Enhancing the accuracy of rational function-based models using optimization

Bañuelos-Cabral, E.S.; Gutierrez-Robles, José Alberto; Gustavsen, Bjørn; Naredo, J.L.; García-Sánchez, Jorge Luis; Sotelo-Castañón, J.; Galván-Sánchez, V. A.

doi:10.1016/j.epsr.2015.04.001

Cited by 11 publications

(6 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using algebraic manipulation in (2) and 3to remove _ x n from the right side, the state equations and output equation in matrix form are…”

Section: Pole-zero Formmentioning

confidence: 99%

“…For the time domain simulation, implementation of numerical convolutions is possible but is computationally inefficient. The frequency-dependent effects are usually performed in the frequency domain via complex-curve fitting processes, leading to rational function-based models which can be expressed in pole-zero form, pole-residue form, and polynomial form [2]. Once obtained, these models must be converted into a form suitable for representation in an electromagnetic Transient Program (EMTP-type) circuit simulator [3].…”

Section: Introductionmentioning

confidence: 99%

“…In 2005, Noda [13] presented an iterative algorithm that partitions the entire frequency range in order to avoid ill-conditioning of the system when Levy method is used. Recently, in 2015, Bañuelos-Cabral et al [2] propose the implementation of Damped Gauss-Newton (DGN) to increase the accuracy of this technique.…”

Section: Introductionmentioning

confidence: 99%

“…where Y n is given by By using the Numerical inversion of Laplace Transform (NLT) [2,12], the voltage responses on time domain (v 1 , v 2 and v 3 ) are calculated for the cases of open-ended, short-circuited, and perfectly matched lines end. These results are considered as a reference solution.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Rational Fitting Techniques for the Modeling of Electric Power Components and Systems Using MATLAB Environment

Gutierrez-Robles¹,

Cabral²,

Gustavsen³

2017

View full text Add to dashboard Cite

This book provides a detailed description of some of the most widely used rational fitting techniques for approximation of frequency domain responses. The techniques are: Bode's asymptotic approximation, the Levy method, iteratively reweighted least squares, the Sanathanan-Koerner method, the Noda method, Vector Fitting, the Levenberg-Marquardt method, and the Damped Gauss-Newton method. A MATLAB routine for each technique is presented. These techniques are tested by approximating synthetic frequency domain responses. Then, they are applied to the rational approximation of the frequencydependent parameters corresponding to a single-phase transmission line. The effect of the rational function-based models is evaluated, considering transients in three cases: Open-ended, short-circuited, and perfectly matched lines. The error levels obtained in time domain simulations are consistent with the fitting deviations of the frequencydependent parameters. The book concludes by showing main advantages and disadvantages for each technique.

show abstract

“…Using algebraic manipulation in (2) and 3to remove _ x n from the right side, the state equations and output equation in matrix form are…”

Section: Pole-zero Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Rational Fitting Techniques for the Modeling of Electric Power Components and Systems Using MATLAB Environment

Gutierrez-Robles¹,

Cabral²,

Gustavsen³

2017

View full text Add to dashboard Cite

show abstract

“…It often has a large amount of computation and is difficult to converge and get stable solutions. This paper adopts a rational function approximation approach called vector-fitting [6,7] to construct the rational model which have advantages in lower computation, better stability over traditional numerical simulation. Model parameters can be computed through the poles and residues of VF method results.…”

Section: Introductionmentioning

confidence: 99%

Rational Modeling of Narrow Band Antenna by Vector Fitting

Wang¹,

Zhang²,

He³

et al. 2018

dtcse

View full text Add to dashboard Cite

Abstract. This paper proposes a new methodology in rational modeling of narrow band antenna. Through the analysis for the measured Z-parameter of the antenna via vector fitting method (VFM), the rational fraction polynomial can fit the Z-parameter accurately. By comparing the basic models with the polynomial, the rational model of the antenna and parameters can be derived. The model has high accuracy in characterizing the antenna, and plays a guiding role in narrow band antenna design.

show abstract