Vector Fitting vs. Levenberg-Marquardt : Some experiments

Author(s):  
Luc Knockaert ◽  
Francesco Ferranti ◽  
Tom Dhaene
Agrometeoros ◽  
2020 ◽  
Vol 27 (1) ◽  
Author(s):  
Joana Madeira Krieger ◽  
Isabella Siqueira Vieira ◽  
Wellerson De Oliveira Alves da Silva ◽  
José Leonaldo Souza ◽  
Guilherme Bastos Lyra ◽  
...  
Keyword(s):  

 Devido à dificuldade de medidas contínuas e de qualidades das componentes do balanço de radiação, existe a necessidade de desenvolver modelos para estimá-las. Este trabalho ajustou os coeficientes dos métodos de Hargreaves-Samani (HaS) e Bristow-Campbell (BrC) para estimava da radiação solar global (Rs), assim como o albedo (α) e os coeficientes de um modelo de balanço de ondas longas (Rnl) em cultivo de cana-de açúcar na região de Rio Largo/AL. Medições das componentes do balanço (Rn) de radiação foram realizadas no período de 03 a 27/06/2006 por um saldo radiômetro. Os coeficientes foram ajustados por meio de técnicas de problemas inversos (Levenberg-Marquardt). Após o ajuste, os modelos de balanço de ondas curtas (Rns), Rnl e Rn obtidos em função de Rs estimado por HaS e BrC foram comparados com observações dessas componentes. O método de BrC ajustado (β0 = 0,478, β1 = 0,016 e β2 = 2,78) teve maior precisão e exatidão que o método de HaS (kt = 0,172). Os métodos de Rs ajustados quando usados na estimava de Rns, Rnl e Rn tiveram estimativas acuradas. Os erros dos modelos quando usados Rs estimados por HaS e BrC foram em sua maioria, repasse dos erros obtidos na estimativa de Rs. Entretanto, os erros dos modelos, principalmente do Rnl, têm baixo impacto no Rn.


2020 ◽  
Vol 71 (6) ◽  
pp. 66-74
Author(s):  
Younis M. Younis ◽  
Salman H. Abbas ◽  
Farqad T. Najim ◽  
Firas Hashim Kamar ◽  
Gheorghe Nechifor

A comparison between artificial neural network (ANN) and multiple linear regression (MLR) models was employed to predict the heat of combustion, and the gross and net heat values, of a diesel fuel engine, based on the chemical composition of the diesel fuel. One hundred and fifty samples of Iraqi diesel provided data from chromatographic analysis. Eight parameters were applied as inputs in order to predict the gross and net heat combustion of the diesel fuel. A trial-and-error method was used to determine the shape of the individual ANN. The results showed that the prediction accuracy of the ANN model was greater than that of the MLR model in predicting the gross heat value. The best neural network for predicting the gross heating value was a back-propagation network (8-8-1), using the Levenberg�Marquardt algorithm for the second step of network training. R = 0.98502 for the test data. In the same way, the best neural network for predicting the net heating value was a back-propagation network (8-5-1), using the Levenberg�Marquardt algorithm for the second step of network training. R = 0.95112 for the test data.


Energies ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2471
Author(s):  
Tommaso Bradde ◽  
Samuel Chevalier ◽  
Marco De Stefano ◽  
Stefano Grivet-Talocia ◽  
Luca Daniel

This paper develops a predictive modeling algorithm, denoted as Real-Time Vector Fitting (RTVF), which is capable of approximating the real-time linearized dynamics of multi-input multi-output (MIMO) dynamical systems via rational transfer function matrices. Based on a generalization of the well-known Time-Domain Vector Fitting (TDVF) algorithm, RTVF is suitable for online modeling of dynamical systems which experience both initial-state decay contributions in the measured output signals and concurrently active input signals. These adaptations were specifically contrived to meet the needs currently present in the electrical power systems community, where real-time modeling of low frequency power system dynamics is becoming an increasingly coveted tool by power system operators. After introducing and validating the RTVF scheme on synthetic test cases, this paper presents a series of numerical tests on high-order closed-loop generator systems in the IEEE 39-bus test system.


Rocks collected in the vicinity of a transcurrent fault cutting the crest of the Ridge have been affected by brecciation and, in some cases, metamorphism and hydrothermal action. These processes have led to the formation of spilites from crystalline basalts, and ultramafic rocks from basalt glasses Further hydrothermal action has taken the form of replacement of some ultramafic rocks by quartz, ending in a nearly pure quartzite. The mineralogy is characteristic of greenschist facies meta-morphism. Fresh basalts were collected from a nearby hill, which seems to be a recent volcano post-dating the faulting and metamorphism. The magnetic survey reveals a marked parallelism between the anomalies and the trend of the ridge, regardless of bathymetry. Computations confirm that uniform magnetization of the material represented by the bathymetry can in no way simulate the observed anomalies. Application of the vector fitting technique suggests that the remanent magnetization of this material is often reversed and from this a very crude and simple model is developed to account for the observed anomalies. The model is consistent with an ocean floor spreading hypothesis and periodic reversals in the earth's magnetic field. If substantiated it would have important implications in deducing the history of the ocean basins. Above all it provides a plausible explanation to account for the magnetic gradients and amplitudes observed over ridges without implying improbable magnetic contrasts, structures, or changes in petrology.


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