Gaseous Dielectrics IX pp 175-180 | Cite as

# Step-Wise Propagation of Long Streamer in Electronegative Gases

Chapter

## Abstract

Observations and numerical simulation showed a step-wise development of a long streamer in highly non-uniform gaps at rising applied voltage.1,2This was obtained in electronegative gases such as air, 0
The first term on the right-hand side is determined by delivery of charge to the new streamer sections that must be charged up to the potential

_{2}and SF_{6}. It is known that the plasma in the streamer channel is characterized by a high density of charged particles (electron density*n*_{ e }~ 10^{13}−10^{15}cm^{−3}) and a considerable difference between electron temperature and gas temperature. Electron-ion recombination and electron attachment to a molecule in the streamer channel of radius*r*reduce fast the value of*n*_{ e }and consequently the conductivity*γ*=*πr*^{ 2 }*en*_{ e }*μ*_{ e }per unit channel length where*µ*_{ e }is the electron mobility. The plasma decay does not need to lead to a decrease of the streamer current which is written as$$
{i_s} \approx {C_s}{\varphi _t}{v_s} + {C_s}{L_s}\frac{{dU}}{{dt}}
$$

(1)

*φ*_{ 1 }of the streamer tip. This component of the current decreases with decreasing channel conductivity.The second term in Eq. (1) describes recharging the formed channel of the length*L*_{ s }and of the capacitance*C**s*per unit length when the applied voltage*U*_{0}(*t*) rises in time. Here,*U*is the time-varying average potential of the streamer. If the streamer develops at a sharp front of the voltage impulse (at high positive values of*dU/dt*), the total current*i*_{ s }can remain constant or even increase in spite of the plasma decay. This will result in a growth of the electric field in the decaying streamer channel:$$
{E_s} = \frac{{{i_s}}}{{\pi {r^2}e{n_e}{\mu _e}}}
$$

(2)

## Keywords

Secondary Wave Applied Voltage Streamer Channel Electric Field Distribution Streamer Length
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## References

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© Springer Science+Business Media New York 2001