Iterative matrix fitting approach of frequency dependent matrices based on vector fitting (Withdrawn Publication. See vol. 243, 2025)

被引:1
作者
Banuelos-Cabral, E. S. [1 ]
Gutierrez-Robles, J. A. [1 ]
Nuno-Ayon, J. J. [1 ]
Vega-Grijalva, M. G. [2 ]
Naredo, J. L. [3 ]
Sotelo-Castanon, J. [1 ]
机构
[1] Univ Guadalajara, Guadalajara, Mexico
[2] Intel Corp, Guadalajara, Mexico
[3] Cinvestav Guadalajara, Guadalajara, Mexico
关键词
Frequency-dependent matrices; Multi-block data analysis; PCB transmission-line modeling; Rational approximation; Universal line model; Vector Fitting; RATIONAL APPROXIMATION; IDENTIFICATION; MODEL;
D O I
10.1016/j.epsr.2025.111499
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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.
引用
收藏
页数:8
相关论文
共 14 条
[1]   Simulation of high-speed interconnects [J].
Achar, R ;
Nakhla, MS .
PROCEEDINGS OF THE IEEE, 2001, 89 (05) :693-728
[2]  
Ba nuelos-Cabral E.S., 2019, Electric Power Syst. Res.176
[3]   Computational efficiency improvement of the Universal Line Model by use of rational approximations with real poles [J].
Banuelos-Cabral, E. S. ;
Gustavsen, B. ;
Gutierrez-Robles, J. A. ;
Hoidalen, H. K. ;
Naredo, J. L. .
ELECTRIC POWER SYSTEMS RESEARCH, 2016, 140 :424-434
[4]  
Grivet-Talocia B. Gustavsen, 2015, Passive Macromodeling. Theory and Applications
[5]   Rational approximation of frequency domain responses by vector fitting [J].
Gustavsen, B ;
Semlyen, A .
IEEE TRANSACTIONS ON POWER DELIVERY, 1999, 14 (03) :1052-1061
[6]   A robust approach for system identification in the frequency domain [J].
Gustavsen, B ;
Semlyen, A .
IEEE TRANSACTIONS ON POWER DELIVERY, 2004, 19 (03) :1167-1173
[7]   Computer code for rational approximation of frequency dependent admittance matrices [J].
Gustavsen, B .
IEEE TRANSACTIONS ON POWER DELIVERY, 2002, 17 (04) :1093-1098
[8]   Pole identification for the universal line model based on trace fitting [J].
Gustavsen, Bjorn ;
Nordstrom, John .
IEEE TRANSACTIONS ON POWER DELIVERY, 2008, 23 (01) :472-479
[9]   An Observability-based Approach to Extract Spatiotemporal Patterns from Power System Koopman Mode Analysis [J].
Hernandez Ortega, Marcos Alfredo ;
Roman Messina, Arturo .
ELECTRIC POWER COMPONENTS AND SYSTEMS, 2017, 45 (04) :355-365
[10]  
Lathi References1C.P., 2005, Linear Systems and Signals, V2nd