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Registered Member #146
Joined: Sun Feb 12 2006, 04:21AM
Location: Austin Tx
Posts: 1055
I think the control scheme worked to keep the ramp the same until the DC bus cap "ran out" at which point the RF current suddenly collapsed. With the extra capacitance this wouldn't happen, but I think the streamer had reached its final length before even the small capacitor ran out of charge.
Well, it would be useful to know how much real power the bridge delivers throughout your bang. I recently started messing with my QCW system and found a tuning that actually limited the power of the system quite a bit, where the primary current actually went down with increasing drive voltage! I suppose it might be possible, with current regulation, that your pulse skipper starts jumping more pulses and makes the effective voltage lower, hence the sparks dont grow any longer... maybe? The nature of your control makes it somewhat difficult to know what the real power is, since you have to average all the driving cycles vs recycling cycles to know what the actual power factor is.
Lucky for me and my bus modulation scheme, i can assume my power factor is unity (zero current switching, V and I are in phase) and just look at the volts and amps going to the DRSSTC bus. Of course, im currently investigating other techniques to get rid of the bus modulation, namely class DE switching applied to a phase-shifted bridge. Initially this might look a bit lousy since my existing QCW system needs to modulate the voltage from 50V to 350V. More investigation of the behavior of a double resonant transformer shows there are in fact 3 modes that can give zero current switching: the upper and lower poles*, and a zero frequency somewhere in between**. When operating at the zero, the voltage gain is simply due to the transformer ratio of the system, where as when you operate at either pole, the voltage gain is limited by output loading, so the voltage will just keep going as high as the spark lets it. Anyway, operating at the zero gives a more direct control of the toroid voltage and the whole thing acts like a voltage source. I measured a 5 foot straight spark and found that i need a starting voltage of 56kV and a top voltage of 65kV, so only about 15% modulation depth, which suggests to me that class DE switching is probably not a bad candidate. Of course the control may end up quite a bit more sophisticated.
* in my typical primary feedback schemes, the system will jump to one of these pole frequencies because they satisfy the zero phase requirement for ZCS. Depending on the tuning, one pole frequency gets more energy in it than the other and takes over once this dynamic settles out.
** It takes proper control to get the thing to oscillate at the zero frequency because there is not much gain there compared to the pole frequencies. Its worth noting that a system oscillating at pole frequency will actually converge to the zero frequency as the Q of the system drops sufficiently, and the system effectively looks like a voltage source. I believe my original QCW setup transitions from upper pole operation to zero operation, which is marked by a sharp increase in primary current (vs voltage) near the end of my ramp, that is, the power goes up more than linearly. It also causes my sparks to branch. Tests with a lower impedance resonator avoided this issue, likely because the lower impedance resonator maintains operation at the pole frequency.
Id like to write up a paper about all this QCW DRSSTC theory once i get it all worked out on my own. Turns out there are very many ways to tune a system, including some that are actually intentionally out of tune to exploit specific behaviors.
Registered Member #2292
Joined: Fri Aug 14 2009, 05:33PM
Location: The Wild West AKA Arizona
Posts: 795
Steve Ward wrote ...
I think the control scheme worked to keep the ramp the same until the DC bus cap "ran out" at which point the RF current suddenly collapsed. With the extra capacitance this wouldn't happen, but I think the streamer had reached its final length before even the small capacitor ran out of charge.
Well, it would be useful to know how much real power the bridge delivers throughout your bang. I recently started messing with my QCW system and found a tuning that actually limited the power of the system quite a bit, where the primary current actually went down with increasing drive voltage! I suppose it might be possible, with current regulation, that your pulse skipper starts jumping more pulses and makes the effective voltage lower, hence the sparks dont grow any longer... maybe? The nature of your control makes it somewhat difficult to know what the real power is, since you have to average all the driving cycles vs recycling cycles to know what the actual power factor is.
Lucky for me and my bus modulation scheme, i can assume my power factor is unity (zero current switching, V and I are in phase) and just look at the volts and amps going to the DRSSTC bus. Of course, im currently investigating other techniques to get rid of the bus modulation, namely class DE switching applied to a phase-shifted bridge. Initially this might look a bit lousy since my existing QCW system needs to modulate the voltage from 50V to 350V. More investigation of the behavior of a double resonant transformer shows there are in fact 3 modes that can give zero current switching: the upper and lower poles*, and a zero frequency somewhere in between**. When operating at the zero, the voltage gain is simply due to the transformer ratio of the system, where as when you operate at either pole, the voltage gain is limited by output loading, so the voltage will just keep going as high as the spark lets it. Anyway, operating at the zero gives a more direct control of the toroid voltage and the whole thing acts like a voltage source. I measured a 5 foot straight spark and found that i need a starting voltage of 56kV and a top voltage of 65kV, so only about 15% modulation depth, which suggests to me that class DE switching is probably not a bad candidate. Of course the control may end up quite a bit more sophisticated.
* in my typical primary feedback schemes, the system will jump to one of these pole frequencies because they satisfy the zero phase requirement for ZCS. Depending on the tuning, one pole frequency gets more energy in it than the other and takes over once this dynamic settles out.
** It takes proper control to get the thing to oscillate at the zero frequency because there is not much gain there compared to the pole frequencies. Its worth noting that a system oscillating at pole frequency will actually converge to the zero frequency as the Q of the system drops sufficiently, and the system effectively looks like a voltage source. I believe my original QCW setup transitions from upper pole operation to zero operation, which is marked by a sharp increase in primary current (vs voltage) near the end of my ramp, that is, the power goes up more than linearly. It also causes my sparks to branch. Tests with a lower impedance resonator avoided this issue, likely because the lower impedance resonator maintains operation at the pole frequency.
Id like to write up a paper about all this QCW DRSSTC theory once i get it all worked out on my own. Turns out there are very many ways to tune a system, including some that are actually intentionally out of tune to exploit specific behaviors.
Interesting you are trying class DE, I did a lot of simulation on DE a while back don't see any reason it won't work other than you kinda have to use MOSFETs in order for it to actually ZVS. but with some nice large MOSFETs this may not be a problem. A phase shifted bridge also "should" be more efficient than the buck/ZCS setup.
Steve did you ever nail down the spark model for the QCW? If I'm remembering right you said you had to modify it somewhat to get the same primary current profile. I ask because I have a working working DE model, just never had a proper QCW model to test it on.
Registered Member #146
Joined: Sun Feb 12 2006, 04:21AM
Location: Austin Tx
Posts: 1055
For a spark model, i found that using a ~20k resistor in series with a 36kV TVS diode (a diode with a forward and reverse voltage of 36kV for example) works pretty good... it at least gets me in the ballpark. These values were just guesses and dont handle the capacitive aspect of the streamer so i cant say its perfect, but its pretty reasonable i think. Really, the model should be more frequency dependent, so maybe a parallel capacitance with the zener would work ok. I havent tried it yet since the capacitance ought to be varying with streamer length and its somewhat confusing how much capacitance should actually be there.
Registered Member #195
Joined: Fri Feb 17 2006, 08:27PM
Location: Berkeley, ca.
Posts: 1111
I dont know if this a stupid question or not when there is frequency splitting is it so that the upper pole is voltage or inductivly dominant and the lower current or capacitivly dominant? does the the spark behave differently when ever you use the lower pole or the upper pole?
Registered Member #30
Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Steve, are you saying you actually found a practical use for the zero in a Tesla coil transfer function? :O
Antonio suggested driving it years ago, but I wasn't interested because it's a kind of anti-resonance so you can't lock a PLL to it. I thought the gain of it was literally zero in the steady state, not the transformer ratio.
I agree with everything else in your post. Under heavy loading the system doesn't have two resonant frequencies any more, just a hump like a bandpass filter. Radio design handbooks show how to make double-tuned RF transformers (radio ham's name for a DRSSTC :) ) and there is a critical coupling coefficient, a function of the loaded Q, that defines the boundary between double humped and single humped responses. I can't remember the formula right now.
Registered Member #146
Joined: Sun Feb 12 2006, 04:21AM
Location: Austin Tx
Posts: 1055
When you drive a DRSSTC at its zero frequency, the inverter output voltage is in phase with the secondary output voltage, so the whole thing looks like a *stiff* voltage source and the secondary is parallel resonant. With infinite Q on primary and secondary, the primary current settles out to zero once you get the secondary voltage up to its maximum (hence making this mode hard to achieve with current-feedback based switching). As the Q is lowered, the inverter has to deliver whatever power necessary to maintain the same secondary voltage. Though i have this nagging feeling that im forgetting about something bad that happens when the thing goes out of tune from streamers... i think its possible for the zero to disappear (as in, you cant operate there without hard switching) because not all the reactances cancel out perfectly anymore, thus the load appears capacitive.
This makes me think of another idea i wanted to try, you can think of it as the reverse of the SSTC. Consider how on a SSTC you have minimal energy storage in the primary capacitance (the DC blocker cap), and so we claim its a single-resonant system (damn near most of the energy is stored in the secondary). Well, you can achieve a very similar thing by using a tuned primary and an "untuned" secondary, basically by making the secondary capacitance *too small* for resonance. This gives a similar "voltage source" like behavior since the secondary voltage is more in-phase with the inverter output voltage (well the secondary C makes for some phase error here). Its basically a resonant primary with a "step up transformer" rather than a "tesla coil". Putting most of the energy storage in the primary side lets it have more control over the operating frequency (good for when the sparks hit ground), and also allows for a much tinier secondary since its not storing much energy. Its feasible, i think, to make something like a 2 inch long winding for a secondary (likely under oil) that does 60 inch sparks (in air). I still need to work on this idea some more to figure out if its a dead end or not... lets just say im not completely sold on needing double resonance :P.
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