TSSP: List Archives

From: Bert Hickman
Date: Thu, 11 Mar 2004 11:37:49 -0600
Subject: Re: [TSSP] THOR: First observations on streamer formation (try II)

Hi Marco,

Excellent - another tool is available for probing the mysteries of 
streamers!

Although it's not very surprising that you would see streamer growth 
during a single bang, especially if the initial corona breakout 
voltage is significantly below Vmax of your system, it is interesting 
that you saw forked and multiple streamers on a single bang. These are 
likely the effects of injected space charge from previous streamer(s) 
influencing the preferred direction taken during propagation of a new 
streamer.

Because there's significant charge transferred during each "step" of 
streamer growth, it should be possible to indirectly measure this via 
resonator base current. Following are a dozen good references covering 
various aspects of corona and streamer formation, modeling, and 
theory/measurement. Let me know if you have any difficulty obtaining 
any of them. Paper #7 below discusses an alternative approach of 
measuring streamer current using a low voltage electrode that may have 
potential applicability, and paper #10 covers charge expenditure 
versus streamer length. Several discuss streamer development/growth 
under oscillatory voltages (typically switching impulses in power 
transmission).

1. Corona Inception Under Steady and D=dV/dt (since corona is a 
precursor to streamer formation):
Abdel-Salam, M.; Allen, N.L., "Inception of corona and rate of rise of 
voltage in diverging electric fields",  Science, Measurement and 
Technology, IEE Proceedings A , Volume: 137 Issue: 4 , July 1990

2. A good discussion of initial corona formation and reverse 
discharges from local space charge region for oscillatory (33 kHz) 
discharges:
Harid, N.; Waters, R.T., "Statistical study of impulse corona 
inception parameters on line conductors", Science, Measurement and 
Technology, IEE Proceedings A , Volume: 138 Issue: 3 , May 1991

3. A good discussion of the effects of space charge and corona for 
conductors energized by AC. Not clear how much applies when the 
frequency is increased:
Rickard, D.A.; Dupuy, J.; Waters, R.T., "Verification of an 
alternating current corona model for use as a current transmission 
line design aid", Science, Measurement and Technology, IEE Proceedings 
A , Volume: 138 Issue: 5 , Sept. 1991

4. Modeling of long sparks using equivalent RLC networks:
Fofana, I.; Beroual, A., "A model for long air gap discharge using an 
equivalent electrical network", Dielectrics and Electrical Insulation, 
IEEE Transactions on [see also Electrical Insulation, IEEE 
Transactions on], Volume: 3 Issue: 2 , April 1996

5. Good discussions of streamer growth and why streamers branch or 
have multiple segments:
A. Watson, D.B.; Ma, L., "Investigation of impulse spark trajectory in 
air between hemispherically-ended rod and plane electrode", Science, 
Measurement and Technology, IEE Proceedings- , Volume: 143 Issue: 2 , 
March 1996

B. Watson, D.B.; Ma, L., "The impulse breakdown trajectory in air 
between rod and plane electrodes", Dielectrics and Electrical 
Insulation, IEEE Transactions on [see also Electrical Insulation, IEEE 
Transactions on] , Volume: 4 Issue: 1 , Feb. 1997

6. Good discussion of corona and the influence of space charge under 
double exponential and oscillatory impulses (at 33 and 125 kHz):
Rickard, D.A.; Harid, N.; Waters, R.T., "Modelling of corona at a 
high-voltage conductor under double exponential and oscillatory 
impulses", Science, Measurement and Technology, IEE Proceedings- , 
Volume: 143 Issue: 5 , Sept. 1996

7. Measuring streamer currents in a novel fashion:
Lan Gao; Cooray, V.; Thottappillil, R.; Scuka, V., "Study of 
cathode-directed positive streamers in air by streamer current and 
luminosity measurements", Electrical Insulation and Dielectric 
Phenomena, 1997. IEEE 1997 Annual Report., Conference on , Volume: 2 , 
1997

8. Model for entire discharge for long air gap RF discharges under 
impulse and oscillatory excitation - extends modeling work from paper 
#4 above:
I Fofana and A Béroual, "A predictive model of the positive discharge 
in long air gaps under pure and oscillating impulse shapes", J. Phys. 
D: Appl. Phys. 30 No 11 (7 June 1997) 1653-1667

9. Discussion of the mechanisms involved in reigniting the arc channel 
in long air gaps (useful for understanding bang-to-bang 
leader/streamer growth):
N L Aleksandrov and E M Bazelyan, "The mechanism of re-breakdown 
within a post-arc channel in long non-uniform air gaps", J. Phys. D: 
Appl. Phys. 31 No 11 (7 June 1998) 1343-1351

10. Useful discussion on Charge Consumption for long sparks (up to 20 
meters) - potentially important for understanding the magnitude of 
charge transfer between topload and streamers versus streamer length:
T Reess, J Paillol, A Gibert and P Domens, "A study of the mean charge 
consumption of long sparks in air as a function of the gap length and 
the impulse shape", J. Phys. D: Appl. Phys. 31 No 14 (21 July 1998) 
1712-1722

11. Interesting paper showing modeling and behavior of moderate and 
long gaps under impulse and oscillatory excitation:
P Ortega, P Domens and A Gibert, "Predictive modelling of positive 
leader propagation under standard and oscillatory impulse shapes",
J. Phys. D: Appl. Phys. 27 No 6 (14 June 1994) 1233-1241

12. A good paper that discusses space charge and streamer branching, 
and why positive streamers and Lichtenberg Figures show branching 
angle of about 39 degrees. Also includes ANSYS modeling:
Mose Akyuz, Anders Larsson, Vernon Cooray, Gustav Stransberg, "3D 
Simulations of Streamer Branching in Air", 
http://www.hvi.uu.se/IFH/students/mose/mose_artiklar/Sreamer%20Branching.pdf

Please keep us posted of your findings!

-- Bert --
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Marco.Denicolai@tellabs.com wrote:
> The first email was incomplete, sorry. Let's try again :)
> 
> Hello all,
> 
> I spent the last months designing, building and debugging a new 
> controller board to allow my bigger TC (named THOR, see 
> www.iki.fi/dncmrc) to perform a perdetermined number of bangs. Thor is a 
> disruptive TC: a SMPS charges the primary capacitor, synchronizing the 
> charge with the RSG electrode position and reaching a predefined 
> voltage. The new board allows to do this a predefined number of times, 
> as it can count the number of electrode presentations.
> 
> 80% of the effort had to be put into a mixture of shielding, grounding, 
> filtering and optoisolation. Without this the board was prone to 
> misfunctioning due to the powerful transient generated by the bangs. I 
> was able yesterday for the first time to get rid of the noise and see 
> the new board work as it was supposed to.
> 
> The meaning of the setup was to investigate how bang size, bang 
> repetition rate and number of bangs influenced the growth of the 
> streamers. This is a question often asked in the list posts and the 
> answers are usually different, based on observation, speculation or 
> "measurements". For instance, I recall someone answering that he gets 
> full length streamers even with a single bang (!). Then there are the 
> explanations about ionized channel formation and its lifetime, etc.
> 
> Yesterday, as I wrote above, I was able to play with the setup for the 
> first time. I haven't got yet measurements and data but I still wanted 
> to share with you what I have seen. 
> I changed the number of consecutive bangs. With a single bang I got 
> about 15 cm long streamers. Increasing the number of bangs I got 
> increased length. At about 13-14 bangs I reached the full streamer 
> length, that is a grounded stick at about 3 meters from the toroid.
> 
> Nothing new here: this is what I expected to see. The surprising thing 
> was the behaviour with a SINGLE bang. I could see the formation of:
> - a single streamer OR
> - a biforked streamer OR
> - at least two streamers from two different toroid locations
> 
> 
>>>This means that a single bang is capable of producing a number of 
> 
> streamers, not just one<<
> 
> Next I'll have to decide what to measure and how. First ideas:
> - current throught the grounded stick (with a Rogoski coil) when there 
> is no hit. Could it register the smaller streamers?
> - current at the secondary bottom
> - readings with Terry's old Voltage-current antenna
> - run of statistical measurements bang_amount vs. streamer_length vs. 
> bang_voltage
> 
> Here your input and help is more than welcome. Also if you know/find 
> interesting references on high frequency streamer formation, dielectric 
> strength, etc. please, let me know.
> 
> Regards 
> 
> 
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