Initiation from a point anode in a dielectric liquid

Kim, M.; Hebner, Robert E.

doi:10.1109/tdei.2007.369541

Cited by 9 publications

(19 citation statements)

References 2 publications

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“…While this was a significant accomplishment, subsequent work has failed to identify broader applicability of the power law assumption for the electric field. The current work replicates and extends the results of that previous modeling approach, but uses simple assumptions that have proved to be useful in results of recent work [8] on liquid breakdown.…”

Section: Introductionsupporting

confidence: 74%

“…Consequently, this study investigated the possibility of replicating their results using a simple description of the underlying processes that had proved successful in earlier studies of the breakdown process [8]. The key assumptions of that model is that there is a critical volume in the liquid in which the electric field is strong enough to sustain streamer growth, and that the production, in the volume of electrons with a sufficiently long free path is a stochastic process.…”

Section: Discussionmentioning

confidence: 99%

“…Figure 1 shows the probability of streamer growth as predicted from equation (5). Earlier work [8] suggested that critical volumes tend to be of order 10 -9 to 10 -12 cm 3 . In addition, studies of dc discharge onset in hexane showed that the time between pulses tended to range from about 10 µs to 1000 µs [3].…”

Section: P T Ementioning

confidence: 97%

“…Two key assumptions were used in [8]. The first was that the energy, W, an electron delivered to the liquid upon collision was simply…”

Section: Introductionmentioning

confidence: 99%

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Modeling the Growth of Streamers During Liquid Breakdown

Kim

Hebner

Hallock

2008

IEEE Trans. Dielect. Electr. Insul.

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Earlier work by Fowler, Davaney, and Hagedorn showed that the morphology of an anode streamer could be modeled as stochastic growth of a branching fractal tree in point-plane geometry. This investigation reproduces the results of that earlier study. Because one of the concerns about the earlier work is that the electric field dependence appeared to be unphysical, the model was modified to operate under assumptions that are consistent with those that have proven useful in earlier investigations. Specifically, linear electric field dependence was assumed and there is an assumed variability in the number density of available electrons. Computations using this assumption also produce the same range of morphologies that has been measured in experiments. In addition, some assessments of sensitivity to other possible variables are made. First, the sharp cutoff in the electric field strength is replaced with a presumably more realistic exponential dependence on energy. Under this assumption, it is also possible to simulate the experimentally observed behavior of anode streamers. It is shown that three possible refinements to the model have small, and likely negligible, effects. The first is using variable streamer step lengths in the calculation rather than the fixed step length used in the earlier work. The second is to assume growth at one point in the streamer makes growth in other parts somewhat less likely. The third is the assumption that the probability of a streamer making the next step in growth is influenced by the distance of the inter-electrode gap that has already been traversed.

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Section: Introductionsupporting

confidence: 74%

Section: Discussionmentioning

confidence: 99%

Section: P T Ementioning

confidence: 97%

“…Two key assumptions were used in [8]. The first was that the energy, W, an electron delivered to the liquid upon collision was simply…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling the Growth of Streamers During Liquid Breakdown

Kim

Hebner

Hallock

2008

IEEE Trans. Dielect. Electr. Insul.

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“…The stochastic nature of the growth is assumed to be attributable to the stochastic nature of available electrons. An available electron is one that through some random process, e.g., cosmic radiation, scattering, etc., is in a position to be accelerated by the electric field and gain sufficient energy to produce electron impact ionization [6].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Modeling of Streamer Transitions

Kim¹,

Murphy

Hebner

2008

2008 Annual Report Conference on Electrical Insulation and Dielectric Phenomena

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Abstract-Simulations of the growth of streamers using a model based on the stochastic growth of a branching fractal tree have shown good fidelity in matching the morphology of streamers in liquids. An important aspect that has not yet been simulated is the transition between Type 1 and Type 2 streamers. This work explores the effect of a variation of the applied voltage during streamer growth as well as the effect of differing amounts of available electrons during growth. Neither of these assumptions produced the experimentally observed transitions. These results produced a possible approach that could modify the step length in the simulation in relation to the electric field that may trigger the transition. It also points out that the transition might be due to hydrodynamic instabilities that are not captured by the model.

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