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*To*: tesla-at-pupman-dot-com*Subject*: Re: Secondary Modeling with Streamer Load*From*: "Tesla list" <tesla-at-pupman-dot-com>*Date*: Sat, 17 Feb 2001 17:01:08 -0700*Resent-Date*: Sat, 17 Feb 2001 17:12:09 -0700*Resent-From*: tesla-at-pupman-dot-com*Resent-Message-ID*: <YzgRjB.A.mOE.WNxj6-at-poodle>*Resent-Sender*: tesla-request-at-pupman-dot-com

Original poster: "Jim Lux by way of Terry Fritz <twftesla-at-uswest-dot-net>" <jimlux-at-earthlink-dot-net> I think that one could probably do a pretty good electrical model, just assuming that the streamer is a hollow tube 1 cm in diameter (B&R claim that this is a good nominal diameter for the arc, from a field standpoint) that grows at an appropriate rate..and with the appropriate series resistance and inductance. That is model it as a series of rings. B&R comment that this would neglect all sorts of interesting effects (like branching)... They have an interesting graph showing the charge density as a function of distance from the anode, which is apparently greatly affected by the diameter of the anode. The nominal leader/streamer leaving a small anode has a very different E field than that from a large diameter anode, which changes how the "leading end" of the streamer works (i.e. how fast it can perturb the field enough to breakdown for the next "jump"). Also, you'd need to take into account the non-negligble source inductance of the topload feeding a streamer that is growing VERY fast. However, some sort of time stepped finite element model is definitely the way to go. B&R advocate using a variable sized computation mesh (fine at the ends of the spark (where the "action" is), coarser in the middle), but one has to trade off the significant human time required to code this vs the fairly cheap machine time to run a fine grid over everything. The other problem is that the problem can become "ill-conditioned" and the simulation might not be numerically stable. I've been looking at some parallelized versions of FE codes like POISSON and SUPERFISH... > > One could also consider a model where the secondary is "filled" with energy > from the primary and then quenched so as to remove the primary from the > system. Then a real time streamer load (z(t)) could be added without > primary to secondary energy transfer and coupling issues. Not quite "real" > but the data would point to where to go next. This case is not terribly > different from a single shot disruptive coil's operation. Taking real > measurements for that case is relatively simple. > > I too think a 2D model would be very accurate, Simply have the streamer > firing straight up thought the axis of the coil so that all the present > cylindrical modeling tools would apply. A theoretically very accurate case > but still friendly to model... I have played with that a little with > E-Tesla and it seems to work fine. >

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