Iterative matrix fitting approach of frequency dependent matrices based on vector fitting

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Electric Power Systems Research Pub Date : 2025-02-13 DOI:10.1016/j.epsr.2025.111499

E.S. Bañuelos-Cabral , J.A. Gutiérrez-Robles , J.J. Nuño-Ayón , M.G. Vega-Grijalva , J.L. Naredo , J. Sotelo-Castañón

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引用次数: 0

Abstract

Rational fitting techniques are the basis for modeling the physical behaviors of systems with respect to their input and output characteristics. Due to its robustness and accuracy, Vector Fitting (VF) has been widely used to obtain rational models from tabulated frequency domain responses. Three types of systems could be approximated: 1) A scalar function or scalar fitting (SF) case, 2) A column vector function or column fitting (CF) case, and 3) A matrix function or matrix fitting (MF) case. A common set of poles is desired for physical and implementation reasons. This is a fact in the SF case, and the mathematical formulation of VF allows obtaining a rational function-based model with a common set of poles in the CF case. However, as this is not possible in the MF case, a methodology based on the VF iteration is proposed, which ensures a common set of poles. The advantages are demonstrated in three test cases: 1) Multi-phase transmission-line modeling using the Universal Line Model (ULM), 2) Multi-block data analysis, and 3) Printed Circuit Board (PCB) transmission-line characterization.

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来源期刊

Electric Power Systems Research 工程技术-工程：电子与电气

CiteScore

7.50

自引率

17.90%

发文量

963

审稿时长

3.8 months

期刊介绍： Electric Power Systems Research is an international medium for the publication of original papers concerned with the generation, transmission, distribution and utilization of electrical energy. The journal aims at presenting important results of work in this field, whether in the form of applied research, development of new procedures or components, orginal application of existing knowledge or new designapproaches. The scope of Electric Power Systems Research is broad, encompassing all aspects of electric power systems. The following list of topics is not intended to be exhaustive, but rather to indicate topics that fall within the journal purview. • Generation techniques ranging from advances in conventional electromechanical methods, through nuclear power generation, to renewable energy generation. • Transmission, spanning the broad area from UHV (ac and dc) to network operation and protection, line routing and design. • Substation work: equipment design, protection and control systems. • Distribution techniques, equipment development, and smart grids. • The utilization area from energy efficiency to distributed load levelling techniques. • Systems studies including control techniques, planning, optimization methods, stability, security assessment and insulation coordination.