Modified routine for decreasing numeric oscillations at associations of lumped elements

Prado, Angelo Pires do; Lessa, Leonardo; Monzani, Rafael Cuerda; Bovolato, L.F.; Filho, José Pissolato

doi:10.1016/j.epsr.2014.03.006

Cited by 9 publications

(18 citation statements)

References 20 publications

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“…Electrical power systems with a long extension or wide-area electrical power systems, mainly the electrical transmission systems and electrical circuits that works with very high frequencies can be modeled as transmission lines [6][7][8][16][17][18][19][20][21][22][23][24][25][26][27]. There are delays between the input signals and output ones because of the great extension or very high frequency.…”

Section: Related Workmentioning

confidence: 99%

“…1(b) and 2(b) can be changed, avoiding the influence of numeric oscillations. For this, using the introduction of damping resistances is checked, investigating the best ranges for this application [7,12]. In this case, the models without frequency influence are used.…”

Section: Related Workmentioning

confidence: 99%

“…The π equivalent cascade connection consists of three different types: the π circuit connected to the sources at the beginning of the line, the π circuit at the end of the line and the intermediate units between the borders of the line [7]. General intermediate circuit cells are represented as shown in Fig.…”

Section: Equivalent Transmission Line Modelmentioning

confidence: 99%

“…The infinitesimal unit model of transmission lines can be represented by a lumped-parameter π equivalent model. 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].…”

Section: Introductionmentioning

confidence: 99%

“…For this, considering π equivalent cascade connections, one of the simplest numeric methods is to introduce damping resistances in parallel to the series elements of each π unit [12]. The influences of the number of π circuits, the time step and the damping resistance on the voltage peaks caused by Gibbs' oscillations are analyzed [7,12]. Using three-dimensional graphics, the ranges of the mentioned parameters are investigated for mitigation of voltage peaks in numeric simulations of electromagnetic transients.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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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