Stochastic models of partial discharge activity in solid and liquid dielectrics

Куперштох, А. Л.; Karpov, D. I.; Медведев, Д. А.; Stamatelatos, C. P.; Charalambakos, V.P.; Pyrgioti, E.; Agoris, D.P.

doi:10.1049/iet-smt:20060104

Cited by 54 publications

(33 citation statements)

References 28 publications

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“…They velocities of their expansion are from 100 m/s up to about 1 km/s. The simulation of the growth of gas cavities in the electric field was performed in [8]. It was shown that the growth dynamics and the development of the EHD flows are governed with the electric field acting on injected ions near the vapour-liquid interface.…”

Section: Simulation Of An Ion In Dense Dielectric Mediamentioning

confidence: 99%

Study of microstructure of dielectric liquid in high electric field

Karpov

Куперштох

2014

2014 IEEE 18th International Conference on Dielectric Liquids (ICDL)

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The method of molecular dynamics (MD) was applied to study the processes in liquid and dense gas under the action of an extremely high electric field. Two following model for a dielectric was used. A substance consisted of the molecules with a constant electrical dipole moment. The parallel code was specially developed using the CUDA technology in order to produce the computations of large ensembles of the molecules with the MD method using the high-performance graphic cards. The correlation function of the orientation of the dipole molecules was calculated for various densities of the substance. The density dependence was studied of the radius of the region in which the ion influences on the molecules with the constant dipole moment. The density dependency of the electric potential well depth near the ion placed in a polar dielectric was obtained. The formation of vapour channels in a liquid dielectric under the action of extremely high electric field (anisotropic spinodal decomposition) was also simulated. It was shown that channels are formed approximately along the electric force lines and the process looks like the formation of cracks in solid body due to mechanical stresses. The results obtained are important for understanding the microprocesses preceding a streamer formation during the process of discharge development in dielectric liquids.

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Section: Simulation Of An Ion In Dense Dielectric Mediamentioning

confidence: 99%

Study of microstructure of dielectric liquid in high electric field

Karpov

Куперштох

2014

2014 IEEE 18th International Conference on Dielectric Liquids (ICDL)

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“…Kupershtokh et al [18] recently improved the maximum ratio to be 10 7 by coupling a proper EOS with the Zhang-Chen approach [19]. The model is also applied in dielectric liquid discharge simulations [20].…”

Section: Introductionmentioning

confidence: 97%

Lattice Boltzmann simulation of cavitating bubble growth with large density ratio

Chen

Zhong

Yuan

2011

Computers & Mathematics with Applications

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a b s t r a c tNatural cavitation is defined as the formation of vapor bubbles in a flow due to the pressure falling below the liquid's vapor pressure. The inception of the cavitation bubble is influenced by a lot of aspects, such as impurities, turbulence, liquid thermal properties, etc. In this paper, the exact difference method (EDM) and the Carnahan-Starling realgas equation of state (EOS) are coupled in the Shan-Chen multiphase lattice Boltzmann model, which is validated as being suitable for simulating high liquid/vapor density ratio multiphase flows. The 2D cavitation ''bubble'' growth is simulated under a quiescent and shear flow in the inception stage. Besides yielding the large density ratio, the realgas EOS also leads to apparently different compressibilities for liquid and vapor. The results agree with Rayleigh-Plesset predictions much better than those of a previous publication [X. Chen, Simulation of 2D cavitation bubble growth under shear flow by lattice Boltzmann model, Communications in Computational Physics 7 (2010) 212-223]. In the meantime, a comparison is conducted for single-bubble behavior under different shear rates, with reduced temperature T /T critical = 0.6891 and relaxation time τ = 1.0. The simulation results show that the cavitation bubble deformation is consistent with the bubble dynamics, D ∝ Ca, where D and Ca are the bubble deformation and the capillary number respectively. The shear rate hardly influences the bubble growth rate.

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“…Later, Hu et al [25] extended this method to general EOS. Moreover, some studies have shown that the exact difference method (EDM) force scheme [26] applied in Kupershtokh et al's work leads to error terms in the corresponding macroscopic equation, and thus the numerical problem being solved is 5 different from the original macroscopic problem [3,21]. Huang We here report a numerical error analysis of the Kupershtokh et al's model for EDM force scheme.…”

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confidence: 93%

Force method in a pseudo-potential lattice Boltzmann model

Uddin

2015

Journal of Computational Physics

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Please cite this article in press as: A. Hu et al., Force method in a pseudo-potential lattice Boltzmann model, J. Comput. Phys. (2015), http://dx.Abstract Single component pseudo-potential lattice Boltzmann models have been widely studied due to their simplicity and stability in multiphase simulations. While numerous model have been proposed, comparative analysis and advantages and disadvantages of different force schemes is often lacking. A pseudo-potential model to simulate large density ratios proposed by Kupershtokh et al. [1] is analyzed in detail in this work. Several common used force schemes are utilized and results compared. Based on the numerical results, the relatively most accurate force scheme proposed by Guo et al. [2] is selected and applied to improve the accuracy of Kupershtokh et al.'s model. Results obtained using the modified Kupershtokh et al.'s model [1] for different value of τ are compared with those obtained using Li et al. [3] 's model. Effect of relaxation time τ on the accuracy of the results is reported. Moreover, it is noted that the error in the density ratio predicted by the model is directly correlated with the magnitude of the spurious velocities on (curved) interfaces. Simulation results show that, the accuracy of Kupershtokh et al.'s model can be improved with Guo et al. [2] 's force scheme. However, the errors and τ 's effects are still noticeable * Corresponding author. Tel.: +86 15210623987 E-mail address: anjie@cqu.edu.cn (A. Hu) 2 when density ratios are large. To improve the accuracy of the pseudo-potential model and to reduce the effects of τ , two possible methods were discussed in the present work . Both, a rescaling of the equation of state and multi-relaxation time, are applied and are shown to improve the prediction of the density ratios.

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Stochastic models of partial discharge activity in solid and liquid dielectrics

Cited by 54 publications

References 28 publications

Study of microstructure of dielectric liquid in high electric field

Study of microstructure of dielectric liquid in high electric field

Lattice Boltzmann simulation of cavitating bubble growth with large density ratio

Force method in a pseudo-potential lattice Boltzmann model

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