large-scale system.•Easy implementation...

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Bibliographic Details
Published in:International journal of electrical power & energy systems 2020-09, Vol.120, p.105905, Article 105905
Main Authors: Campello, Thomas Moreira, Varricchio, Sergio Luis, Taranto, Glauco Nery, Ramirez, Abner
Format: Article
Language:English
Subjects:
Frequency partitioning
Model order reduction
Rational models
Stopping criterion
Vector Fitting
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Summary:•New stopping criterion for the Vector Fitting (VF) method.•Efficient approaches for frequency partitioning and model order reduction for VF.•Rational model error control as a function of its order.•Efficiency verification of the proposed enhancements using a large-scale system.•Easy implementation of the proposed enhancements in different VF based methods. The Vector Fitting (VF) technique has become a mature rational approximation tool. This paper proposes two enhancements that increase the VF computational efficiency, resulting in reduced CPU time while maintaining a desired precision of the approximation. The first enhancement consists of a stopping criterion to automatically interrupt the VF iterative process when the fitting error does not vary significantly. The second one is based on frequency partition and order reduction of the rational model. The computational gain by the proposed enhancements is verified via fitting of a multi-input multi-output test system of considerable complexity that includes transmission lines modelled as distributed-parameter lines.
ISSN:0142-0615
1879-3517
DOI:10.1016/j.ijepes.2020.105905