Fractional Order Modeling of Large Three-Dimensional RC Networks

Galvão, Roberto Kawakami Harrop; Hadjiloucas, Sillas; Kienitz, Karl Heinz; Paiva, Henrique Mohallem; Afonso, Rubens Junqueira Magalhães

doi:10.1109/tcsi.2012.2209733

Cited by 84 publications

(56 citation statements)

References 67 publications

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“…Values not equal to 1 indicate deviation from Debye behavior [32,33]. Values for the hopping frequency constant, the frequency exponent parameter along with the Chi squared measure of the goodness of the fit are shown in Table 4 for frequency ranges from 1 Hz to 100 kHz and 1 Hz to 31 kHz.…”

Section: Power Law Fitmentioning

confidence: 99%

Impedance spectroscopy study of conducting polymer blends of PEDOT:PSS and PVA

et al. 2015

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Section: Power Law Fitmentioning

confidence: 99%

Impedance spectroscopy study of conducting polymer blends of PEDOT:PSS and PVA

et al. 2015

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“…10 shows the simulated frequency responses of the identified fractional and integer order models (43) and (44) in comparison with the experimental frequency response.…”

Section: Resultsmentioning

confidence: 99%

“…Fractional order models have been used in modelling different physical systems; such as modelling of lead-acid battery [40], human arm [41], dynamic backlash [42], thermal system [43], and large three-dimensional RC networks [44]. One significant motivation for applying fractional order models is that these models can well approximate the dynamics of high order classical models [45].…”

Section: Introductionmentioning

confidence: 99%

Analytical design of fractional order PID controllers based on the fractional set-point weighted structure: Case study in twin rotor helicopter

et al. 2015

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“…Lumped-parameter π equivalent models can be directly applied in phase-domain [1][2][3][4][5][6][7]. Generally, domain transformations are frequency dependent [8][9][10][11][12][13][14]. A large number of units of this π equivalent model are necessary for taking into account the distributed characteristic of the transmission line parameters.…”

Section: Introductionmentioning

confidence: 99%

Influences of Damping Resistances on Transient Simulations in Transmission Lines

Prado¹,

Bespalhulk²,

Silva³

et al. 2017

PIER B

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Abstract-Simulations of electromagnetic transients in transmission lines can be carried out using simple circuit model. In the case of applications of simple circuit models based on π circuits, there are problems mainly caused by numeric oscillations. The lumped-parameter π equivalent model can be used with some advantages. The numeric integration method applied to the simulations of electromagnetic transients is the trapezoidal rule. If this numeric method is associated with the π equivalent model, results obtained from the simulations are distorted by Gibbs' oscillations or numeric ones. The introduction of damping resistance parallel to the series RL branch of the π equivalent model can mitigate Gibbs' oscillations in obtained results. Voltage peaks caused by these oscillations can also be decreased. So, in this paper, the combined influences of the introduction of damping resistance, the number of π circuits and the time step are investigated searching for minimizing Gibbs' oscillations and the voltage peaks in electromagnetic transient simulations. For this, transient simulations are exhaustively carried out for determining the highest voltage peaks, ranges of damping resistances and other parameters of the model, which minimize these voltage peaks caused by Gibbs' oscillations.

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Fractional Order Modeling of Large Three-Dimensional RC Networks

Cited by 84 publications

References 67 publications

Impedance spectroscopy study of conducting polymer blends of PEDOT:PSS and PVA

Impedance spectroscopy study of conducting polymer blends of PEDOT:PSS and PVA

Analytical design of fractional order PID controllers based on the fractional set-point weighted structure: Case study in twin rotor helicopter

Influences of Damping Resistances on Transient Simulations in Transmission Lines

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